A girl of mass 40kg jumps with a horizontal velocity of 5m/s on to a stationary cart with frictionless wheels. The mass of the cart is 10kg. The girl and the cart move off together in the same straight line. Calculate the velocity with which the girl and the cart move. Assume that there is no external unbalanced force working in the horizontal direction

Question

Nevaeh

Physics

20 April, 02:26

A girl of mass 40kg jumps with a horizontal velocity of 5m/s on to a stationary cart with frictionless wheels. The mass of the cart is 10kg. The girl and the cart move off together in the same straight line. Calculate the velocity with which the girl and the cart move. Assume that there is no external unbalanced force working in the horizontal direction

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Teagan Sexton · Answer 1

4 m/s

Explanation:

Momentum is conserved:

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

(40 kg) (5 m/s) + (10 kg) (0 m/s) = (40 kg) v + (10 kg) v

200 kgm/s = 50 kg v

v = 4 m/s