The speed of the spaceship is 0.971c
Explanation:
Since Steve is moving at a speed close to the speed of light, the time observed by Kasey will be dilated, according to the equation
[tex]T' = \frac{T}{\sqrt{1-(\frac{v}{c})^2}}[/tex]
where
T' is the time measured by Kasey
T is the time measured by Steve
v is Steve's speed
c is the speed of light
Here we have:
T = 10 years (time measured by Steve)
When Steve is back, his age is 48 + 10 = 58 years. Kasey has now the same age, so the amount of time passed according to Kasey is
[tex]T' = 58 -16=42 y[/tex]
Substituting into the equation, we can fidn the speed of Steve's spaceship:
[tex]\sqrt{1-(\frac{v}{c})^2}=\frac{T'}{T}\\1-(\frac{v}{c})^2=(\frac{T'}{T})^2\\v=c\sqrt{1-(\frac{T'}{T})^2}=c\sqrt{1-(\frac{10}{42})^2}=0.971 c[/tex]
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how do you calculate the braking distance
The braking distance is given by [tex]s=\frac{-u^2}{2a}[/tex]
Explanation:
When the driver of a car hits the pedal of the brakes, the car starts decelerating until it stops. Assuming the deceleration is constant, then the motion is a uniformly accelerated motion, so we can use the following suvat equation:
[tex]v^2-u^2=2as[/tex]
where
u is the initial speed of the car
v is the final speed of the car, which is zero because the car comes to rest:
v = 0
a is the acceleration of the car
s is the distance travelled by the car during the deceleration, so it is the braking distance
Therefore, re-arranging the equation for s, we find an expression for the braking distance:
[tex]s=\frac{-u^2}{2a}[/tex]
Note that the sign of [tex]a[/tex] is negative since the car is decelerating, therefore the final sign of [tex]s[/tex] is positive.
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the millersburg ferry (m=13000.0 kg loaded) puts its engines in full reverse and stops in 65 seconds. if the speed before braking was 2.0 m/s, what was the braking force supplied by the propellers? solve using impulse and momentum.
The braking force is -400 N
Explanation:
We can solve this problem by using the impulse theorem, which states that the impulse applied on the ferry (the product of force and time) is equal to its change in momentum:
[tex]F \Delta t = m(v-u)[/tex]
where in this problem, we have:
F is the force applied by the brakes
[tex]\Delta t = 65 s[/tex] is the time interval
m = 13,000 kg is the mass of the ferry
u = 2.0 m/s is the initial velocity
v = 0 is the final velocity
And solving for F, we find the force applied by the brakes:
[tex]F=\frac{m(v-u)}{\Delta t}=\frac{(13000)(0-2.0)}{65}=-400 N[/tex]
where the negative sign indicates that the direction is backward.
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After missing an approaching ball, a baseball player applies a torque of 36.2 Nm To slow the bat from 3.5 rev/s to 0.25 rev/s in 0.21 seconds. What is the magnitude of the angular acceleration of the bat in rad/s²
suppose you have two toy cars. Each has a mass of 0.04 kg . the cars have tape on their bumpers that will cost them to couple together. One car is stopped on the track. The other car, traveling at a velocity of 4 m/s, hits the first car. What is the momentum of the coupled cars? Answer ASAP!
The momentum of the coupled cars is 0.16 kg m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in absence of external forces, the total momentum of the two cars must be conserved before and after they couple together.
Mathematically, this can be written as
[tex]p_i = p_f\\m_1 u_1 + m_2 u_2 = p_f[/tex]
where:
[tex]m_1 = m_2 = 0.04 kg[/tex] is the mass of the two cars
[tex]u_1 =4 m/s[/tex] is the initial velocity of the first car
[tex]u_2=0[/tex] is the initial velocity of the second car, which is at rest
[tex]p_f[/tex] ithe momentum of the coupled cars, after the collision
By re-arranging the equation and substituting the values that we have, we find the final momentum:
[tex]p_f = m_1 u_1 + m_2 u_2 = (0.04)(4)+0=0.16 kg m/s[/tex]
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The momentum of the coupled toy cars after the collision is 0.16 kg·m/s.
In this problem, we are dealing with the conservation of momentum.
