Answer:
s = - 4 cos 4t + 2t + 6.
Explanation:
a = dv/dt = 16 cos 4t ,
dv = 16 cos 4t dt
integrating on both sides
v = 16 x sin 4t /4 + c
= 4 sin 4t + c
when t = 0 , v = 2
2 = 0 + c
c = 2
v = 4 sin 4t + 2
ds/dt = 4 sin 4t + 2
ds = ( 4 sin 4t + 2) dt
integrating on both sides
s = - 4 cos 4t/4 + 2t + k
= - cos 4t + 2t + k
when t = 0 s = 5
5 = -1 + 0 + k
k = 6
s = - 4 cos 4t + 2t + 6.
Ans.
If we wanted to describe and better understand the structure of the rings of Saturn, we might develop a
scale. system. machine. model.
PLEASE HELP ME THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLZ!!!!!!!!!!
A torque of 50 N*m acts on a wheel of moment of inertia 25 kg*m^2 for 4 s and then is removed.
b)How many revolutions does it make in 15 s if it starts at rest?
I found the angular acceleration, 2 rad/s^2, but I don't know how to find the amount of revolutions.
To find the number of revolutions a wheel makes after a torque is removed, calculate the angular velocity after torque application, then the angle of rotation during acceleration and uniform motion periods, and sum these angles. Convert the total angle in radians to revolutions by dividing by 2π.
Explanation:To calculate the number of revolutions a wheel makes after a torque is removed, you need to consider both the angular acceleration while the torque was applied and the subsequent angular velocity for the remainder of the time. The wheel starts from rest, so the initial angular velocity (ω0) is zero. During the first 4 seconds, the wheel undergoes angular acceleration (α) due to the torque, after which the wheel continues to rotate at the angular velocity it reaches at the end of 4 seconds. It is given that the angular acceleration is 2 rad/s².
First, find the angular velocity after 4 seconds using the formula ω = ω0 + αt, which gives ω = 0 + (2 rad/s²)(4 s) = 8 rad/s. This is the constant angular velocity for the next 11 seconds since there is no more torque applied.
To solve for the angle (θ) in radians that the wheel has turned during the full 15 seconds, use the equation for angular motion, θ = ω0t + ½αt², for the first 4 seconds and θ = ωt for the last 11 seconds. These are the angles during the intervals of constant acceleration and constant angular velocity respectively. Then, θ = (1/2)(2)(4²) rad during the acceleration and θ = (8 rad/s)(11 s) during uniform rotation. The total angle in radians is then the sum of the angles for the two intervals.
Since 1 revolution is 2π radians, divide the total angle in radians by 2π to find the total number of revolutions.
The scientific name for a plant that reproduces with spores is a(n)
When heat flows from one substance to another, what happens to the temperature of the substance giving off the heat and to the temperature of the substance receiving the heat?
Heat transfer from one substance to another results in the decrease of temperature in the substance losing heat and an increase in the substance gaining heat. At the melting or boiling points, heat absorbed is used for phase changes instead of raising the temperature. The heat required for a phase change is proportional to the substance's mass.
When heat flows from one substance to another, this process is known as heat transfer. The substance giving off heat, or the higher temperature substance, will experience a decrease in its temperature. Conversely, the substance receiving the heat, or the cooler substance, will see an increase in temperature. This heat transfer continues until both substances reach thermal equilibrium, meaning they have the same temperature.
Specifically, at the melting point or boiling point, heat flow into a substance does not change its temperature but rather is used to change its state. This is because the energy is utilized to break the intermolecular forces that hold the substance in its current phase. For example, when ice melts to become water at its melting point, the temperature remains constant until all the ice has melted. The same is true for boiling; the temperature of the liquid remains constant during the transition to a gas.
The amount of heat required for these phase changes is directly proportional to the mass of the substance undergoing the change. In other words, larger amounts of substance will require more heat to complete the phase transition.
A book with a mass of 2.0 kg is held in equilibrium on a board with a slope of 60.0° by a horizontal foce. What is the normal force exerted on the book?
The normal force exerted on the book is 9.8067 N, which is calculated using the mass of the book, the acceleration due to gravity, and the cosine of the slope angle (60°).
