A student drags a sled along a frozen lake by pulling a rope that is parallel to the…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A student drags a 15 kg15\,\text{kg} sled along a frozen lake by pulling a rope that is parallel to the ice surface. The pull is a steady 60 N60\,\text{N} toward the east, while sliding friction on the ice opposes the motion with a force of 15 N15\,\text{N} toward the west. (i) Draw a clear, labelled free-body diagram of the sled showing all horizontal and vertical forces. (ii) Calculate the net horizontal force acting on the sled and state whether the forces are balanced or unbalanced. (iii) Determine the acceleration of the sled. (iv) If the sled starts from rest, find its speed after 4 s4\,\text{s} of being pulled. (v) The student’s friend now helps by exerting an additional force of 40 N40\,\text{N} in the same direction. Keeping all other forces unchanged, calculate the new acceleration of the sled.

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