1. Choose the correct answer from the option list below to answer the following parts. a) A ball is rolling across the floor at a constant velocity. What is the value of the change in its kinetic energy, ΔEk? b) A ball starts rolling down a ramp. What is the value of the change in its kinetic energy, ΔEk? c) A ball slows down as it rolls up a hill. What is the value of the change in its kinetic energy, ΔEk? i) Zero ii) Positive iii) Negative

1. Choose the correct answer from the option list below to answer the following parts. a) A ball is rolling across the floor at a constant velocity. What is the value of the change in its kinetic energy, ΔEk? b) A ball starts rolling down a ramp. What is the value of the change in its kinetic energy, ΔEk? c) A ball slows down as it rolls up a hill. What is the value of the change in its kinetic energy, ΔEk? i) Zero ii) Positive iii) Negative

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 31PQ: Sophia is playing with a set of wooden toys, rolling them offthe table and onto the floor. One of...

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Sophia is playing with a set of wooden toys, rolling them offthe table and onto the floor. One of the toys is a small spherewith a mass of 0.024 kg and a radius of 0.020 m, and another isa small cylinder that also has a mass of 0.024 kg but a radius of0.013 m. She rolls each toy so that it has the same translationalspeed of 0.40 m/s. How much greater is the kinetic energy ofthe cylinder than the kinetic energy of the sphere?
1. I am driving my 3500 pound weight car at 45 mph around a flat curve of radius 50 meters. If the us = 0.85, do I make it around the curve? (Y/N). It starts raining and the us drops to .65. Do I make it now? (Y/N). At that speed what is the kinetic energy of my car? Joules 2. Tom is doing a bucket lab with a mass of 5 kg of water. If he swings it 8 times around in 8 seconds and his arm is 0.8 meters long, what centripetal force is the bucket putting on his shoulder? Does the water fall on him? Newtons. _(Y/N). If he were on Mars (m-6.42*10^23 Kg, R=3397000 meters) would he get wet? 3. You are working on a pumped storage facility design. You have a pond on top of a hill. You approximate the pond as a cylinder with a diameter of 1500 feet and an average depth of 20 feet. The center of the pond is 300 feet above a river where you will let the pond full of water flow thru a turbine making electricity. What is the GPE of the pond? joules
Question 11 Describe the motion of an object that possesses kinetic energy yet undergoes no net displacement. Below are possible answers 1. The object must be sliding. 2. The object must be rolling. 3.The object must be at rest. 4. The object must be falling. 5. The object must be spinning.
One way to store energy is in the rotational motion of a flywheel, and some have proposed using such technology to power automobiles. One unit is based on a 7.0-kg flywheel in the shape of a hoop of radius 0.12 m that spins as fast as 50000 rpm A. How much kinetic energy is stored by the flywheel when it is rotating at its maximum rate? Express your answer to two significant figures and include appropriate units. B. If the vehicle requires an average power of 13 kW under normal driving conditions, for how much time can it operate with the energy stored in the flywheel? Express your answer to two significant figures and include appropriate units.
4. Consider the motorcyclist driving along a vertical circular track. Assume that the wheels of the motorcycle roll without slipping. Draw a free body diagram of the motorcyclist at the circled position. Draw a square around the force components that contribute to the centripetal acceleration. Draw a circle around the force components that contribute to the tangential acceleration. a. b. For each force component in your free body diagram in part (a), determine whether the work done by the force component is positive, negative, or zero.
Bert is on a Ferris wheel. The radius of the Ferris wheel is 6 meters. Its axle is 7 meters above the ground. It takes 100 seconds to complete one full revolution. Bert enters the Ferris wheel at its lowest height. The ride starts at 0 seconds. Work or explanation must be provided. Answers may not involve radians.a) Sketch a height vs time graph of ONE cycle of Bert’s motion on the ride. Show at least 5 KEY POINTS and label them on your graph. b) Determine an equation of the sinusoidal function h(t) to represent Bert’s journey, where h represents the height of the Ferris Wheel and t represents the time in seconds. Choose the MOST appropriate sinusoidal function based on the information provided
A ceiling fan with 83-cm-diameter blades is turning at 69 rpm. Suppose the fan coasts to a stop 25 s after being turned off. Part A What is the speed of the tip of a blade 10 s after the fan is turned off? Express your answer to two significant figures and include the appropriate units. V = Submit Part B μA Value Request Answer Units Number of revolutions = Through how many revolutions does the fan turn while stopping? Express your answer using two significant figures. ? ΠΑΣΦ ?
16. Kathy is changing the tire of her car on a steep hill 20.0 m high. She trips and drops the 10.0 kg spare tire, which rolls down the hill with initial speed of 2.00 m/s. what is the speed of the tire at the top of the next hill, which is 5.00 m high? (Ignore the effects of Rotational Kinetic Energy and friction.) *Use g=9.8 a. 18.8 m/s b. 17.3 m/s c. 12.56 m/s d. 14.6 m/s e. 16.43 m/s
A Ferris wheel on a California pier is 27 m high and rotates once every 32 seconds in the counterclockwise direction. When the wheel starts turning, you are at the very top. a. What is your angular position 75 seconds after the wheel starts turning, measured counterclockwise from the top? Express your answer as an angle between 0∘ and 360∘. b. What is your speed?
A boulder that can be modeled as a sphere rolls down a hill without slipping. The radius of the boulder is 1 meter, the mass of the boulder is 200 kg. The boulder started from rest and rolls 100 meters down the surface of the hill which has a constant slope of 15 degrees. 1. What is the speed of the boulder just as it reaches the bottom of the hill? 2. Since it rolled without slipping there must have been static friction acting on the boulder from the hill. What was the magnitude of the friction force on the boulder? (Hint: The friction force must be the one causing the Torque)
1. List the kinematic equations you would choose to use in each of the following situations (i.e. the most reasonable equations). a. Translation: a = 4 ft/s? b. Rotation: a = 10 rad/s c. Translation: a= 2 cos e ft/s?, where 0 = 2t2 – 3 rad d. Rotation: a = 2r rad/s? For example, if asked for equations for a = 2t mph, I would note that acceleration is not constant, and I would need the general translation kinematic equations: dv dr v = - dt adr = vdv a =- dt
please make a free body diagram based on the problem with labels. no need to solve the problem A child rolls a 0.600-kg basketball up a long ramp. The basketball can be considered a thin-walled, hollow sphere. When the child releases the basketball at the bottom of the ramp, it has a speed of 8.0 m/s. When the ball returns to her after rolling up the ramp and then rolling back down, it has a speed of 4.0 m/s. Assume that the work done by friction on the basketball is the same when the ball moves up or down the ramp and that the basketball rolls without slipping. Find the maximum vertical height increase of the ball as it rolls up the ramp.