Explanation:To determine the normal force exerted on the book, we need to consider the forces at play when a book is held on an inclined plane with a slope of 60.0°. The weight of the book (mass times the acceleration due to gravity) acts vertically downward. This weight can be broken down into two components: one perpendicular to the slope (which contributes to the normal force) and one parallel to the slope. The parallel component is counteracted by the horizontal force that keeps the book in equilibrium, and hence does not affect the normal force. The component of the weight perpendicular to the slope is what contributes to the normal force. Thus, with a mass of 2.0 kg and using the value of the acceleration due to gravity (9.8067 m/s²), the normal force can be calculated as the product of the mass, the acceleration due to gravity, and the cosine of the slope angle, which is 60.0° in this case.
As the book is in equilibrium, the normal force is equal to the weight component perpendicular to the slope. The force due to gravity is Fg = m × g, where m is mass and g is acceleration due to gravity. Therefore:
Calculate the force due to gravity: Fg = 2.0 kg × 9.8067 m/s² = 19.6134 NDetermine the perpendicular component: Fg × cos(60°) = 19.6134 N × 0.5 = 9.8067 NThe normal force is thus 9.8067 N.The correct answer is that the normal force exerted on the book is 9.8 N.
To solve this problem, we need to consider the forces acting on the book in the direction perpendicular to the inclined board. The normal force (N) is the force exerted by the board on the book that is perpendicular to the surface of the board.
First, we need to break down the gravitational force acting on the book into two components: one parallel to the inclined board and one perpendicular to it. The gravitational force [tex](F_g)[/tex] acting on the book is the product of its mass (m) and the acceleration due to gravity (g), which is approximately 9.8 m/s².
So, the gravitational force is:
[tex]\[ F_g = m \cdot g = 2.0 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 = 19.6 \, \text{N} \][/tex]
The component of the gravitational force parallel to the inclined board [tex](F_parallel)[/tex] can be found using the sine of the angle of the incline:
[tex]\[ F_{\text{parallel}} = F_g \cdot \sin(\theta) \][/tex]
[tex]\[ F_{\text{parallel}} = 19.6 \, \text{N} \cdot \sin(60.0\°) \][/tex]
[tex]\[ F_{\text{parallel}} = 19.6 \, \text{N} \cdot \frac{\sqrt{3}}{2} \][/tex]
[tex]\[ F_{\text{parallel}} = 19.6 \, \text{N} \cdot 0.866 \][/tex]
[tex]\[ F_{\text{parallel}} = 17.0 \, \text{N} \][/tex]
The component of the gravitational force perpendicular to the inclined board [tex](F_perpendicular)[/tex] can be found using the cosine of the angle of the incline:
[tex]\[ F_{\text{perpendicular}} = F_g \cdot \cos(\theta) \][/tex]
[tex]\[ F_{\text{perpendicular}} = 19.6 \, \text{N} \cdot \cos(60.0\°) \][/tex]
[tex]\[ F_{\text{perpendicular}} = 19.6 \, \text{N} \cdot \frac{1}{2} \][/tex]
[tex]\[ F_{\text{perpendicular}} = 9.8 \, \text{N} \][/tex]
Since the book is in equilibrium, the sum of the forces in the perpendicular direction must be zero. This means that the normal force (N) must be equal in magnitude and opposite in direction to the perpendicular component of the gravitational force:
[tex]\[ N = F_{\text{perpendicular}} \][/tex]
[tex]\[ N = 9.8 \, \text{N} \][/tex]
If a star is located 40,000 light years from Earth, what can you conclude about the light from the star?
Answer
The light will travel 40,000 kilometers to reach Earth.
The light will take 40,000 years to reach Earth.
The light will travel 300,000 kilometers to reach Earth.
The light will take 300,000 years to reach Earth.
Answer:
the light will take 40,000 years to get to earth :))
Explanation:
it was also right on the test gl! :33
The light will take 40,000 years to get to earth.
What is light?Light is a form of electromagnetic radiation that makes things visible or enables the human eye to see. It can also be described as radiation that is visible to the human eye. Light contains photons, which are little energy packets. Light never deviates from a straight course.
If a star is located 40,000 light years from Earth,we can you conclude about the light from the star takes 40,000 years to get to earth
The light will take 40,000 years to get to earth.
To learn more about light refer to the link:
brainly.com/question/15200315
#SPJ2
Which of the following best describes the relationship of solar UV radiation to the environment?
Mutagen
Germicide
Pollutant
Agility refers to a persons level of flexibility true or false
Answer: false
Explanation:
Agility is the ability of a body to change position efficiently.
An example is a dancer who moves the body quickly while dancing.
It is also a combination of balance, coordination, speed, reflexes, strength and endurance.
Hydroelectric power uses: wind water coal the sun
hydroelectric uses water
Answer: water
Explanation: I got it right on odyssey.
