As shown below, a block of mass 2.00 kg is placed on top of a larger block of ma

Question

As shown below, a block of mass 2.00 kg is placed on top of a larger block of mass 20.0 kg, and the two-block system rests on a horizontal surface. The between the larger block and the surface, with static and kinetic friction coefficients ofAs 0.300 and Ax-0.200, respectively. As shown below, a hori g = 10 m/s, and try doing this problem without a calculator. Im (a) If the blocks are initially at rest, what is the minimum value of the horizontal force F necessary to start the system moving? (b) Once the blocks are moving, what is the minimum value of the horizontal force F necessary to keep the system moving at constant velocity? (c) Once the blocks are moving, what is the maximum value the horizontal force F can be such that the small block does not slide on the largeb

Explanation / Answer

(A) that force will be equal to the maximum static friction force.

F = us N = us (M + m)g

F = (0.300) (22)(10)

F = 66 N

(B) to keep moving, F = uk N = uk (M + m) g

F = 44 N

(C) maximum acc. m can have = us g = 3 m/s^2

F - 44 = (22)(3)

F = 110 N

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