Question
Asked Feb 22, 2020
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A block with mass M = 5.75 kg is sliding in the positive x-direction at Vi = 8.40 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.75 kg.



Determine the velocities, 

Vf

 and 

vf,

 of the objects after the collision.

Vf
=  m/s
vf
=  m/s
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Expert Answer

Step 1

Consider the diagram given below for the given system.

Physics homework question answer, step 1, image 1

Here, vi is zero because the mass m is at rest initially.

Since the collision is elastic, the linear momentum of the system is conserved.

Thus,

Physics homework question answer, step 1, image 2

Step 2

For the elastic collision total kinetic energy of the system before and after the collision is conserved.

Thus,

Physics homework question answer, step 2, image 1

Substitute the value of vf in the above equation from equation (1).

Physics homework question answer, step 2, image 2

...

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