The fast server in women's tennis is Venus Williams, who recorded a serve of 130 (209 ) in 2007.
If her racket pushed on the ball for a distance of 0.10 , what was the average acceleration of the ball during her serve?
your boss asks you to adjust the temperature so that a sound wave travels more quickly through the air you increase the temperature from 30 c to 36 c what's the velocity of the sound wave at this new temperature
Answer:
initial speed of sound at 30 degree C
[tex]v_1 = 349.6 m/s[/tex]
final speed of sound at 36 degree C
[tex]v_2 = 353.2 m/s[/tex]
Explanation:
As we know that velocity of the sound in air is given by the formula as
[tex]v = 331.6 + 0.6 t[/tex]
here we know that
t = temperature or air in degree celcius
so here at 30 degree celcius we can say that
[tex]v_1 = 331.6 + 0.6(30)[/tex]
[tex]v_1 = 349.6 m/s[/tex]
now at 36 degree C the speed of sound is given as
[tex]v_2 = 331.6 + 0.6(36)[/tex]
[tex]v_2 = 353.2 m/s[/tex]
A forecaster may say that he or she looks for "right-moving" thunderstorms when predicting severe weather. the "right-moving" thunderstorms move _____.
A 'right-moving' thunderstorm refers to storms that move to the right of the steering winds, often associated with severe weather patterns including supercells.
When a forecaster looks for "right-moving" thunderstorms when predicting severe weather, they refer to storms that exhibit a dominant motion to the right relative to the steering winds at their altitude, typically in the Northern Hemisphere. This movement can be associated with supercell thunderstorms, which are characterized by a deep, persistently rotating updraft. Due to the Coriolis effect, storms in the Northern Hemisphere are deflected to the right, and this deviation is even more pronounced in severe weather situations where supercell thunderstorms are more likely to produce tornadoes and other severe weather phenomena. Supercells are often right-moving because they tilt with height in such a way that their upper parts move more to the right due to wind shear, resulting in their rightward motion compared to other nearby storms. The severe thunderstorms associated with supercells are particularly hazardous due to their potential to produce high winds, large hail, and tornadoes.
It's important to note that the direction and movement of thunderstorms and related weather fronts have significant implications for weather forecasting. A right-moving storm in the Northern Hemisphere often indicates a storm that is growing in strength and has the potential to be dangerous. Recognizing these patterns helps meteorologists predict severe weather with greater accuracy and provide earlier warnings to the public.
While sitting in class your body exerts a force of 600 N on your chair. how much work did you do?
An occupant of a car can survive a crash if the deceleration during the crash is less than 30 g. Calculate the force on a 64 kg person decelerating at this rate.
Does a satellite have its greatest speed when it is closest to or farthest from earth?
After finishing their ice cream, the girls decide to go to Destiny’s house. From the ice cream shop, they walk south at a pace of 4.0 km/hr for 15 minutes. What is the position of Destiny’s house?
Final answer:
Destiny's house is 1.0 km to the south of the ice cream shop, calculated by multiplying their walking speed (4.0 km/hr) by the time spent walking (0.25 hours).
Explanation:
The position of Destiny's house can be determined by calculating the distance the girls traveled from the ice cream shop. Since they walk south at a pace of 4.0 km/hr for 15 minutes, we first convert the time walked from minutes to hours by dividing 15 minutes by 60, which is 0.25 hours. Multiplying the pace by the time gives us the distance: 4.0 km/hr × 0.25 hr = 1.0 km. Therefore, Destiny's house is 1.0 km to the south of the ice cream shop.
Why will a set of stars appear at a different angle to us at different times of the year?
A. because we change location as Earth orbits the sun
B. because the stars move back and forth across the sky
C. because of distortions by gravity ...?
Answer:
A. because we change location as Earth orbits the sun
Explanation:
We have to remember that the universe is traveling and expanding and we are all traveling along with it, in this case the stars are expanding and traveling with the universe along with us, but the appearing on a different angle to us on different times of the year is because we orbit the sun, changing the angle at which we see the stars.
A rock is thrown straight upward off the edge of a balcony that is 5 m above the ground. The rock rises 10 m, then falls all the way down to the ground below the balcony. What is the rock's displacement?
The rock's displacement is 5 meters.
