Two masses are being pulled up a 30.0 degrees incline by a force F parallel to the incline.The acceleration up the incline is 1.00 m/s² and the velocity is up 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 tension in the string is A) 2,660 N. B) 1,140 N. C) 980 N. D) 875 N. E) 633 N.

Question

Quizplus · Accepted Answer

First, we need to find the force F applied to the 200 kg mass: 
F - friction force = m1*a 
F - 0.2*m1*g*sin(30) = m1*a 
F = m1*a + 0.2*m1*g*sin(30) 
F = 200*1 + 0.2*200*9.81*sin(30) 
F = 686.4 N

Next, we need to find the tension in the string: 
T - friction force = m2*a 
T - 0.2*m2*g*sin(30) = m2*a 
T = m2*a + 0.2*m2*g*sin(30) 
T = 150*1 + 0.2*150*9.81*sin(30) 
T = 570.6 N

Therefore, the tension in the string is 570.6 N, which corresponds to choice B.

Two Masses Are Being Pulled Up a 30