Question

Two balls, one of radius R and mass M, the other of radius 2R and mass...

Two balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down an frictionless incline. They start together from rest at the top.

a) Which one will have more K.E.?

b) Which one will reach the bottom first or in other words which one has greater velocity?

(Hint: KR = ½ I ω2 and KT = ½ m v2 and v=rω and I=2/5 mr2 ; K.E. = KR + KT and K.E. = P.E.) Please show calculations for each part and clearly explain.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two spheres have the same radius (R) and same mass (M). One sphere is solid, and...
Two spheres have the same radius (R) and same mass (M). One sphere is solid, and the other is hollow and made of a denser material. They start from rest at the top of an incline (rolls without slipping). (a) Which has greater moment of inertia? (b) Which has the greater rotational kinetic energy? (c) Which has the greater total kinetic energy at the bottom? (d) Which has the greater speed at the bottom? (e) Given I solid shpere =(2/5)...
Two spheres have the same radius (R) and same mass (M). One sphere is solid, and...
Two spheres have the same radius (R) and same mass (M). One sphere is solid, and the other is hollow and made of a denser material. They start from rest at the top of an incline (rolls without slipping). (a) Which has greater moment of inertia? (b) Which has the greater rotational kinetic energy? (c) Which has the greater total kinetic energy at the bottom? (d) Which has the greater speed at the bottom? (e) Given Isolid shpere =(2/5) MR2...
Consider the objects below, all of mass M and radius R (where appropriate). They are placed...
Consider the objects below, all of mass M and radius R (where appropriate). They are placed on an incline plane at the same height. Which object will roll down the incline and reach the bottom with the greatest total energy? a) A solid sphere b) A thin spherical shell c) A solid cylinder of length L d) A cylindrical shell of length L e) All will reach bottom with same energy Group of answer choices A solid sphere A thin...
disk 1: Radius= R; Mass= 3M, Angle velocity= 2wo Disk 2: Radius= 2R; Mass= M, Angle...
disk 1: Radius= R; Mass= 3M, Angle velocity= 2wo Disk 2: Radius= 2R; Mass= M, Angle velocity= -wo Disk 1 drops on to disk 2 and then spin together at the same rate, wf What is wf?
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a...
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a ramp without slipping. The initial height of the incline is H= 2m. The moment of inertia of the ball is I=(2/5)MR2 What is the total kinetic energy of the bowling ball at the bottom of the incline? 684J 342J 235J 137J If the speed of the bowling ball at the bottom of the incline is V=5m/s, what is the rotational speed ω at the...
A solid cylinder of mass M and radius 2R rests on a horizontal table. A cord...
A solid cylinder of mass M and radius 2R rests on a horizontal table. A cord is attached by a yoke to a frictionless shaft that passes through the cylinder, so that it can rotate on the shaft. The cord passes through a disk-shaped pulley of mass M and radius R, which is mounted on a frictionless shaft that passes through its center. A block of mass M is suspended from the free end of the thread. The thread does...
two putty balls, one of mass M and the other of mass 2M, collide and stick...
two putty balls, one of mass M and the other of mass 2M, collide and stick together. just before the collision, the ball with mass 2m is moving at an angle theta, with respect to the +y direction with speed V, and ball with mass M is moving in the +x direction with speed 2V. (derive and expression using the coordinate system provided, in terms of system parameters, for the KE of the combined object after collision.?)
Two balls are placed, one above the other, and dropped from a height of 1.05 m....
Two balls are placed, one above the other, and dropped from a height of 1.05 m. The bottom ball has a mass which is 6 times the mass of the top ball. They are dropped from rest. When the balls strike the floor, they have a head on, elastic collision with one another. (Assume that the bottom ball strikes the floor, instantly reverses direction, and then collides with the top ball, which is still travelling downward.) How high will the...
Rotation (rolling without slipping) Two cylinders with a radius r=0.650 m are rolled without slipping down...
Rotation (rolling without slipping) Two cylinders with a radius r=0.650 m are rolled without slipping down an incline that descends a vertical distance of 2.45 meters. Each cylinder has equal mass m=3/68 kg, but one is solid and the other is a hollow shell. A) What is the center of mass velocity of the solid cylinder at the bottom of the incline? B) What is the center of mass velocity of the hollow cylinder at the bottom of the incline?...
One model for a certain planet has a core of radius R and mass M surrounded...
One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M = 5.95 × 1024 kg and R = 2.57 × 106 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT