Question

Figure above shows the position-time graph of a body of mass $0.04$ $kg$. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse?

Answer 1

Instant of impulses are the sharp points on the graph.

From the graph, the time between two consecutive impulses = 2s.

$v=\frac{dx}{dt}=slope$

For positive slope region, $v=2/2=1cm/s$ in positive x direction

For negative slope region, $v=-\left(2/2\right)=1cm/s$ in negative x direction

Impulse $=$ Change in momentum

Magnitude of impulse $=0.04\times (1-(-1)\times {10}^{-2})=0.8\times {10}^{-3}Ns$