A truck, a car and a motorcycle have equal kinetic energies. If equal, stopping forces are applied and they stop after travelling a distance of X, Y and Z respectively, then
A. X > Y > Z
B. X < Y < Z
C. X - Y = Z
D. X ≅ 4Y ≅ 8Z
E. X = Y = Z
Answer: Option C
Solution (By Examveda Team)
The work done by the stopping force in bringing a body to rest is equal to its initial kinetic energy.Work done = Force × Distance = Kinetic Energy
If the same retarding force is applied to the truck, car, and motorcycle, and all three have the same kinetic energy, then:
Distance travelled before stopping = KE / Force
Since KE is equal for all and Force is also equal, the stopping distance will be the same for each vehicle.
Therefore:
X = Y = Z
Hence, the correct option is E.
This Question Belongs to Physics GK Chapter Wise >> Work, Energy And Power
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answer should be X = Y = Z