question_answer 23)

Fig. 5.131 below shows the position-time graph of a particle of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the particle ? What is the magnitude of each impulse ?    

Answer:

. Fig. 5.131 shows that (z) the direction of motion of the particle changes after every 2 s and (ii) in both directions, the particle moves with a uniform speed. Before t = 2 s, velocity of the particle, u = Slope of  graph   After t = 2 s, velocity of the particle,   Mass of particle, m = 0.04 kg. At t = 2 s, magnitude of impulse = Change in momentum = m (u - v)   . The given x-t graph may represent the repeated rebounding of a particle between two walls situated at  and  cm. The particle receives an impulse of  after every 2 s.