Question

A truck and a car are moving with equal velocity. On applying the brakes both will stop after a certain distance, then

• A. The truck will cover less distance before coming to rest
• B. The car will cover less distance before coming to rest
• C. Both will cover an equal distance
• D. None of the above

Answer 1

The correct option is B

The car will cover less distance before coming to rest

Explanation

Since the mas of the truck exceeds the mass of the car therefore it will possess more momentum.

Momentum is the product of mass and velocity, therefore

$Momentum\left(p\right)=Mass\left(m\right)\times Velocity\left(v\right)$

Mathematically,

If $M$and $m$ are the masses, $V$and $v$ are the velocities of the truck and the car respectively then,

$M>m$

Since it is given that their velocities are equal, therefore $V=v$

$MV>mv$

It is for this reason that the truck will cover more distance before coming to a halt as compared to the car.

Hence, option (B) is correct.