Concepts Of Physics MCQ Edition [Volume 1]PhysicsWork and Energy
Two observers are moving relative to one another at a speed v along a straight line. They watch a block of mass m travelling a distance l over a rough surface. Which of the following quantities will be identical as measured by the two observers?
Options
- AWork done by friction
- BTotal work done on the block
- CAcceleration of the block
- DKinetic energy of the block at time t
Correct answer
C. Acceleration of the block
Step-by-step solution
Since the two observers are moving relative to each other at a constant speed v , they are in different inertial frames of reference. According to Galilean relativity, the acceleration of an object is invariant across all inertial frames. If u and u' are the velocities of the block measured by the two observers, they are related by u' = u - v . Differentiating with respect to time t , we get du' dt = du dt since v is constant. Thus, a' = a . The displacement of the block depends on the frame of reference. Consequen