1) A sticky ball is shot with a speed of 12 m/s and it makes a head-on collision

Question

1) A sticky ball is shot with a speed of 12 m/s and it makes a head-on collision with an identical stationary sticky ball. Both balls are identical and the collision is perfectly inelastic. How fast are the balls moving after the collision?

2) The graph below shows four possible relationships between the kinetic energy (KE) and momentum (p) of a certain object of fixed mass. Examining the equations for KE and p, determine which graph is the only possible correct one.

In all cases kinetic energy is on the vertical (y) axis and momentum is on the horizontal (x) axis.

You may be surprised to learn that if you understand this, you just took the first step toward learning a "dispersion diagram" which are used, for example, to understand semiconductor band theory.

Explanation / Answer

Only one question can be posted as per chegg guidelines

1.

BY Conservation of momentum

M1V1+M2V2 =(M1+M2)V

Since M1=M2=M

Given V1=12 m/s and V2=0 (since ball is stationary)

M*12+M*0 =(M+M)V

2V =12

V=6 m/s

2.

For other question image of graph is needed

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