Explanation:The rock's displacement can be calculated by taking into account the initial height of the balcony and the maximum height reached by the rock. Since the rock was thrown straight upward, its initial velocity is positive and its final velocity is zero at the maximum height. The displacement is given by the difference between the final and initial positions, so it would be 10 m (the maximum height) minus 5 m (the height of the balcony), resulting in a displacement of 5 meters.
Learn more about rock's displacement here:https://brainly.com/question/33901479
#SPJ2
Why is it not possible to sit upright in a chair and rise to your feet without
first leaning forward?
...?
1. If a gallon of milk and a cup of milk are both at 8°C, the _____ of the gallon is higher.
potential energy
heat content
temperature
kinetic energy
2. As the vibration of molecules increases, the _____ of the substance increases.
temperature
internal energy
kinetic energy
all of the above
3. An indirect measurement of the speed of molecules is _____.
heat flow
temperature
friction
energy
4.How many calories are absorbed by a copper spoon with a mass of 200 grams as it changes from 28°C to 33°C?
0.00027
3
90
13,000
5. 5.25 calories are absorbed by an iron nail. How many joules is this?
1.07
9.43
12.6
21.9
6. The specific heat capacity of aluminum is 0.22 cal/g°C. How much energy needs to flow into 20.0 grams of aluminum to change its temperature by 15°C?
0.017 cal
0.29 cal
66 cal
1363 cal
The heat content of the gallon is higher i just answered this on Odysseware and got it correct
It is useful to think of a photon as a packet of
It is useful to think of a photon as a packet of Energy.
What is a photon?According to Albert Einstein light is composed of pockets of energy that are called photons. A photon has an electromagnetic field, electromagnetic radiation, electromagnetic force, and lastly, it is massless.
While studying the physics of light they found that light act as a stream of particles and move in waves. it carries energy as well. To define such a particle which shows both characteristics like energy in waves and a bunch of particles they introduce a name photon to describe the light in a proper way.
Light is made of steam of particles that particles are called photons, which is massless which means it travels with light speed in space and vacuum.
Hence photons are packets of energy.
To know more about Photons click:
https://brainly.com/question/14758126
#SPJ3
A street light is on top of a 8 foot pole. Joe,
who is 4 feet tall, walks away from the pole at
a rate of 4 feet per second. At what speed is
the tip of Joe’s shadow moving from the base
of the pole when he is 13 feet from the pole?
The speed of the tip of Joe’s shadow moving from the base of the pole when he is 13 feet from the pole is 8 m/s.
What is speed?Speed is defined as the SI unit of speed is measured in milliseconds per second, or m/s. It is the ratio of distance with time.
It is defined as a measurement of the length of time it takes for an object to travel a certain distance.
It can also be defined as the speed at which an object's location changes in any direction.
There are four types of speed.
Uniform speedVariable speedAverage speedInstantaneous speed8/4 = y/y-x
8y - 8x = 4y
y = 2x
y = 2 x 4
y = 8
Thus, the speed of the tip of Joe’s shadow moving from the base of the pole when he is 13 feet from the pole is 8 m/s.
To learn more about speed, refer to the link below:
https://brainly.com/question/28224010
#SPJ2
What are copper atoms held together by
The copper atoms are held together by a metallic bonding. The correct answer would be an option (A).
What is Metallic bonding?Among two or more metal atoms, metallic bonding is a form of chemical bonding that results from the attraction of the positively charged metal nuclei and their delocalized valence electrons. However, the contact involved has a distinct nature and is known as metallic bonding in compounds that exclusively include metal atoms.
Metallic bonding, as its name suggests, typically takes place in metals like copper. The copper atoms in a piece of copper metal are arranged in a certain way. These atoms are held together by their valence electrons, which are free to move throughout the metal and are drawn to the positive cores of copper.
Thus, the copper atoms are held together by a metallic bonding.
Learn more about Metallic bonding here:
https://brainly.com/question/13046593
#SPJ6
The question seems incomplete, the missing options, as follows:
The copper atoms are held together by ____.
A. Metallic bonding
B. Ionic bonding
C. Covalent bonding
Which substance in Table 5.2 requires the smallest amount of energy to increase the temperature of 51.5g of that substance by 10K ?
All of these are specific heats of some substances at 298 K.
So N2(g) is 1.04 J/g-k
Al (s) .90 J/g-k
Fe (s) .45 J/g-k
Hg (l) .14J/g-k
H2O (l) 4.18 J/g-k
CH4 (g) 2.20 J/g-k
CO2 (g) .84 J/g-k
CaCO3 (s) .82 J/g-k
Which of the following best describes the difference between speed and acceleration?
A.
Speed is the distance an object travels within a specific unit of time, whereas acceleration is the rate at which the speed or direction of an object is changing.
B.
Acceleration is the distance an object travels within a specific unit of time, whereas speed is the rate at which the acceleration or direction of an object is changing.
C.
Speed is the distance an object travels within a specific unit of time, whereas acceleration is a measure of the force necessary to change the speed of an object.
D.
Acceleration is the distance an object travels within a specific unit of time
Answer:
A. Speed is the distance an object travels within a specific unit of time, whereas acceleration is the rate at which the speed or direction of an object is changing.
Explanation:
Speed is the distance an object travels within a specific unit of time. The average speed of an object can be calculated by dividing distance over time. Acceleration, on the other hand, is the rate at which the speed or direction of an object is changing. Acceleration can be positive or negative.
Which of the following forms of radiation can be shielded by earths atmosphere? Gamma rays,radio waves,visible light, all of the above A. Rob.
The Earth's atmosphere can shield against various forms of electromagnetic radiation, mostly blocking gamma rays and allowing radio waves and visible light to penetrate. Thus, gamma rays are the form of radiation primarily shielded by our atmosphere.
The Earth's atmosphere provides a natural shield against various forms of electromagnetic radiation, including gamma rays, X-rays, and ultraviolet (UV) light. These types of radiation pose a potential risk to living organisms due to their high energy levels. However, while the atmosphere blocks most gamma rays and X-rays, completely shielding against all electromagnetic radiation is a different matter.
The atmosphere does allow visible light to pass through, enabling us to see the world around us. Radio waves, especially those on the lower frequency end, can also penetrate the atmosphere, which is why we can receive radio signals. On the other hand, gamma rays, which have the shortest wavelength and highest energy, are indeed absorbed by the atmosphere. This absorption is critical for protecting life on Earth from their potentially harmful effects.
To clarify: Gamma rays are mostly absorbed by the atmosphere, radio waves can generally penetrate it, and visible light travels through it to reach the Earth's surface. Therefore, the correct answer to the question about which form of radiation can be shielded by Earth's atmosphere is primarily gamma rays. However, it's worth noting that the question wording implies all of them can be 'shielded' to an extent, but gamma rays are the ones that are most effectively blocked.
What is the voltage measured with a voltmeter across a wire in a circuit?
a) the voltage is the same as the voltage across the power source
b) the voltage is half of the voltage of the power source
c) the voltag is zero
d) a voltmeter cannot measure the voltage across a wire
The voltage is zero
Explanation;Voltage is the potential difference between two points in a circuit or the electromotive force in a given circuit and is expressed in volts (V). Voltage is measured by a device called voltmeter that is always connected in parallel with the current source.When voltage is measured between two points on a wire in a circuit with zero or no resistance in between the two points then the voltage will be zero. From the ohm's Law, voltage is given the product of resistance and current and thus if the resistance is zero then the voltage will be zero.Which energy transformations occur when a candle burns?
Answer:
Chemical energy into Thermal energy and Light Energy
Explanation:
When candle is burnt then its wax which is a having chemical potential energy in it will burn and convert its chemical potential energy into light energy and thermal energy.
So here the wax will melt down after burning and few of its part will evaporate and convert its energy into thermal energy and light energy both.
So overall if we write energy transformation in this
Chemical potential energy of wax = Light Energy + Thermal energy
Holly measures the mass and the volume of metal block. Given this information, what can Holly calculate about the block?
A) acceleration
B) density
C) force
D) velocity
Answer: Holly can calculate the density of the block for the given information.
Explanation:
For the given options:
Option A: AccelerationAcceleration is defined as the rate of change of velocity with respect to time. S.I. unit of acceleration is [tex]m/s^2[/tex] The equation used to calculate acceleration is:
[tex]a=\frac{v}{t}[/tex]
Option b: DensityDensity of an object is defined as the ratio of its mass and volume. The chemical equation representing density of an object is:
[tex]\text{Density of object}=\frac{\text{Mass of object}}{\text{Volume of object}}[/tex]
Option c: ForceForce is defined as the push or pull on an object with some mass that causes change in its velocity.
It is also defined as the mass multiplied by the acceleration of the object.
Mathematically,
[tex]F=ma[/tex]
Option d: VelocityVelocity is defined as the rate of change of position with respect to time. The equation used to calculate velocity is:
[tex]v=\frac{d}{t}[/tex]
Hence, Holly can calculate the density of the block for the given information.
How does the sun impact land at different latitudes?