Question

a girl of mass 30 kg jumps on a cart of mass 5 kg with a velocity of 10m/s.find the velocity with which she and cart start moving after she jumps on it

Answer 1

Answer in attachment.
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Answer 2

Given,

For girl,

m = 30kg

u = 10m/s

For boy,

m = 5kg

u = 0m/s

We have to find the common final velocity, v

Using law of conservation of momentum,

m1u1 + m2u2 = m1v1 + m2v2

30×10 + 5×0 = 30×v + 5×v

300 + 0 = 30v + 5v

300 = 35v

v = 300/35

v = 8.57 m/s

The final common velocity of girl and cart is 8.57 m/s.

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