6. A hoop (rotational inertia Į = MR² ) of mass 2.00 kg and radius 0.50 m is rolling at a center- of-mass speed of 2.50 m/s. An external force does 75.0J of a positive work on the hoop. (a) Calculate the initial total kinetic energy KE and (b) find the new speed of the hoop. (hint: W = AKE = KEF – KE , KE = KEtrans + KErot, w = v/R) %3D %3D %3D (a) KE = KErans + KErot =Mv2 %3D KEF = W + KE; %3D %3D (b)v, = %3D

6. A hoop (rotational inertia Į = MR² ) of mass 2.00 kg and radius 0.50 m is rolling at a center- of-mass speed of 2.50 m/s. An external force does 75.0J of a positive work on the hoop. (a) Calculate the initial total kinetic energy KE and (b) find the new speed of the hoop. (hint: W = AKE = KEF – KE , KE = KEtrans + KErot, w = v/R) %3D %3D %3D (a) KE = KErans + KErot =Mv2 %3D KEF = W + KE; %3D %3D (b)v, = %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 metal can containing condensed mushroom soup has mass 220 g, height 10.0 cm and diameter 6.38 cm.…

A: We discover that energy is neither destroyed at any point, nor is it generated at any stage. It…

Q: A 14 lb bowling ball is thrown onto a lane with a backspin angular speed wo - 10 rad/s and forward…

A: The question asks for the work done by friction on the ball from the initial time until the time the…

Q: Determine the speed of the block with a mass of 0.60 kg after it has fallen 145 cm. The sphere is a…

Q: A torque of 170 N.m does 4715 J of work on a rotating flywheel. If the flywheels initial kinetic…

A: Given : τ = 170 N.m W = 4715 J Ki = 1320 J

Q: 5. A cable is wrapped around a solid cylinder with mass 50kg and diameter 0.12m. The cylinder…

Q: Determine the speed of the block with a mass of 0.60 kg after it has fallen 145 cm. The sphere is a…

Q: Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates…

A: Total kinetic energy is,

Q: A bowling ball of mass 6.85 kg is rolling at 2.60 m/s along a level surface. (a) Calculate the…

Q: A wheel is rolling along the ground with a translational velocity of 2.0m/s. If the wheel has a…

Q: Carlonda has a solid ball that she rolls while teaching class at Carver High School. It has a mass…

Q: The radius of a wheel is 0.700 m. A rope is wound around the outer rim of the wheel. The rope is…

A: Given, The radius of a wheel is r = 0.700 m

Q: In the figure, a small 0.346 kg block slides down a frictionless surface through height h = 0.409 m…

Q: ニ,9% Figure 10.6 2.4Sin 30 -2.4m B 30 06m ne radius of a 3.0 kg wheel is 6.0 cm. The wheel is…

A: Mass=3kg Angle=30 Distance=6m

Q: A uniform solid cylinder of mass M and radius R rolls without slipping down an inclined frictional…

A: Step 1:Given that solid cylinder roll without sleeping it means : v=ωR Here, R=Radius of…

Q: 5. A 2.5kg sphere with a radius of 35cm rotates on an axis through its center. A point on the edge…

A: Given: Mass of sphere is m=2.5kg Radius of sphere is r=35cm=0.35m tangential speed is v=10m/s

Q: A wrench is used to tighten a nut. A 100-N force is applied 0.10 m from the axis of rotation. what…

Q: 7. A solid sphere of mass M and radius R starts from rest at the top of an inclined ramp, and rolls…

A: The objective of the question is to understand the energy transformation in the rolling sphere and…

Q: The puck in the figure below has a mass of 0.224 kg. Its original distance from the center of…

Q: Find the total kinetic energy of a rolling bowling ball that has a mass of 4 kg and a radius of 0.17…

Q: A bowling ball of mass 7.15 kg is rolling at 2.50 m/s along a level surface. (a) Calculate the…

Q: A hollow ball has a radius of 2.47cm and a mass of 7kg and is rolling, it is traveling with a…

Q: MY NOTE A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 16.0°. It…

Q: A hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if…

Q: The radius of a wheel is 0.890 m. A rope is wound around the outer rim of the wheel. The rope is…

A: Given that The radius of the wheel (R) = 0.890m The rope is pulled with a force of…

Q: A wheel with rotational inertia 46 kg.m2 is mounted on a fixed, frictionless axle. The angular speed…

A: The expression for the average power is,

Q: bowler uses a lane with a coefficient of kinetic friction of 0.156. The bowler releases her 5.30 kg…

A: Given values:- Coefficient of kinetic friction,(μk)=0.156 ----(1) Mass of the ball,(m)=5.30 kg…

Q: A solid ball with mass, M=2.5 kg and radius, R=0.2 meter is released from rest from the top of an…

A: m = 2.5 kg R = 0.2 m Initial velocity (u) = 0 m/s h = 3.5 m

Q: 10. A 5.50-kilogram hoop starts from rest at a height 1.60 m above the base of an inclined plane and…

A: Given: Mass, m=5.50 kg Height, h=1.60 m

Q: A constant torque of 3.4 N.m is applied to an object , which undergoes 28 revolutions. Calculate the…

Q: A clay cylinder of radius 21 cm on a potter's wheel spins at a constant rate of 15 rev/s. The potter…

Question

6. A hoop (rotational inertia Į = MR² ) of mass 2.00 kg and radius 0.50 m is rolling at a center-
of-mass speed of 2.50 m/s. An external force does 75.0J of a positive work on the hoop. (a) Calculate the
initial total kinetic energy KE and (b) find the new speed of the hoop. (hint: W = AKE = KEF – KE , KE
= KEtrans + KErot, w = v/R)
%3D
%3D
%3D
(a) KE = KErans + KErot =Mv2
%3D
KEF = W + KE;
%3D
%3D
(b)v, =
%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

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Item 11 The pulley in (Figure 1) has radius 0.160 m and moment of inertia 0.380 kg - m². The rope does not slip on the pulley rim. Figure 4.00 kg 5.00 m 2.00 kg 1 of 1 Part A V = Use energy methods to calculate the speed of the 4.00 kg block just before it strikes the floor. Express your answer with the appropriate units. μÀ Value Submit Request Answer
Determine the speed of the block with a mass of 0.60 kg after it has fallen 145 cm. The sphere is a shell with M = 4.5 kg and R = 8.5 cm. The pully has a rotational inertia of 0.0030 kg m2 and r = 5.0 cm. Use g = 9.8 m/s/s. Use conservation of energy.
A hollow sphere rolls without slipping down a ramp that is 3.5 m long. the ramp is inclined at an angle of 20˚ with the horizontal. Use the conservation of energy to find the speed of the sphere at the bottom of the slope if it starts from rest. ( I= 2/3 m R2 )
If a car tire with a moment of inertia of 4 kg*m² has an initial angular speed of 8 rad/s and then it experiences a net-work of 50 J, what is the final angular speed? O 12.28 rad/sec O9.43 rad/sec O 0.56 rad/sec O 6.24 rad/sec
A circular disk has a rotational inertia of 9.1 kg.m² and a constant angular acceleration of 8.1 rad/s2. If it starts from rest the work done during the first 2.7 s by the net torque acting on it is: Select one: a. 2176.25 ] Ob.8705.00 1 C. 4352.50 k] d. 4352.50 ]
A 5kg sphere with a radius of 10 cm is spinning at an angular of 15rads/s. What is the rotational kinetic energy (in j) of the solid sphere? The final answer in 2 decimal places