To find the momentum of the coupled cars, we first need to calculate the initial momentum of the moving car and then use the conservation of momentum principle to find the final momentum of the system.
Initial momentum of the moving car:
p = m * vwhere
m = 0.04 kg and v = 4 m/s.p = 0.04 kg * 4 m/s
p = 0.16 kg·m/s
Since the car is stationary, its initial momentum is 0 kg·m/s.
Add the momentum of both cars:
p(total_initial) = 0.16 kg·m/s + 0 kg·m/s p(total_initial) = 0.16 kg·m/sAfter collision, the cars couple together and move as a single object with a combined mass
Mt = 0.04 kg + 0.04 kg = 0.08 kg.Using the conservation of momentum principle, the total momentum before and after the collision remains the same. Thus:
p(total_initial)= 0.16 kg·m/sThe momentum of the coupled cars after the collision is 0.16 kg·m/s.
A car with a mass of 1,000 kg moving with an initial velocity of 8 m/s is brought to rest by colliding with a truck. The collisions takes place over a time span of 0.2 s.Calculate the force exerted on the car
Answer:
-40,000 N
Explanation:
First, use the kinematics equation v(f) = v(i) + at. Final velocity is 0, initial is 8, and time is 0.2 seconds. Solving for a, you get -40 m/s^2. Then, use Newton’s second law, F=ma, to find the force. F = (1000)(-40) = -40,000 N.
Final answer:
The force exerted on a car with a mass of 1,000 kg, which is brought to rest from an initial velocity of 8 m/s over a time span of 0.2 s, is calculated to be 40,000 N in the direction opposite to the car's initial motion.
Explanation:
To calculate the force exerted on a 1,000 kg car that is brought to rest from an initial velocity of 8 m/s over a time span of 0.2 s, we can apply the concept of impulse and momentum. The impulse exerted on the car can be found using the formula:
Impulse = Change in Momentum = Force × Time
The change in momentum is equal to the final momentum minus the initial momentum. Since the car is brought to rest, its final momentum is 0, and the initial momentum is the product of the mass and the initial velocity. Therefore, we have:
Change in Momentum = 0 - (Mass × Initial Velocity)
Change in Momentum = 0 - (1,000 kg × 8 m/s)
Change in Momentum = -8,000 kg·m/s
The impulse exerted on the car is also the product of the force exerted and the time interval:
Force × Time = Change in Momentum
Force × 0.2 s = -8,000 kg·m/s
Force = -8,000 kg·m/s / 0.2 s
Force = -40,000 N
The negative sign indicates that the force is acting in the opposite direction of the car's initial motion. Therefore, the force exerted on the car is 40,000 N in the direction opposite to the car's initial motion.
All waves must ____ have to travel through
Explanation:
Wave
It is the periodic disturbance in a medium.
Types of Wave
There are two types of wave in general depending upon their propagation through a substance.
• Mechanical
• Electromagnetic
Mechanical Wave
It is the kind of wave which needs medium to travel. For example: Sound Wave
That means sound can be heard only whenever there is presence of certain substance like water, glass, air etc .It can’t be heard in vacuum no matter how loud is the sound.
Electromagnetic Wave
Is that which can travel through medium as well as through vacuum. For example: Light
But unlike sound, light can be seen through a substance or in vacuum. That is the reason it is referred as electromagnetic wave.
if two forces 3N and 20N acts on a body of mass 15kg, find the acceleration
Which two conditions must exist in order for radiation to occur?
the presence of a solid, liquid, or gas and a temperature difference
direct contact of molecules and the presence of a solid, liquid, or gas
the presence of electromagnetic waves and direct contact of molecules
a temperature difference and the presence of electromagnetic waves
Answer:
D
Explanation:
(D) A temperature difference and the presence of electromagnetic waves.
Explanation:In order for radiation to occur, there must be a difference in temperature for the thermal energy to be transferred, and there has to be electromagnetic waves.
Radiation = The transfer of thermal energy via electromagnetic waves
Since we know we need electromagnetic waves, only either option C or D could be correct.
Q: How do we know that radiation needs to have a difference in temperature?Let's look at an example, such as the Sun and the Earth.
The sun is a star, a burning ball of gas. Because it is gas, it is less dense, and its temperature is way higher than the mainly solid and liquid Earth.
