What is the mass of block X?
Block A of mass 8.0 kg and block X are attached to a rope that passes over a pulley. A 50-N force P is applied horizontally to block A, keeping it in contact with a rough vertical face. The coefficients of static and kinetic friction between the wall and block A are μs = 0.40 and μk = 0.30. The pulley is light and frictionless. In the figure, the mass of block X is adjusted until block A descends at constant velocity of 4.75 cm/s when it is set into motion. What is the mass of block X?
A - 6.5 kg
B - 7.2 kg
C - 9.5 kg
D - 8.8 kg
E - 8.0 kg
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1
Expert's answer
2013-01-30T07:47:04-0500
The velocity is constant, thusthe net force is zero. mA * g - T - μk*P = 0 T = mX * g;
mX = (mA*g - μk*P) / g = (8 kg * 9.8 m/s^2 - 0.3 * 50 N) / (9.8 m/s^2) = 6.469 kg.
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