Question

Two cars $A$ and $B$ have masses $m_A$ and $m_B$ respectively, with $m_A>m_B$. Both the cars are moving in the same direction with equal kinetic energy. If equal braking force is applied on both, then before coming to rest.

• A. $A$ will cover a greater distance
• B. $B$ will cover a greater distance
• C. Both will cover the same distance
• D. Distance covered by them will depend on their respective velocities

Answer 1

The correct option is B $B$ will cover a greater distance

Kinetic energy $K=\frac{1}{2}m{v}^2$

Since, $m_A>m_B$ and both the cars move with same kinetic energy,

$⟹v_A<v_B$

Also, both the car with retard with same acceleration because of equal braking force before coming to rest.

So, car B will cover a greater distance than car A.