A: Heat from the sun (thermal energy from the sun) is being transferred to the Earth via radiation, and for thermal energy to transfer (or become heat), there has to be a difference in temperature.
More below:
+ In order for thermal energy to transfer in the first place, it has to become heat.
Heat ONLY transfers from warmer objects to cooler objects, meaning that there has to be a warmer object and a cooler object, or a "difference in temperature" in order for something like radiation to occur.
A 1.5 kg ball is thrown upward at 10 m/s. What is its velocity when it is 2 m above the release point?
Answer:
7.75m/s or [tex]2\sqrt{15}m/s[/tex]
Explanation:
m = 1.5kg
u= 10m/s
s = 2m
a = [tex]10m/s^{2}[/tex]
v = ?
acceleration due to gravity is negative when an object is going up because the force of gravity reduces the speed of the object
using the formula ;
[tex]v^{2} = u^{2} - 2as[/tex] since the object is moving upwards (negative acceleration)
= 100 - 2(10)(2)
100 - 40
[tex]v^{2}[/tex] = 60
v = [tex]\sqrt{60}[/tex]
= 7.75m/s
Velocity is a vector quantity. The value of the final velocity for the given ball is 7.75 m/s.
From kinamatic equation,[tex]v^2= u^2 +2as[/tex]
Where,
[tex]v[/tex] - final velocity
[tex]u[/tex]- initial velocity = 10m/s
[tex]a[/tex] - acceleration = [tex]10 \rm \ m/s^2[/tex]
[tex]s[/tex] - speed =2 cm
Put the values in the equation,
[tex]v^2 = 100 - 2(10)(2)\\\\v = \sqrt {100-40}\\\\v = 7.75\rm \ m/s[/tex]
Therefore, the value of the final velocity for the given ball is 7.75 m/s.
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Which is NOT an example of a longitudinal wave?
The 1st example is NOT a longitudinal wave
Explanation:
Waves are periodic disturbance of the space that travel carrying energy but not matter.
Depending on their vibration, waves are classified into two types:
Transverse waves: in transverse waves, the vibration of the wave occurs in a direction perpendicular to the direction of propagation of the wave. Examples of transverse waves are electromagnetic waves.Longitudinal waves: in longitudinal waves, the vibration of the wave occurs in a direction parallel to the direction of propagation of the wave (back and forth), creating regions of higher particle density (compressions) and lower particle density (rarefactions). Examples of longitudinal waves are sound waves.In this problem we have four options given:
The first picture represents a transverse wave, because the vibration of the robe is up and down, while the wave propagates on the left-right directionThe second picture represents a sound wave, which is a longitudinal waveThe 3rd picture represents a longitudinal wave, since the vibration of the slinky is back and forth along the direction of propagationThe 4th picture also represents a sound wave, which is longitudinalTherefore, the only wave which is not longitudinal is the one in the 1st picture.
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Longitudinal waves are those where the displacement of the medium is along the direction of the wave's propagation, such as sound waves. An example that does not fit into this category is light waves, which are transverse waves, having their oscillations perpendicular to the direction of the wave's movement.
Explanation:Longitudinal waves are waves in which the displacement of the medium is in the same direction, or opposite direction, to the direction of propagation of the wave. Examples are sound waves and seismic P-waves. However, an example of a wave that is not longitudinal would be light waves.
Light waves are transverse waves. This means that their oscillations are perpendicular to the direction of energy transfer. Unlike longitudinal waves, which contain compressions and rarefactions, transverse waves have peaks and troughs.
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The distance versus time graph for Object A and Object B are shown.
A graph titles Distance vs Time. A straight slanting line is drawn through point 7 on the y-axis and this line is labeled Object A. The graph for Object B is a straight slanting line passing through the origin
What is the similarity between Object A and Object B?
Both have the same slope.
Both move with variable speed.
Both move with constant speed.
Both start the journey from the same point.
Answer:
Answer: Both move with constant speed.
Explanation:
Constant Speed Motion
When an object moves in such a way that it travels the same distances at the same times, we can say its speed is constant. For example, if it travels x=10 m in t=2 seconds and later it travels x=20 m in t=4 seconds, its speed is constant and equal to v=5 m/s. The relation between the variables x,t, and v is
x=v.t
Note that the relation between x and t is v, a constant value, thus the graph x-t is a line.
