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The position time graph of a body of mass 2 kg is as given in figure. What is the impulse on the body at t = 0 s and t = 4 s.

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प्रश्न

The position time graph of a body of mass 2 kg is as given in figure. What is the impulse on the body at t = 0 s and t = 4 s.

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उत्तर

Given, the mass of the body (m) = 2 kg

From the position-time graph, the body is at x = 0 when t = 0, i.e., body is at rest.

∴ Impulse at t = 0, s = 0, is zero

From t =0 s to t = 4 s, the position-time graph is a straight line, which shows that body moves with uniform velocity.

Beyond t = 4 s, the graph is a straight line parallel to time ads, i.e., the body is at rest (v = 0).

The velocity of the body = slope of a position-time graph

= tan θ = `3/4` m/s

impulse (at t = 4 s) = change in momentum

= mv – mu

= m(v – u)

= `2(0 - 3/4)`

= `- 3/2` kg-m/s = – 1.5 kg-m/s

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अध्याय 5: Laws of Motion - Exercises [पृष्ठ ३३]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
अध्याय 5 Laws of Motion
Exercises | Q 5.18 | पृष्ठ ३३

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