A worker easily pushes a cart loaded with five books each with a mass of 200 g. The worker removes one book from the cart, adds a box with a mass of 250 g, and continues to push the cart with the same force.The motion of the cart after the addition of the box will
Question
A worker easily pushes a cart loaded with five books each with a mass of 200 g. The worker removes one book from the cart, adds a box with a mass of 250 g, and continues to push the cart with the same force.The motion of the cart after the addition of the box will
Solution
The motion of the cart after the addition of the box will remain the same. Here's why:
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Initially, the total mass of the books in the cart is 5 books * 200 g/book = 1000 g or 1 kg.
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The worker removes one book, so the total mass becomes 1 kg - 200 g = 800 g.
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The worker then adds a box with a mass of 250 g, so the total mass becomes 800 g + 250 g = 1050 g or 1.05 kg.
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The worker continues to push the cart with the same force. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
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Since the force remains the same and the mass has only slightly increased, the acceleration (and therefore the motion) of the cart will remain largely the same. The cart might move slightly slower due to the increased mass, but the difference would be negligible.
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