The question describes two graphs, for Object A and Object B respectively, and both of the descriptions correspond to lines. We don't have much information about the characteristics of the lines, but we can be sure, according to the definitions stated above, that both objects are traveling at a constant speed.
Answer: Both move with constant speed.
Answer:
C
Explanation:
Yes it is C
I need help with 6 and 7
Explanation:
6. Force = mass × acceleration
F = m Δv / Δt
F = (0.155 kg) (50.0 m/s − (-44.0 m/s)) / (0.00450 s)
F = 3240 N
7. Force = mass × acceleration
F = m Δv / Δt
75 N = (180 kg) (2.0 m/s − 0 m/s) / Δt
Δt = 4.8 s
Use the drop-down menus to identify the type of energy each phrase describes.
The shortest wavelength of visible light = D
Energy that can be felt as heat but not seen = B
Short, invisible rays that can cause eye damage = C
Visible light with the longest wavelength = A
ANSWERS HERE
The shortest wavelength of visible light = violet light
Energy that can be felt as heat but not seen = infrared
Short, invisible rays that can cause eye damage = ultraviolet
Visible light with the longest wavelength = red light
Explanation:
Electromagnetic waves are waves consisting of oscillations of the electric and the magnetic field, occurring in a plane perpendicular to the direction of motion the wave.
They are the only type of waves able to travel without a medium, and they are transverse in nature.
All electromagnetic waves travel in a vacuum at the speed of light, which value is:
[tex]c=3.0\cdot 10^8 m/s[/tex]
Electromagnetic waves are classified into 7 different classes, depending on their wavelength/frequency, and they have different properties. From shortest to longest wavelength (and from highest to lowest frequency), they are:
Gamma rays
X rays
Ultraviolet
Visible light
Infrared radiation
Microwaves
Radio waves
Moreover, the visible light of the spectrum is further divided into different colors, according to how our eye perceive them; from shortest to longest wavelength:
violet
blue
green
yellow
orange
red
Therefore, we have:
The shortest wavelength of visible light is violet light, which has wavelength between 380 and 450 nmThe longest wavelength of visible light is red light, which has wavelenght between 620 and 750 nmInfrared radiation is a type of radiation that is felt as heat by our body, however it cannot be seen because it falls outside the spectrum of visible lightUltraviolet radiation is also invisible to human eye; it has shorter wavelength than visible light and therefore it has more frequency (and more energy), therefore it can cause damage, especially to the eyeLearn more about electromagnetic waves:
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The types of energy described are associated with specific wavelengths and frequencies in the electromagnetic spectrum, where violet is the shortest visible wavelength, infrared is felt as heat, ultraviolet rays can cause eye damage, and red has the longest visible wavelength.
Explanation:The question pertains to the electromagnetic spectrum and types of energy associated with different wavelengths and frequencies of light.
The shortest wavelength of visible light is violet, hence D = Violet.Energy that can be felt as heat but not seen is infrared, so B = Infrared.Short, invisible rays that can cause eye damage refer to ultraviolet rays, therefore C = Ultraviolet.Visible light with the longest wavelength is red, thus A = Red.These energy types represent various parts of the electromagnetic spectrum, with red light having the longest wavelength and least energy, and violet having the shortest wavelength and most energy. Infrared is typically experienced as heat, while ultraviolet rays, shorter still than violet, carry enough energy to potentially cause harm to biological tissues, like eye damage.
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True or False?
The long term dangers of a volcanic eruption are the ash that remains in the
atmosphere for years after the eruption which block the solar energy causing a
increase in global temperatures.
The correct answer is; False.
Further Explanation:
Ash does not remain in the atmosphere for years after an eruption. It only takes a few days or at the most a few weeks for all of the ash to leave the atmosphere. It has little impact on the climate or global temperatures.
When a volcano erupts there are three things that the volcano puts out, they are;
AshLavaSulfur dioxide (SO2)The one thing that does have an effect on the global temperatures of an eruption is the volcanic aerosols. These aerosols, when released, reflect the solar radiation back to space.
