A truck, a car and a motor cycle have equal kinetic energies. If equal stopping
Reviewed by Dalvoy
UPSC Civil Services preparation
- A$x > y > z$
- B$x < y < z$
- C$x = y = z$Correct
- 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.

Related questions
More UPSC Prelims practice from the same subject and topic.
- Prelims 1996GS1science-and-technology
Which one of the following is a modified stem?
- Prelims 1996GS1science-and-technology
Fat present below the skin surface in our body, acts as a barrier against
- Prelims 1996GS1science-and-technology
Which of the following professional (s) are more likely to run the risk of a permanent change in their cell’s DNA? I. Researchers using carbon-14 isotope II. X-ray technician III. Coal miner IV. Dyer …
- Prelims 1996GS1science-and-technology
Which one of the following is not an essential micronutrient for plants?
- Prelims 1996GS1science-and-technology
Of the four landmarks in medical history given below, which one was the first to take place?
- Prelims 1996GS1science-and-technology
Living organisms require at least 27 elements of which 15 are metals. Among these, those required in major quantities include