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Question

A truck and a car are moving on a smooth, level road such that the kinetic energy associated with them is same. Brakes are applied simultaneously in both of them such that equal retarding forces are produced in them. Which one will cover a greater distance before it stops?

A
Car
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B
Truck
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C
Both will cover the same distance
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D
Nothing can be decided
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Solution

The correct option is B Both will cover the same distance
If both are moving with same kinetic energy then m1v21=m2v22
Now if acting force is same then a1=Fm1
And a2=Fm2
Distance travelled is S=v22a
So S1=v21m12F
And S2=v22m22F
But we already knows that m1v21=m2v22
So distance travelled by both bodies is same.

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