A truck, a car and a motor cycle have equal kinetic energies. If equal stopping

The correct answer is Option 3 (x = y = z). This result is derived from the Work-Energy Theorem, which states that the work done by a force is equal to the change in kinetic energy of the object.

Mathematically, the relationship is expressed as:

• Work Done (W) = Force (F) × Distance (d)
• Change in Kinetic Energy (ΔKE) = W

In this scenario:

• All three vehicles have equal initial kinetic energies (K).
• To bring them to a stop, the final kinetic energy is zero, so the change in kinetic energy is the same for all (ΔKE = K).
• The problem states that equal stopping forces (F) are applied to each vehicle.

Since K = F × d, and both K and F are identical for the truck, car, and motorcycle, the stopping distance d must also be identical. Therefore, the distances x, y, and z are equal, making Option 3 correct. Mass and velocity do not independently affect the distance when the total kinetic energy and force are pre-defined as equal.