Answer:
190 m/s
Explanation:
For the plane to stay in the air, the lift force must equal the weight.
The lift force is also equal to the pressure difference across the wings (pressure at the bottom minus pressure at the top) times the area of the wings.
Therefore:
mg = (P₂ − P₁) A
P₂ − P₁ = mg / A
Using Bernoulli equation:
P₁ + ½ ρ v₁² + ρgh₁ = P₂ + ½ ρ v₂² + ρgh₂
P₁ + ½ ρ v₁² = P₂ + ½ ρ v₂²
½ ρ (v₁² − v₂²) = P₂ − P₁
½ ρ (v₁² − v₂²) = mg / A
v₁² − v₂² = 2mg / (Aρ)
v₁² = v₂² + 2mg / (Aρ)
Substituting values (assuming air density of 1.225 kg/m³):
v₁² = (100 m/s)² + 2 (2×10⁶ kg) (9.8 m/s²) / (1200 m² × 1.225 kg/m³)
v₁² = 36,666.67 m²/s²
v₁ = 191 m/s
Rounding to two significant figures, the air must move at 190 m/s over the top of the wing.
To keep the plane in the air, the air flowing over the upper surface of the wings must be faster than the air flowing past the lower surface. This is due to Bernoulli's principle, which states that as the speed of a fluid increases, its pressure decreases. We can use the equation v₂ = sqrt(v₁² + 2(P₁ - P₂)/ρ) to calculate the speed of the air over the upper surface of the wing.
Explanation:To keep the plane in the air, the air flowing over the upper surface of the wings must be faster than the air flowing past the lower surface. This is due to Bernoulli's principle, which states that as the speed of a fluid increases, its pressure decreases. The difference in pressure between the upper and lower surfaces of the wing creates lift.
To calculate the speed of the air over the upper surface of the wing, we can use the equation:
P₁ + ½ρv₁² = P₂ + ½ρv₂²
P₁ is the pressure below the wing, P₂ is the pressure above the wing, ρ is the density of the air, v₁ is the speed of the air below the wing, and v₂ is the speed of the air above the wing.
We can rearrange the equation to solve for v₂:
v₂ = sqrt(v₁² + 2(P₁ - P₂)/ρ)
Plugging in the given values, we get:
v₂ = sqrt(100² + 2(0 - P₂)/(1.2))
Since we don't have the specific values for P₁ and P₂, we cannot calculate the exact speed of the air over the upper surface of the wing. However, we can determine that it must be greater than 100 m/s in order for the plane to stay in the air.
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Two curling stones collide on an ice rink. Stone 1 has a mass of 16 kg
and an initial velocity of 1.5 m/s to the north. Stone 2 was at rest
initially. The stones collide dead center, giving stone 2 a final velocity
of 0.69 m/s to the north.
Final Answer:
a. The mass of stone 2 is 24 kg. b. The final velocity of stone 1 is 0.82 m/s to the north.
Explanation:
We can solve this problem using the principle of conservation of momentum and the principle of conservation of kinetic energy for elastic collisions.
1. Conservation of momentum:
Before collision: [tex]\( m_1 v_{1i} + m_2 v_{2i} = m_1 v_{1f} + m_2 v_{2f} \)[/tex]
After collision: [tex]\( m_1 v_{1f} + m_2 v_{2f} \)[/tex]
2. Conservation of kinetic energy:
Before collision: [tex]\( \frac{1}{2} m_1 v_{1i}^2 + \frac{1}{2} m_2 v_{2i}^2 = \frac{1}{2} m_1 v_{1f}^2 + \frac{1}{2} m_2 v_{2f}^2 \)[/tex]
Using the given values and the fact that stone 2 was initially at rest [tex](\( v_{2i} = 0 \))[/tex], we can solve for the mass of stone 2 (part a) and the final velocity of stone 1 (part b).
