Question

A force 10 N is acting on the body and making it displace 10 cm in a direction at an angle 30 degree in 5 seconds.
a. calculate change in momentum of the body.


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Answer 1

Answer

given,

Force = 10 N

displacement  = 10 cm = 0.1 m

time = 5 second

angle  = 30°

F cos θ = m a

m a = 10 cos 30°

ma = 8.66

$a = \dfrac{8.66}{m}$

$s = ut + \dfrac{1}{2}at^2$

$0.1 = 0 + \dfrac{1}{2}(\dfrac{8.66}{m})5^2$

$m = 0 + \dfrac{1}{2}(\dfrac{8.66}{0.1})5^2$

m = 1082.5 Kg

v = u + a t

$v = 0 + \dfrac{8.66}{m} \times 5$

$v = \dfrac{43.3}{m}$

momentum

     = m v

     = $\dfrac{43.3}{m}\times m$

     = 43.3 kg m/s