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The position time graph of a body of mas...

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

Verified by Experts

Given , mass of the body (m) = 2kg
From the position- time graph , the body is at x = 0 when t = 0 i.e., body is at rest .
`therefore` 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 = 4s , the graph is a straight line parallel to time axis , i.e., body is at rest (v=0).
Velocity of the body = slope of position-time graph
= tan `theta = (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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Knowledge Check

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