a. Solving for the mass of stone 2:
From the conservation of momentum equation, we have:
[tex]\( m_1 v_{1i} = m_1 v_{1f} + m_2 v_{2f} \)[/tex]
Substituting the given values and solving for [tex]\( m_2 \)[/tex], we find [tex]\( m_2 = 24 \, \text{kg} \)[/tex].
b. Solving for the final velocity of stone 1:
From the conservation of kinetic energy equation, we have:
[tex]\( \frac{1}{2} m_1 v_{1i}^2 = \frac{1}{2} m_1 v_{1f}^2 + \frac{1}{2} m_2 v_{2f}^2 \)[/tex]
Substituting the given values and the calculated mass of stone 2, we can solve for [tex]\( v_{1f} \)[/tex], which is approximately [tex]\( 0.82 \, \text{m/s} \)[/tex].
Therefore, the mass of stone 2 is 24 kg and the final velocity of stone 1 is 0.82 m/s to the north.
The mass of stone 2 and the final velocity of stone 1, obtained using the law of conservation of momentum and the law of conservation of energy are;
Mass of stone 2, m₂ ≈ 53.56
The final velocity of stone 1, v₁' ≈ 0.81 m/s south
The steps used to find the above values are as follows;
The mass of stone 1, m₁ = 16 kg
Initial velocity of stone 1, v₁ = 1.5 m/s
Mass of stone 2, m₂; Required
The law of conservation of linear momentum indicates that we get;
m₁·v₂ + m₂·v₂ = m₁·v₁' + m₂·v₂'
The law of conservation of energy indicates that we get;
m₁·v₁²/2 + m₂·v₂²/2 = m₁·v'₁²/2 + m₂·v'₂²/2
Therefore;
16 × 1.5 = 16·v₁' + 0.69·m₂
24 = 16·v₁' + 0.69·m₂,,,(1)
16 × 1.5²/2 = 16 × v'₁²/2 + m₂·0.69²/2
18 = 8·v'₁² + 0.23805·m₂...(2)
Equation (1) indicates that we get;
v₁' = (24 - 0.69·m₂)/16
Therefore;
18 = 8·v'₁² + 0.23805·m₂
18 = 8·((24 - 0.69·m₂)/16)² + 0.23805·m₂
18 = -0.01488·m₂² + 0.79695·m₂ + 18
-0.01488·m₂² + 0.79695·m₂ = 0
0.79695/0.01488
m₂ = 0 and m₂ ≈ 53.56
v₁' = (24 - 0.69·m₂)/16, therefore;
v₁' = (24 - 0.69 × 54.)/16
(24 - 0.69 × 53.56)/16 ≈ -0.81
The final velocity of ball 1 is v₁² ≈ 0.81 m/s so the south
The complete question obtained from a similar question found through search is as follows;
Two curling stones collide on an ice ringk.Stone 1 has a mass of 16 kg and an initial velocity of 1.5 m/s to the north. Stone 2 was at rest initially. The stones collide dead center giving stone 2 a final velocity of 0.69 m/s to the north. Find the mass of stone 2 and the final velocity of stone 1
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.
What determines if an object will float or sink in a fluid?
A. Size
B. Mass
c. Weight
D. Density
Compounds are created when atoms of different elements _____. form physical bonds have different chemical properties form chemical bonds have similar chemical properties
Compounds are created when atoms of different elements form chemical bonds. The chemical bond is a result of atoms sharing or exchanging electrons to fulfill the Octet Rule for stability. An example is water, where oxygen and hydrogen atoms bond together.
Explanation:Compounds are created when atoms of different elements form chemical bonds. Chemical bonds are formed when atoms share, donate (lose), or accept (gain) electrons. This happens in order to fulfill the 'Octet Rule', which states that atoms are most stable when their outermost (valence) electron shell is full, typically with eight electrons except a few exceptions.
For example, in the formation of water (H2O), one oxygen atom forms a chemical bond with two hydrogen atoms. The oxygen atom achieves a stable electron configuration by sharing electrons with hydrogen atoms, which also reach a stable state.
