A boy of mass 40 kg jumps with a horizontal velocity of 5 ms-1 onto a stationary cart with frictionless wheels. The mass of the cart is 3 kg. What is his velocity as the cart starts moving? Assume that there is no external unbalanced force working in horizontal direction
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Solution
Given,
let velocity "v" of the girl on the cat as the cart start moving .
the total momentum of the girl and cart before the interaction
= 40kg × 5 ms^-1 +3kg × 0ms^-1
= 200kgms^-1
Now,
total Momentum after the interaction -
= (40+3)kg × v m s^-1
= 43 v ms^-1
Then,
according to the law of conservation of momentum the total Momentum is conserved during the interaction that is ;
43v = 200
=> v =200/43
=> v = 4.65 ms^-1
the girl on cart move with a velocity 4.65ms^-1 and in the direction in which the girl jumped .
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