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# Help me understand! Two objects of equal mass hit a wall with the same velocity. They both rebound with the same velocity. Both objects experience the same momentum change but one experiences twice the force as the other. Which of the following state

Two objects of equal mass hit a wall with the same velocity. They both rebound with the same velocity. Both objects experience the same momentum change but one experiences twice the force as the other. Which of the following statements is true?

• Option 1)

the contact time between the object and the wall of one is twice the contact time of the other

• Option 2)

the contact time between the object and the wall of one is equal to the contact time of the other

• Option 3)

the contact time between the object and the wall of one is one-half the contact time of the other

• Option 4)

the change in the kinetic energy is the same for the two objects.

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As we learnt in

Perfectly Elastic Collision -

$e=1$

- wherein

$e\: :\: coefficient \: of\: restitution$

The contact time between the object and the wall of one is twice the contact time of other.

Option 1)

the contact time between the object and the wall of one is twice the contact time of the other

Correct

Option 2)

the contact time between the object and the wall of one is equal to the contact time of the other

Incorrect

Option 3)

the contact time between the object and the wall of one is one-half the contact time of the other

Incorrect

Option 4)

the change in the kinetic energy is the same for the two objects.

Incorrect

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