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Two cars A and B with mass of A being three times the mass of B are moving such that kinetic energies are equal. They are brought to rest by applying brakes using the same braking force. After applying brakes, if distance travelled by A before coming to rest is S_A and that by B is S_B then :

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S_B = 2S_A

$S_{B} = \frac{S_{A}}{2}$

S_B = 4S_A

S_B = S_A

answer is D.

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Detailed Solution

By Work-Energy Theorem $W = ΔKE$
K=FS
S_A=S_B

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