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Chapter 11: Q. 22 (page 288)

A 50gmarble moving at 2.0m/s strikes a 20g marble at rest. What is the speed of each marble immediately after the collision?

Short Answer

Expert verified

Marvel of mass 50ghas speed 0.86m/s.

Marvel of mass20ghas speed2.9m/s.

Step by step solution

01

Given information

We have given,

Masses of marvel =50gand20g.

Speed of marvels =2m/sand0m/s.

We have to find their final velocity after collision.

02

Simplify

The given Collison is a elastic collision.

In the elastic Collison the momentum and energy of the system is conserved.

Then conservation of momentum is,

Pi=Pf

Let us consider marvels as marvel 1 of 50gand marvel 2 of 20g.

Then,

Pi=m1v1+m2v2Pi=0.05kg脳2m/s+0Pi=0.1kgm/s

and

PF=m1v1f+m2v2f..........(1)

Then using conservation of energy,

localid="1649676035847" K.EI=K.E.FFm1v12+m2v222=m1v1f2+m2v2f22(0.05)(4)=m1v1f2+m2v2f2........................(2)

Using equation (1) AND (2),

v1f=0.86m/sv2f=2.9m/s

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