A block is pulled horizontally along a rough table by a force that is increased…

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A 2.0 kg2.0\,\text{kg} block is pulled horizontally along a rough table by a force that is increased steadily from 0 N0\,\text{N} to 15 N15\,\text{N}. The coefficients of friction are μs=0.40\mu_s = 0.40 and μk=0.30\mu_k = 0.30. Ignore all other forces. (a) Calculate the normal force exerted by the table on the block. (b) Determine the maximum possible magnitude of the static friction force acting on the block. (c) On clearly labeled axes, construct a piece-wise quantitative plot of the magnitude of the friction force versus the applied force from 0 N0\,\text{N} to 15 N15\,\text{N}. Indicate the exact coordinates of every corner point on the curve. (d) Once the applied force reaches 12 N12\,\text{N}, what is the magnitude of the block’s acceleration? Show all steps. (e) Using your graph, explain why the portion of the curve beyond the breakaway point is horizontal rather than slanted.

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