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Compounds are created when atoms of different elements form chemical bonds during chemical reactions, leading to the formation of substances with unique properties.
Compounds are created when atoms of different elements form chemical bonds. Atoms combine to form molecules because they experience an attractive force that results in chemical bonds. There are various types of chemical bonds, such as polar covalent bond, hydrogen bond, non-polar covalent bond, and ionic bond. Chemical reactions facilitate the formation of compounds, where the initial substances reorganize their atomic arrangements, breaking existing bonds and forming new ones to create substances with unique properties.
A compound consists of atoms of two or more elements combined in a fixed, small whole-number ratio. For example, water consists of hydrogen and oxygen in a 2:1 ratio, represented by the empirical formula H2O, and table salt is made up of sodium and chlorine in a 1:1 ratio, represented by the empirical formula NaCl.
It is important to understand that compounds have their own unique chemical and physical properties—different from those of the elements that form them. The atoms in a compound are not created or destroyed during a chemical reaction, but are rearranged, resulting in a substance that is different from the original reactants.
An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the right.
The displacement of the object is
Answer: B. 5
Explanation: the right of 0 on a horizontal number line is positive, and then to the left to 0, is negative. So, 3 units to the right is 3, and then 4 units to the left (3 - 4 = -1), then, 6 units to the right (-1 + 6 = 5).
Hope this helped. :)
Which magnesium ion is represented in the model?
What is one way to make a positive impact on air quality
to reduce air pollution?
Moving to a large city
using public transportation
planting crops in terraces
releasing gases into the air
Answer:
B
Explanation:
edge 2020
One way to make a positive impact on air quality to reduce air pollution is using public transportation which will reduce air pollution.
What is air quality?Air quality index is used by government agencies to communicate to the public how polluted the air currently is or how polluted it is forecast to become.
Limited number of diesel cars can be used to improve air quality because there will be limited number of cars to cause air pollution.
Thus, one way to make a positive impact on air quality to reduce air pollution is using public transportation which will reduce air pollution.
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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.
.
has
p(x) = 2x3 – 3x2-mx-6
1. The polynomial function has x-2
as one of its factors. What is the value of m?
The value of m = - 1.
Explanation:
An expression which contains two or more algebraic terms is called the polynomial. It is made up of two terms namely Poly and Nominal meaning many terms.
P(x) = 2x^3 - 3x^2 - mx - 6
x - 2 is one of the factor of the polynomial.
So x - 2 = 0
x = 2
Substituting the value of x,
P(2) = 2(2)^3 - 3(2)^2 - m(2) - 6
2(8) - 3(4) - m(2) - 6 = 0
16 - 12 - 2m - 6 = 0
- 2 - 2m = 0
- 2m = 2
m = - 1
Engineers have determined that the maximum safe speed around a
particular non-banked curve is 20 m/s. If the coefficient of friction
between the tires and the road is 0.703, what is the radius of the curve?
Answer:
58.1 m
Explanation:
Draw a free body diagram of the vehicle. There are three forces: normal force N pushing up, weight force mg pulling down, and friction force Nμ pushing towards the center of the circle.
Sum of forces in the y direction:
∑F = ma
N − mg = 0
N = mg
Sum of forces in the radial direction:
∑F = ma
Nμ = m v² / r
Substitute and solve for r:
mgμ = m v² / r
gμ = v² / r
r = v² / (gμ)
Plug in values:
r = (20 m/s)² / (9.8 m/s² × 0.703)
r = 58.1 m
Final answer:
The radius of the curve is approximately 129.9 meters.
Explanation:
In order to calculate the radius of the curve, we can use the formula for centripetal force:
Fc = μmg
Where Fc is the centripetal force, μm is the coefficient of friction, m is the mass of the vehicle, and g is the acceleration due to gravity.
Since the maximum safe speed is given as 20 m/s, we can calculate the maximum centripetal force using the equation:
Fc = mV2/R
Where V is the velocity and R is the radius.
Equating these two expressions for centripetal force, we get:
mV2/R = μmg
Substituting the given values, we have:
(20)2/R = (0.703)(9.8)
Simplifying, we find:
R = (20)2/((0.703)(9.8))
R ≈ 129.9
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
liquid helium has a temperature of 4k what is the temperature on celsius and fahrenheit?
Answer:
a.—269°C
b. —452.2°F
Explanation:Please see attachment for explanation
Zeta runs across a football field that is close to 100 meters long in 35 seconds . What is her speed?
Answer:
2.86 m/s
Explanation:
Speed= distance/time
speed= 100m / 35s
100/35= 2.86 (simplified)
2.86m/s= 100m / 35s
Zeta's speed is 2.86 m/s.
To determine Zeta's speed, we need to use the formula for speed:
Speed = Distance / Time
In this case, Zeta runs across a football field that is close to 100 meters long in 35 seconds. Therefore, the speed calculation will be:
Speed = 100 meters / 35 seconds = 2.86 meters per second (m/s)
Therefore, Zeta's speed is approximately 2.86 m/s.
Scientists track _________________ to be able to predict geomagnetic storms and technological disturbances on Earth
A. sunspots and solar storms
B. coronal hot spots & magnetic flares
C. photospheric emissions
Answer:
A
Explanation:
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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What is the electromagnetic spectrum and how is it used to gather information about
components in the universe?
Final answer:
The electromagnetic spectrum is a range of all types of electromagnetic radiation used by astronomers to gather detailed information about the universe's components. Different wavelengths carry distinct information, and observing in various electromagnetic bands yields a fuller understanding of celestial objects.
Explanation:
Understanding the Electromagnetic Spectrum
The electromagnetic spectrum is a continuous range of wavelengths that encompasses all forms of electromagnetic radiation, from the longest radio waves to the shortest gamma rays. This spectrum includes visible light, which is only a small portion of the entire range. Each category of radiation within the spectrum carries unique information that can be used to study various components in the universe.
How Astronomers Use the Electromagnetic Spectrum
Astronomers harness different wavelengths of light from the electromagnetic spectrum to extract valuable data about astronomical objects, such as the nature of stars and other celestial bodies. This is done by analyzing the amounts of energy received at different wavelengths. Not only does this hold true for visible light, but radio waves, infrared, ultraviolet, X-rays, and gamma-rays are also extensively used to gather information. Observing the universe in different bands of the electromagnetic spectrum provides a more complete and complex understanding of its components.
Observations at varying wavelengths can yield diverse information about celestial objects, such as the chemical composition, temperature, and motion of stars and galaxies. The different types of light can reveal phenomena that are not detectable in visible light alone, thereby offering a more holistic view of the cosmos.
- Even tough she is way ahead of you, Sally switches her car to run on nitrous oxide
fuel. The nitrous oxide allows her car to develop 10,000 N of force. What is Sally's
acceleration if her car has a mass of 500 kg?
F=
m=
a=
The nitrous oxide allows her car to develop 10,000 N of force. Sally's acceleration if her car has a mass of 500 kg are M=500kg, F=10000N, A=2000
what is acceleration ?Acceleration is the rate of change in velocity with response to time, it is a vector quantity which is associated with both magnitude and direction.
It is the second derivative of position with response to time or it is the first derivative with respect to time; The SI unit of acceleration is represented as, m/s2.
Two types of Acceleration can be observed such as Uniform and Non-uniform acceleration, in a circle where speed remains constant but the change in direction followed by velocity changes, and the body is said to be accelerated.
The average acceleration is the total change in velocity in the given interval period of time means the total time taken for the change. For a given interval of time, it is represented as ā.
Instantaneous acceleration type is referred to the ratio of change in velocity in a given time interval such that the time interval goes to zero.
