1. Above a plane inclined 15° is a cart with weight connects to a bucket with weight w₂. Assume that there is no friction on the plane and the mass of the rope is negligible. The system moves with constant speed. Cart 15° W₂ Bucket a. Draw the free-body diagram of the cart and the bucket. b. Write the equations of motion (x-axis) for the cart and (y-axis) for the bucket. c. If the mass of the bucket is 1.5kg. What is the weight of the cart? 3. A 50.0 kg block of wood is initially pushed horizontally by a force of 250. N. The coefficient of static friction between the block and the floor is 0.800. Will the block of wood move? Explain your answer.

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