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Question: A bus can be stopped by applying a retarding force F when it is moving with a speed v on a level roa...

A bus can be stopped by applying a retarding force F when it is moving with a speed v on a level road. The distance covered by it before coming to rest is s. If the load of the bus increases by 50 % because of passengers, for the same speed and same retarding force, the distance covered by the bus to come to rest shall be

A

1.5 s

B

2 s

C

1 s

D

2.5 s

Answer

1.5 s

Explanation

Solution

Retarding force (F) × distance covered (x) = Kinetic energy

(12mv2)\left( \frac { 1 } { 2 } m v ^ { 2 } \right)

If v and F are constants then x ∝ m

⇒ x2 = 1.5 s.