Question

a force of 200 Newton acts in opposite direction of a body moving with uniform velocity and bring it to rest in 0.25 seconds what is the initial momentum of body in KG metre per second

Answer 1

initial momentum is 50kg m / sec

Answer 2

The initial momentum of body is 50 kg-m/s.

Explanation:

It is given that,

Force acting on the body, F = -200 N (in opposite direction)

Final velocity, v = 0 (it comes to rest)

Time, t = 0.25 s

According to Newton's second law of motion, the net force is equal to the rate of change of momentum such that,

$F=\dfrac{dp}{dt}$

$F=\dfrac{m(v-u)}{t}$

v = 0

$F=-\dfrac{mu}{t}$

$F=-\dfrac{mu}{t}$

$mu=F\times t$

$(p_i)=200\times 0.25$

$p_i=50\ kg-m/s$

So, the initial momentum of body is 50 kg-m/s. Hence, this is the required solution.

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