A man is trying to push a 75.0 kg rock across the ground by applying a constant force P at an angle θ = 27.5 ̊ below the horizontal. The coefficients of friction between the rock and the ground are μk = 0.430 and μs = 0.570. (a) If the rock is initially at rest, what force does the man need to apply to get it to start moving? (b) If the rock is already in motion, what force does he need to apply to get it accelerate at 2.75 m/s2?

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”