1) Find the magnitude of the force exerted by cart B on cart A: 2) Find the magn

Question

1) Find the magnitude of the force exerted by cart B on cart A:

2) Find the magnitude of the force exerted by the hand on cart A:

Two freely rolling carts, A and B, are pushed along a frictionless track, with cart A being pushed by someone's hand, and cart B being pushed by cart A. cart A has mass = 0.90 kg and cart B has mass = 2.07 kg. The acceleration of the carts is a = 1.00 m/s2. The acceleration of gravity g = 9.81 m/s2 1) Find the magnitude of the force exerted by cart B on cart A: 2) Find the magnitude of the force exerted by the hand on cart A:

Explanation / Answer

acceleration of both the carts = 1m/s2

since on cart B ,the force is exerted only by cart A

ma = F

force = 2.07*1 N = 2.07N

since force on cart A due to B and force on cart B due to A are action reaction pairs

Force exerted by B on A = 2.07N

2) from the free body diagram of cart A we can say that

F - 2.07 = 0.9*1N

F = 2.97N

force exerted by hand on A is 2.97N

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