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Equations of Motion

Two trucks A ...

Question

Two trucks A and B are moving with the same kinetic energy. A is twice as massive as B. The same brake force is applied on A and B and they stop over distances a and b. The correct relation between $a$ and $b$ is:

A

a = 2 b

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B

b = 2 a

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C

a = b

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D

a = 4 b

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Solution

The correct option is A $a = b$
$K_{A} = K_{B}$
$m_{A} = 2 m_{B}$
$K_{A} = F a$
$K_{B} = F b$
Since $K_{A} = K_{B}$ , $a = b$

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