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In the following reaction, 24 g of CH4 react with 96 g of Oz to form 66 g of CO2
How many grams of H2O are formed? CH4 + 202 → CO2 + 2H2O
Answer:
54 g
Explanation:
Mass is conserved. Mass of reactants = mass of products.
24 g + 96 g = 66 g + x
x = 54 g
The __________ perspective focuses on measuring the amount of intelligence a person has by using intelligence tests. A. cognitive B. intelligence C. testing D. creative
The testing perspective centers on measuring intelligence with tests, specifically analytical intelligence when examining data trends. Creative is not one of Gardner's Multiple Intelligences, and IQ tests' validity is contested due to potential bias.
Explanation:The correct answer to the student's question is the testing perspective, which focuses on measuring the amount of intelligence a person has by using intelligence tests.
When examining data for trends, the type of intelligence primarily used is analytical intelligence. Analytical intelligence is the ability to analyze, evaluate, judge, or compare and contrast information.
Among Gardner's Multiple Intelligences, creative is not one of the identified categories; instead, Gardner's intelligences include modalities such as spatial, linguistic, and musical intelligences.
Intelligence can be a broad concept and varies from person to person. Practical intelligence, or street smarts, is related to real-world problem-solving and can be distinct from what traditional IQ tests measure. The IQ test attempts to measure intelligence but has been subject to debate regarding its validity and the scope of abilities it assesses.
Conflict theorists argue that IQ tests may be biased because they may not give children with learning disabilities a fair chance to demonstrate their true intelligence, thereby limiting the understanding of each individual's unique capabilities.
Final answer:
The testing perspective focuses on measuring intelligence with intelligence tests, specifically referred to as the 'testing' perspective. This falls under the study of cognitive psychology, which examines human thinking and the various aspects of intelligence, including analytical ability and the debate over the validity of IQ tests. So the correct option is C.
Explanation:
The testing perspective focuses on measuring the amount of intelligence a person has by using intelligence tests. The correct answer is C. Testing. This relates to the domain of psychology where the quantification of human intelligence is often conducted through various assessments that aim to gauge different abilities in the areas of problem-solving, reasoning, memory, and other cognitive functions.
When it comes to examining data to identify trends, the type of intelligence predominantly used is analytical intelligence. Analytical intelligence refers to the ability to analyze, evaluate, judge, compare, and contrast information. In Howard Gardner's Multiple Intelligences theory, creative intelligence, while important for some types of problem-solving and innovation, is not listed as one of Gardner’s Multiple Intelligences. His theory includes types of intelligence such as spatial, linguistic, and musical, among others.
Cognitive psychology is the branch that focuses on human thinking. Questions around what intelligence is, how it varies from person to person, and whether or not 'street smarts' are a kind of intelligence, all fall under the study of cognitive psychology. Intelligence Quotient (IQ) tests aim to measure intellectual capabilities, but their validity and the extent to which they truly capture an individual's varied intelligence is a topic of ongoing debate.
A police car is traveling at a speed of 50 meters per second when it suddenly accelerates at a rate of 5 m/s2. How fast will the car be going (final velocity) if it maintains that acceleration for 30 seconds
Using the equation v = u + at, the final velocity of the police car after maintaining an acceleration of 5 m/s^2 for 30 seconds is found to be 200 meters per second.
Explanation:To determine the final velocity of a police car that accelerates from a given speed, we can use the formula for final velocity, which is derived from the equations of motion under constant acceleration. The formula we will use is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
In this case, the initial velocity u is 50 meters per second, the acceleration a is 5 m/s2, and the time t is 30 seconds. Plugging these values into the formula:
v = 50 m/s + (5 m/s2 × 30 s)
Calculating this, we get:
v = 50 m/s + 150 m/s = 200 m/s
Therefore, the final velocity of the police car after maintaining the acceleration for 30 seconds will be 200 meters per second.
Why does carpet tend to produce differences in static electricity more that hardwood or tile floors
Carpet tends to produce differences in static electricity more than that of hardwood or tile floors because there's a release of negative charges which are called electrons to the person's body.
