UPSC Prelims 1996·GS1·science-and-technology·science and technology

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

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  1. A$x > y > z$
  2. B$x < y < z$
  3. C$x = y = z$Correct
  4. D$x 4y 8z$

Explanation

The correct answer is C because of the Work Energy Theorem. The theorem states that the work done to stop an object is equal to its initial kinetic energy. Work is calculated as the product of the stopping force and the stopping distance. In this question, all three vehicles have equal kinetic energies. It is also stated that equal stopping forces are applied to each. Since the kinetic energy is the same and the force is the same, the distance required to bring each vehicle to a stop must also be the same. Therefore, the distance covered by the truck, the car, and the motorcycle before they stop will be equal, making x equal to y equal to z. Weight or mass does not change this outcome because the total energy and the opposing force are already defined as equal.
science-and-technology: A truck, a car and a motor cycle have equal kinetic energies. If equal stopping

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