ExamBro
ExamBro
AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

A force-time \((F-t)\) graph for a linear motionis shown in following figure. The segments shown are circular. The linear momentum gained between 0 and \(8 \mathrm{~s}\) is

  1. A \(-2 \pi N s\)
  2. B \(0\)
  3. C \(4 \pi \mathrm{Ns}\)
  4. D \(6 \pi \mathrm{Ns}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0\)

Step-by-step Solution

Detailed explanation

From graph, the force is varying sinusoidally with time by equation, \(F=-2 \cdot \cos \omega t\) ...(i) where, \(\omega\) be the angular frequency of variation of force. Since, the graph is completing one cycle in \(8 \mathrm{~s}\), hence time period, \(T=8 \mathrm{~s}\) Using…