Static charge refers to the imbalance of electric charges that can be found on the surface of a material. When there's a contact between two surfaces, this creates a static electric charge.Also, it should be noted that a static charge is caused by friction. The reason why the charge is called static is due to the fact that the charges don't move or flow about but rather remain in one area.Carpet tends to produce differences in static electricity more than that of hardwood or tile floors because the rubbing helps in releasing negative charges which are called electrons.In such a case, when an individual shuffle their feet across a carpet, there will be a transfer of electrons unto the person and this then brings a static charge on the skin of the person.
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BRAINLIST | Why are there some areas of the country where wind power is not the best option?
Answer:
In contrast, wind turbines produce no greenhouse gases when generating electricity. We should note that both noise and visual pollution are environmental disadvantages of wind turbines. However, these factors don't have a negative impact on the earth, water table or the quality of the air we breathe.
What is something that is 0.5mm.
Answer:
An eraser top.
Explanation:
it is small enough to fit into that category
Answer: mechanical pencils
Explanation:
which of these would NOT decrease force on impact when falling object hits the ground ?
Answer:
An Anvil?
Explanation:
I cant answer the question properly mate, ill edit this answer to the correct one if you add details
Our solar system belongs to the Milky Way galaxy. Which of the following terms describes the Milky Way’s classification? A. spherical galaxy B. spiral galaxy C. irregular galaxy D. elliptical galaxy
Answer:
The answer you're looking for is B.
In polar view of the Milky Way, you can see the spiral arms and the dense collection of stars that make up core of the galaxy. The entire galaxy is rotating in a clockwise direction. As to classification, the Milky Way is a SBc barred spiral galaxy. And that red dot above the Orion Arm is the location of the Solar System.
Our solar system belongs to the Milky Way galaxy and the Milky Way galaxy is classified as a spiral galaxy. The correct option is B.
What is a galaxy?A galaxy is a vast, gravitationally bound system of stars, interstellar gas, dust, and dark matter. Galaxies can range in size from dwarf galaxies with just a few million stars to giant galaxies with hundreds of billions of stars.
Galaxies come in a variety of shapes and sizes, including spiral galaxies, elliptical galaxies, and irregular galaxies.
Spiral galaxies, such as our own Milky Way, have a flat, rotating disk with spiral arms and a central bulge.
Elliptical galaxies are more rounded and typically have fewer young stars and more old stars.
Irregular galaxies have irregular shapes and can be the result of interactions or mergers between galaxies.
Galaxies are the basic building blocks of the universe, and the study of galaxies and their properties is a fundamental part of astronomy and astrophysics. By studying the properties of galaxies, scientists can learn about the structure and evolution of the universe, as well as the nature of dark matter and dark energy.
Here in the question,
The Milky Way galaxy is a large, barred spiral galaxy that is estimated to contain between 100 and 400 billion stars, as well as a variety of other celestial objects. It is estimated to have a diameter of around 100,000 light-years and a thickness of around 1,000 light-years.
The Milky Way galaxy contains a number of distinct components, including a central bulge, a disk of gas and dust where most of the star formation occurs, and a halo that surrounds the galaxy and contains old stars and globular clusters. The galaxy also contains a number of smaller satellite galaxies, including the Large and Small Magellanic Clouds.
In addition to stars, the Milky Way contains a variety of other celestial objects, including planets, asteroids, comets, and interstellar gas and dust. It is also believed to contain a significant amount of dark matter, which is thought to make up approximately 85% of the total mass of the galaxy.
Therefore, The Milky Way galaxy is classified as a spiral galaxy.
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If you drop a 5kg rock down a 20 m well, how fast will it be traveling when it hits the ground
The final speed of the rock is 19.8 m/s
Explanation:
We can solve this problem by using the law of conservation of energy: the total mechanical energy of the rock (the sum of potential energy + kinetic energy) must be conserved during the fall. Therefore we can write:
[tex]U_i +K_i = U_f + K_f[/tex]
where :
[tex]U_i[/tex] is the initial potential energy, at the top
[tex]K_i[/tex] is the initial kinetic energy, at the top
[tex]U_f[/tex] is the final potential energy, at the bottom
[tex]K_f[/tex] is the final kinetic energy, at the bottom
We can rewrite the equation as:
[tex]mgh_i + \frac{1}{2}mu^2 = mgh_f + \frac{1}{2}mv^2[/tex]
where:
m = 5 kg is the mass of the rock
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
[tex]h_i = 20 m[/tex] is the initial height of the rock
u = 0 is the initial speed
[tex]h_f = 0[/tex] since the rock falls to the ground
v is the final speed
And solving for v, we find the final speed:
[tex]v=\sqrt{2gh_i}=\sqrt{2(9.8)(20)}=19.8 m/s[/tex]
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Need an explanation please. Brainliest will be awarded.
We're adding two vectors here. The first is 300 Newtons to the right, which we can write as (300, 0), meaning 300 to the right, 0 up.
The second is 300 at let's say a 45 degree angle down. For the components we have an isosceles right triangle with hypotenuse 300, so the components are both magnitude 300/√2 = 150√2. So we can write this vector (150√2, -150√2), the negative sign because it points down in the y direction.
Adding is componentwise. The resulting force is (300+150√2, -150√2).
That has square magnitude
r² = (300+150√2)² + (-150√2)² = 150² ( (2+√2)² + (√2)² )
= 150²( (6 + 4√2) + 2)
= 300²(2+√2)
so
r = 300 √(2+√2) Newtons
That's the answer; I'm not sure if your class expects a calculator approximation, which is 554.3 Newtons.
MARKING BRAINLIST | Which situation below would have the STRONGEST gravitational force between them?
a.) A 10 kg mass and a 2 kg mass at 30 km apart
b.) A 10 kg mass and a 10 kg mass at 30 km apart
c.) A 2 kg mass and a 2 kg mass at 10 km apart
d.) A 10 kg mass and a 10 kg mass at 10 km apart
Case d) has the strongest gravitational force
Explanation:
The magnitude of the gravitational force between two objects is given by the equation:
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where :
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between the objects
a) For this pair of objects:
m1 = 10 kg
m2 = 2 kg
r = 30 km = 30,000 m
So the gravitational force is
[tex]F=(6.67\cdot 10^{-11})\frac{(10)(2)}{30000^2}=1.48\cdot 10^{-18}N[/tex]
b) For this pair of objects:
m1 = 10 kg
m2 = 10 kg
r = 30 km = 30,000 m
So the gravitational force is
[tex]F=(6.67\cdot 10^{-11})\frac{(10)(10)}{30000^2}=7.41\cdot 10^{-18}N[/tex]
c) For this pair of objects:
m1 = 2 kg
m2 = 2 kg
r = 10 km = 10,000 m
So the gravitational force is
[tex]F=(6.67\cdot 10^{-11})\frac{(2)(2)}{10000^2}=1.33\cdot 10^{-17}N[/tex]
d) For this pair of objects:
m1 = 10 kg
m2 = 10 kg
r = 10 km = 10,000 m
So the gravitational force is
[tex]F=(6.67\cdot 10^{-11})\frac{(10)(10)}{10000^2}=6.67\cdot 10^{-17}N[/tex]
Therefore, the strongest gravitational force is in case d).
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suppose a scientific team is trying to recreate the energy producing reactions that occur in the sun. what would they need for the experiments?
For energy producing reactions they need Hydrogen atoms, heat, and pressure for the experiments.
Explanation:
The initial step of the Hydrogen combination process: a core of Deuterium (2H) is shaped from two protons with the discharge of an antielectron and a neutrino. In the fundamental Hydrogen combination cycle, four Hydrogen cores (protons) meet up to make a Helium core.
An atomic combination response is characterized as the response wherein at least two lighter cores consolidate together to shape heavier cores with the arrival of high measures of vitality.
Combination can possibly give the sort of baseload vitality expected to give power to our urban communities and our enterprises. Maintainability: Fusion powers are generally accessible and almost limitless.
A regulation basketball has a 47 cm diameter and may be approximated as a thin spherical shell.
How long will it take a basketball starting
from rest to roll without slipping 3.5 m down
an incline that makes an angle of 80.6◦ with
the horizontal? The acceleration of gravity is 9.81m/s^2
Answer in units of s.
To find how long it takes for a basketball to roll down a 3.5m incline at an angle of 80.6°, calculate the component of gravitational acceleration along the incline and use the kinematic equation for motion. The basketball takes approximately 0.85 seconds to roll down the incline.
Explanation:The question deals with the motion of a basketball rolling down an incline. The key to solving this problem is to use the concepts of rotational motion together with Newton's laws of motion. Given the incline angle is 80.6° to the horizontal and the acceleration due to gravity is 9.81 m/s2, we can determine the component of gravitational acceleration that acts along the slope. This component is g sin(θ), with θ representing the angle, which causes the acceleration of the ball down the slope.
Since the basketball is a spherical shell it has a moment of inertia I = 2/3 m r2, where m is the mass and r is the radius of the sphere. However, without the mass of the basketball, we'll approach this by determining the translational acceleration a = g sin(θ), using the formula for the acceleration of an object down an incline. Knowing the distance (s = 3.5 m) it rolls without slipping, and starting from rest, we can use the kinematic equation s = 1/2 a t2 to solve for t, the time taken.
Calculating the acceleration component: a = 9.81 * sin(80.6°) = 9.67 m/s2. Then, we use the equation 3.5 = 1/2 * 9.67 * t2 to find t. Solving for t yields approximately 0.85 seconds.
Using rotational and translational motion principles, the basketball takes approximately 0.85 seconds to roll without slipping down the 80.6-degree incline.
To determine the time it takes for the basketball to roll without slipping down the incline, consider both rotational and translational motion.
Step 1: Calculate the effective radius of the basketball on the incline:
R_eff = (D/2) * sin(theta), given the diameter D of the basketball (47 cm) and the incline angle (theta) of 80.6 degrees.
Step 2: Calculate the linear acceleration down the incline:
a = g * sin(theta), given the acceleration due to gravity (g) as 9.81 m/s².
Step 3: Use the kinematic equation for linear motion to find the time (t):
t = sqrt(2h/a), given the height (h) the basketball descends down the incline is 3.5 m.
Step 4: Substitute the values into the equation and solve for t:
R_eff = (0.47/2) * sin(80.6 degrees) ≈ 0.235 m,
a = 9.81 * sin(80.6 degrees) ≈ 9.7 m/s²,
t = sqrt(2 * 3.5 / 9.7) ≈ sqrt(7 / 9.7) ≈ sqrt(0.7216) ≈ 0.85 s.
So, it will take approximately 0.85 seconds for the basketball to roll without slipping down the incline.
Explain the importance of wearing your seatbelt using Newton’s laws and motion
Explanation:
Newton's first law of motion states: "an object in motion stays in motion, and an object at rest stays at rest, until acted upon by an unbalanced force."
When you're riding in a vehicle, your body is moving forward. When the vehicle slows or turns, your body's inertia continues to move you forward. The seatbelt is the unbalanced force that pushes you back into your seat. Without it, you would slide off your seat.
Since there is a tendency for motion to continue in accordance to Newtons laws, a passenger that is not wearing a seat belt may be pushed out of the windscreen.
According to Newtons laws of motion, a body will continue in its state of rest or uniform motion unless it is acted upon by an external, unbalanced force. This means that force is the reason why motion starts or uniform motion is changed.
If a car is suddenly applies its brakes, the uniform motion of the car is disturbed and there is a tendency for the motion to continue according to Newtons first law hence the passengers moves forward. This is the reason why wearing a seat belt is important. The seat belt protects the passengers from being pushed out of the windscreen.
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A 2 kg watermelon is dropped from a 4 m tall roof. How fast will the watermelon be moving as it strikes the ground below?
Answer:
8.85m/s
Explanation:
v=√2gh
v=√2×9.8×4
v=8.85m/s
The watermelon be moving as it strikes the ground below 8.85m/s.
Potential energy is the energy possessed by a body because of its position relative to other bodies.Gravitational potential energy is the energy held by a body when it is at some height relative to the zero potential level ground.The formula that is used to find the velocity in this case is:
[tex]v=\sqrt{2gh} \\\\v=\sqrt{2*9.8*4}\\\\v=8.85m/s[/tex]
Thus, the velocity will be 8.85 m/s.
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a 7.0kg bowling ball traveling at 2.0 m/s collides with a stationary 0.5 kg beach ball in an elastic collision. The bowling ball leaves the collision with a velocity of 1.5 m/s traveling in the same direction as the beach ball.
calculate the speed of the beach ball
Answer: The speed of the beach ball would be 2.0 m/s
Explanation:
Answer:
2.0 m/s
Explanation: