Question

A particle of mass m is at rest in a train moving with constant velocity with respect to ground. Now the particle is accelerated by a constant force F0 acting along the direction of motion of train for time t0. A girl in the train and a boy on the ground measure the work done by this force. Which of the following are INCORRECT?

A. Both will measure the same work
B. Boy will measure higher value than the girl
C. Girl will measure higher value than the boy
D. Data is insufficient for the measurement of work done by the force F0

Answer 1

Both observers, the girl in the train and the boy on the ground, will measure the same work done on the particle, as work is independent of the observer's frame of reference. None of the option is follow.

Step-by-step explanation:

The question involves the concept of work done in different frames of reference in physics. When discussing a particle accelerated in a moving train, the work done observed by the girl in the train and the boy on the ground should theoretically be the same, as work is a scalar quantity and is independent of the observer's frame of reference.

The girl would calculate the work done as the force times the distance traveled by the particle in the train, while the boy would include the distance the train has traveled as well, but since the force also does work on the train, the calculations would ultimately yield the same work done in both frames of reference. Therefore, the correct answer is that both the girl and the boy will measure the same work, making option A correct and B and C incorrect. Option D is also incorrect because we have the necessary data to determine that the observers should measure the same amount of work.