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Chapter 11: Q. 30 (page 288)

A ball of mass m and another ball of mass 3m are placed inside a smooth metal tube with a massless spring compressed between them. When the spring is released, the heavier ball flies out of one end of the tube with speed v0. With what speed does the lighter ball emerge from the other end?

Short Answer

Expert verified

The speed will be -3v0.

Step by step solution

01

Given information 

We have given,

Ball of masses =m,3m

Speed of 3mball =v0

We have to find the speed of ball of mass m.

02

Simplify

Both the balls are initially in the rest then the momentum will be zero initial and also the final due to conservation of momentum of particles.

Then,

Pf=0Pf=m1v1+m2v2=0mv+3mv0=0v=-3v0

Where negative sign for the opposite direction.

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Most popular questions from this chapter

A 0.2 kg plastic cart and a 20 kg lead cart can both roll without friction on a horizontal surface. Equal forces are used to push both carts forward for a time of 1 s, starting from rest. After the force is removed at t = 1 s, is the momentum of the plastic cart greater than, less than, or equal to the momentum of the lead cart? Explain

A 100g granite cube slides down a 40° frictionless ramp. At the bottom, just as it exits onto a horizontal table, it collides with a 200g steel cube at rest. How high above the table should the granite cube be released to give the steel cube a speed of 150cm/s?

A 100 g ball moving to the right at 4.0 m/s collides head-on with a 200 g ball that is moving to the left at 3.0 m/s.

a. If the collision is perfectly elastic, what are the speed and direction of each ball after the collision?

b. If the collision is perfectly inelastic, what are the speed and direction of the combined balls after the collision?


A 0.2kgplastic cart and a 20kglead cart can both roll without friction on a horizontal surface. Equal forces are used to push both carts forward for a distance of 1m, starting from rest. After traveling 1m, is the momentum of the plastic cart greater than, less than, or equal to the momentum of the lead cart? Explain.

Air-track gliders with masses 300g,400g,and200gare lined up and held in place with lightweight springs compressed between them. All three are released at once. The 200gglider flies off to the right while the300g glider goes left. Their position-versus-time graphs, as measured by motion detectors, are shown in FIGURE P11.44. What are the direction (right or left) and speed of the 400 g glider that was in the middle?

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