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in Physics by (49.4k points)

Figure shows the position-time graph of a particle of mass 4 kg. What is the

1. force on the particle for t < 0, t > 4 s, 0 < t < 4 s? 

2. impulse at t = 0 and t = 4 s? (Consider onedimensional motion only)

1 Answer

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Best answer

1. From the position time graph we can see that the particle is in rest during t < 0 and t > 4. Hence net force on it is zero t < 0, t > 4 s. During 0 < t < 4; the graph has a constant slope i.e, particle has uniform velocity = 3/4 = 0.75 m/s.

Hence net force is zero.

2. at t = 0 u = 0 v = 0.75

impulse = change in momentum

= M (v – u) = 4 (0.75 – 0)

= 3 kg m/s

at t = 4, u = 0.75 v = 0

impulse = 4 (0 – 0.75) = – 3 kg m/s.

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