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An automobile uses a braking force of 15000N to bring it to rest in 1.4s The mass of the automobile is 800kg. what is the impulse
The impulse on the car is -21,000 kg m/s
Explanation:
The impulse exerted on an object is the product between the force exerted on it and the time interval during which the force is applied:
[tex]I=F\Delta t[/tex]
where
I is the impulse
F is the force applied
[tex]\Delta t[/tex] is the time interval
For the car in this problem, we have
F = -15,000 N (the negative sign indicates that the direction of the force is opposite to the direction of motion)
[tex]\Delta t = 1.4 s[/tex] is the time interval
Therefore, the impulse on the car is
[tex]I=(-15000)(1.4)=-21,000 kg m/s[/tex]
And the negative sign indicates that the direction of the impulse is opposite to the direction of motion.
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What is the energy equivalent of an object with a mass of 4.1 kg?
1.2 x 109 J
1.4 x 1035 J
3.5 1018 J
3.7×1017 J
Answer:
The energy equivalent of an object with a mass of 4.1 kg is 3.7 ×[tex]10^{17}[/tex] J.
Explanation:
One of the significant findings of Einstein is the mass energy equivalence. According to this law, the energy is equivalent to the product of mass and square of velocity of light.
Thus, the equation became E = m[tex]c^{2}[/tex]
As here ,the mass is given as 4.1 kg and c is known as 3×[tex]10^{8}[/tex] m/s, then the energy equivalence of this object will be
E = 4.1 × 3 × 3 ×[tex]10^{16}[/tex] J = 4.1 × 9 × [tex]10^{16}[/tex]J = 36.9×[tex]10^{16}[/tex] J= 3.7 ×[tex]10^{17}[/tex] J.
Thus, the energy equivalence of object with mass of 4.1 kg is 3.7 ×[tex]10^{`17}[/tex] J.
Answer:
D
Explanation:
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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how long must a current of 100mA flow so as to transfer a charge of 80 C?
Answer:
800s
Explanation:
Q=It
where,
Q=80c
I =100MA=0.1A
t=?
Q=It
800=0.1×t
t=80×0.1
t=800s
Answer:
800 secs
Explanation:
Q = it
80 = 100 x10^-3 t
t = 80/0.1
= 800secs
Which of Newton's Three Laws Applies? Law 1, 2, or 3?
Pushing a cart down the hall, when you try to turn it it tries
to go straight.
More acceleration takes more force.
When you push your knuckles into a table, it hurts your knuckles.
A ball thrown into the ground bounces back up.
Answer:
1. Newton's first law
2.Newton's second law
3.Newton's third law
Explanation:
1. Newton's first law stated, In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force... this is base of the concept of inertia.
2. Newton's second law stated, In an inertial frame of reference, the vector sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration a of the object: F = ma, or in easier words, F is directly proportional to a.
3. Newton's third law stated, When one body exerts a force on a second body, the second body simultaneously exerts a force equal in magnitude and opposite in direction on the first body., In this case, the Normal Are opposite with gravititional force.
The question is about applying Newton's Three Laws in different scenarios.
Explanation:The subject of this question is Physics and the grade level is High School. Let's analyze each statement to identify which of Newton's laws applies:
The first statement describes the concept of inertia, which is explained by Newton's First Law. When you try to turn the cart, it resists the change in motion and tries to go straight.The second statement relates to Newton's Second Law, which states that acceleration is directly proportional to the force applied. Therefore, more acceleration requires more force.The third statement is an example of Newton's Third Law. When you push your knuckles into a table, the table exerts an equal and opposite force, causing discomfort.The fourth statement is related to Newton's Third Law as well. When the ball hits the ground, the ground exerts an upward force, causing the ball to bounce back up.Learn more about Newton's Three Laws here:https://brainly.com/question/32539676
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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.
Motion is a change in ____.
Motion is a change in position.
Explanation:If one object A changes its position with reference to an object B positioned at a fixed place (Reference point), Object A is said to be in motion. This change in position is caused due to different parameters.
