Question

A particle of mass 500 g is at rest. It is free to move along a straight line. The power delivered to the particle varies with time according to the following graph:

• A. \( 2 \, \text{J/s} \)
• B. \( 5 \, \text{J/s} \)
• C. \( 5 \, \text{N} \)
• D. \( 5.5 \, \text{N} \)

Answer 1

The Correct Option is D

From the graph, we observe that the area under the power-time graph represents the work done on the particle.
The momentum \( p \) of the particle at time \( t = 5 \, \text{s} \) can be calculated from the work done. 
Using the relationship \(p^2 = 2 \times 500 \times 10^3\), the momentum is found to be \(5 \), \(\text{kg.m/s}\) . 
The corresponding force is \(5.5 , \text{N} .\)