An object is rolling, so its motion has rotation and translation. Let K = the object's tranlational kinetic energy, U = its gravitational potential energy, KR = its rotational kinetic energy, and Emec = its total mechanical energy. Which of the following must be true? а. Emec = K+ U %3D b. K = 0 O c. KR must be constant as the object С. rolls. d. Emec = K + KR + U. %3D

An object is rolling, so its motion has rotation and translation. Let K = the object's tranlational kinetic energy, U = its gravitational potential energy, KR = its rotational kinetic energy, and Emec = its total mechanical energy. Which of the following must be true? а. Emec = K+ U %3D b. K = 0 O c. KR must be constant as the object С. rolls. d. Emec = K + KR + U. %3D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A car traveling at a constant speed as it rounds a curve is not experiencing angular acceleration.…

A: Introduction:Angular acceelration is defined as the rate of change ofangular velocity.α = dωdtalso…

Q: A. What are the astronauts' new speeds? B. What is the new rotational energy of the system?…

A: When the net external torque on a system is zero, then the angular momentum of the system is…

Q: Tangential and rotational speed are related by , Choose all that apply. A. Tangential speed =…

A: When an object is moving around a circular path, it has two types of velocities. 1. tangential…

Q: A ferris wheel begins at rest. During the first part of the journey, the ferris wheel accelerates…

A: Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first…

Q: A system is composed of a star and a planet. The planet is orbiting the star elliptically, but not…

A: A system is composed of a star and a planet The planet orbits the star in elliptical path and not in…

Q: A 1294kg sphere with a radius of 3.4m rolls without slipping down an incline of 41°.If the sphere…

A: "As per the guidelines i solved the first three subpart". (1) Find the rotational inertia of the…

Q: Radian/second (rad/s) is the unit of O a, angular acceleration O b. angular velocity O c.angular…

A: SI unit of Angular acceleration = rad/s^2 SI unit of Angular Velocity = rad/s

Q: In an Atwood's machine, one block has a mass of 304.0 g, and the other mass of 454.0 g. The pulley,…

Q: A 30.0 kg cylinder pulley with a radius of 0.4 m rotates at a constant angular speed 5 radian/s.…

Q: Angular and Linear Quantities: A scooter has wheels with a diameter of 120 mm. What is the angular…

A: Given Data : Diameter of the wheel, d = 120 mm = 120×10-3 mRadius of the wheel, r = d2 = 0.12 m2 =…

Q: 5. A metal hoop with a diameter of 10 cm is released from rest on top of an inclined plane and 1…

Q: what is the angular speed of seconds hand of a clock . a. 0.972 rad/s b. 0.105 rad/s c. 0.322…

Q: The total kinetic energy of a baseball thrown with a spinning motion is a function of: Choose A. its…

A: Given: The baseball is thrown with a spinning motion. Asked: Total kinetic is function of which…

Q: A 15.1-cm long pen is tossed up in the air, reaching a maximum height of 1.49 m above its release…

Q: An object of mass 1.5 kg does rotational motion. Its angular velocity is 30 rpm and the radius of…

A: Kinetic energy of the object in rotational motion Krot=12Iω2=12mr2ω2

Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…

A: Given: The mass of the disk is 3 kg. The radius of the disk is 2 m. The torque is 10 N-m. The time…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: Write the given values to the suitable variables.Here, is the initial angular speed, is the…

Q: 8. One radian equals approximately Your answer 9. If a 14 kg box is raised to a height of 4.0 m on…

A: (8) 1 radian is equal to 180π degree which is approximately equal to 57.3o

Q: If point on a front wheel of the bicycle tire completes exactly eight turns, what can be said about…

A: Angular acceleration of bicycle is as follows; α=dωdt…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

An object is rolling, so its motion has
rotation and translation. Let K = the object's
tranlational kinetic energy, U = its
%3D
gravitational potential energy, KR = its
rotational kinetic energy, and Emec = its total
mechanical energy. Which of the following
must be true?
а.
Emec = K + U
%3D
b. K= 0
c. KR must be constant as the object
С.
rolls.
d. Emec = K + KR + U.
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Answer