The rate at which an object changes its position is termed as speed. Velocity is a vector quantity that measures both the speed of the object and its direction. Acceleration is the rate of change in velocity. Distance is the total path-length of the object performing motion. Displacement is the shortest distance between two points of motion path ( the difference between final position and initial position) and it is a vector quantity. If an object changes its position, it is said to be in motion.
Motion in physics is defined as the change in position of an object with respect to its surroundings in a given period of time. Therefore, when a vehicle moves down a street or a person walks across a room, they are exhibiting motion by changing position.
Explanation:Motion refers to a change in position of an object with respect to its surroundings in a given period of time. The concept of motion is fundamental in physics and is part of the wider study of physical science. A simple example of motion would an object changing its physical location from point A to point B, thus altering its position.
For instance, if you observe a car moving down the street, you can see that the car's position relative to structures such as buildings and trees changes. This changing displacement over time means the car is in motion.
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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
a child sleds down a steep snow-covered hill with an acceleration of 3.94 m/s^2. if her initial speed is 0.0m/s and her final speed is 21.1 m/s, how long does it take for her to travel from the top of the hill to the bottom?
The time taken is 5.36 s
Explanation:
The motion of the child is a uniformly accelerated motion, therefore we can use the following suvat equation:
[tex]v=u+at[/tex]
where
a is the acceleration
u is the initial velocity
v is the final velocity
t is the time
For the child in this problem, we have:
u = 0
v = 21.1 m/s
[tex]a=3.94 m/s^2[/tex]
Substituting and solving for t, we find the time taken:
[tex]t=\frac{v-u}{a}=\frac{21.1-0}{3.94}=5.36 s[/tex]
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Final answer:
Using the kinematic equation for uniformly accelerated motion, it takes the child approximately 5.36 seconds to sled down the hill from a starting speed of 0.0 m/s to a final speed of 21.1 m/s with an acceleration of 3.94 m/s^2.
Explanation:
To determine how long it takes for the child to sled down the hill, we can use the kinematic equation for uniformly accelerated motion, which is:
final velocity (v) = initial velocity (u) + acceleration (a) × time (t).
Given that the child's initial speed is 0.0 m/s, the final speed is 21.1 m/s, and the acceleration is 3.94 m/s2, we can rearrange the equation to solve for time (t):
time (t) = (final velocity - initial velocity) / acceleration
time (t) = (21.1 m/s - 0.0 m/s) / 3.94 m/s2 = 5.36 s
Therefore, it would take the child approximately 5.36 seconds to travel from the top of the hill to the bottom.
You want to prevent charges from moving off of a charged metal sphere.
Which statement accurately describes the material you need?
O
A. It has a low resistance and is a conductor.
O
B. It has a high resistance and is an insulator.
O
C. It has a low resistance and is an insulator.
O
D. It has a high resistance and is a conductor.
B. It has a high resistance and is an insulator.
Explanation:
To prevent charges from moving off of a charged metal sphere, it is best to use a material with a high resistance and is an insulator.
An insulator is a substance that does not allow electric charges and currents to move through. A material of high resistance retar/ds the flow of electricity. An insulator is therefore a material with a very high resistance. This will not allow electric current to pass through. To prevent movement of charges, we thereby use insulators. Conductors on the other hand are materials that allows electric charges to pass through. They generally have low resistance.learn more:
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Answer: it has a high resistance and is an insulator
Explanation:
1. Compare and contrast heat and temperature.
HEAT
1.It is a form of energy which gives sensation of warmth.
2.It is measured by calorimeter.
3.Its SI unit is Joule.
Temperature
1.The degree of hotness and coldness of a body is called temperature.
2.It is measured by Thermometer.
3.Its SI unit is Kelvin
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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Explain why squeezing a plastic mustard bottle forces mustard out to top.
Answer:
because when squeezing you are increasing pressure within the bottle and there is less pressure on the outside
Answer:
Because u r using force to push out the mustard in the bottle.
Explanation: