1) Two masses are being pulled up a 30.0-degree incline by a force F parallel to

Question

1) Two masses are being pulled up a 30.0-degree incline by a force F parallel to the incline. The acceleration down the incline is 1.00 m/s2 and the velocity is down the incline. The force is applied to a 200-kg mass and a string connects the 200-kg mass to a 150-kg mass. The coefficient of kinetic friction is 0.200. The force F is
A) 771 N.
B) 875 N.
C) 1,050 N.
D) 1,960 N.
E) 2,330 N.

2) Two masses are being pulled up a 30.0-degree incline by a force F parallel to the incline. The acceleration up the incline is 1.00 m/s2 and the velocity is down the incline. The force is applied to a 200-kg mass and a string connects the 200-kg mass to a 150-kg mass. The coefficient of kinetic friction is 0.200. The force F is
A) 2,660 N.
B) 1,530 N.
C) 1,470 N.
D) 980 N.
E) 750 N.

Explanation / Answer

For force equilibrium,

W sin 30 - F - uWcos(30) = Ma

1715 - F - 594.69 = 350;

F = 771N

Using Force equilibrium

W sin 30 - F - uWcos(30) = -Ma

1725 - F - 594.69 = -350

Thus, F= 1470N

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