VIEW

Explanation

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A person sitting on the edge of 6-m-diameter platform moves an arc length of 2 m. Express the angular displacement in degree, radians and revolutions. An electric motor turns at 600 rpm. What is the angular velocity? What is angular displacement after 6 s. 6-m
18.) A grinding wheel 0.40 m in diameter rotates at 2200 rpm . a.) Calculate its angular velocity in rad/s. Express your answer using three significant figures. w=_______________rad/s b.) What is the linear speed of a point on the edge of the grinding wheel? Express your answer to two significant figures and include the appropriate units. v= ______________ ______________ c.) What is the acceleration of a point on the edge of the grinding wheel? Express your answer to two significant figures and include the appropriate units. aR=______________ _____________
An ice skater, whose rotational inertia is I = 4 kg·m2 with her arms close to her body, is spinning at 2 rad/s. She then fully extends her arms, changing her rotational inertia to 8 kg·m2. Which of the following is true? a.) Her angular momentum remains the same. b.) Her angular velocity decreases. c.) Her kinetic energy decreases. d.) All of the above. e.) B and C. d.) None of the above.
Calculate the rotational inertia of a wheel that has a kinetic energy of 46.4 kJ when rotating at 267 rev/min. Number i Units
4. A pinball of mass M and radius R is pushed against a spring of spring constant k. The spring is compressed a distance D and the pinball machine ramp is inclined at an angle 0. The spring is then released. The pinball is a solid metal sphere that rolls without slipping. a. Determine the speed of the pinball as it leaves the spring. Hint: the spring force is not constant so you cannot use constant acceleration kinematics. Use conservation of mechanical energy instead. b. What is the distance that the pinball would go up the ramp before coming back down?
A 4m board weighing 60 N extends out over the edge of the table with 40% of the board's length off the table. How far beyond the table can a 20N cat walk before the board begins to tilt Meow, O A. 1.2 m О В. 1.5 m о С. 1.1 m O D. 1.4 m O E. None of the above
A solid sphere of mass 4.0 kg and radius 0.20 m with a speed of 10 m/s rolls up from the bottomof a ramp inclined 20 ̊. How far approximately the ball will stop on the incline from the bottom?a. 3 m b. 7 m c. 10 m d. 15 m e. 20 m
Need help on these two questions
B. F. 2.480 cm C. 1.682 cm 1--1 IZKUK A grinding wheel 1.40 m in diameter rotates with angular speed 1340 rpm. What is the linear speed of a point on the edge of the grinding wheel? 13. A. 98.23 m/s D. 111.6 m/s B. 106.5 m/s E. 77.27 m/s 91.90 m/s C. 81.76 m/s F. 1--1 [carpet-3] IZKUO An object at the end of a 0.95 m string swings around in a circl
Moment of inertia is: O A. The point at which all forces appear to act. B. The rotational equivalent of mass. OC. The time at which the mechanical energy of rotation is minimum. O D. The time at which the kinetic energy is minimum.
9. Situational Question The rotation of a pulley is defined by the relation a=2t where a is in rad/s^2 and t is in seconds. When t=0, w=4 rad/s and = 0. Compute the value of wat t=5sec. a. 8 rad/s b. 25 rad/s c. 4 rad/s d. 29 rad/s Compute the value of e at t=5sec. a. 11 rad b. 62 rad c. 52 rad d. 31 rad A boy kicks a 0.15kg ball such that it leaves the ground at an angle of 45 degrees with the vertical and strikes the ground at the same elevation at a distance of 15m away. Determine the impulse on his foot on the ball at A. a. 1.749 kg-m/s b. 1.280 kg-m/s c. 1.947 kg-m/s d. 1.820 kg-m/s 9i. 9ii. 9iii.
A bowling ball has a mass of 20kg and a diameter of .24m. The ball rolls through 24.2 rotations while going down the lane. It takes the ball 4.6 seconds to reach the pins. How much kinetic energy is in the ball as it rolls down the lane?