5) A block is pushed across a horizontal surface by the force shown. If the coef

Question

5) A block is pushed across a horizontal surface by the force shown. If the
coefficient of kinetic friction between the block and the surface is 0.30, F = 20 N,
theta = 30degrees, and M = 3.0 kg, what is the magnitude of the acceleration of the block?

5) A block is pushed across a horizontal surface by the force shown. If the coefficient of kinetic friction between the block and the surface is 0.30, F = 20 N, theta = 30degrees, and M = 3.0 kg, what is the magnitude of the acceleration of the block?

Explanation / Answer

N = mg + Fsin30 = 3 x 9.81 + 20sin30 = 39.43 N

friction = u.N

Fcos30 - u.N = Ma

20cos30 - 0.30 x 39.43 = 3a

a = 1.83 m/s2

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