Two masses are being pulled up a frictionless 30.0 degrees incline by a force F parallel to the incline.The acceleration up the incline is 1.00 m/s².The force is applied to a 200 kg mass and a string connects the 200 kg mass to a 150 kg mass.The force F is A) 875 N. B) 980 N. C) 1,140 N. D) 1,720 N. E) 2,070 N.

Question

Quizplus · Accepted Answer

The total force required to accelerate both masses up the incline is the sum of the force needed to overcome gravity and the force needed to accelerate the masses. The gravitational force component along the incline is (m1 + m2) * g * sin(30), and the force needed for acceleration is (m1 + m2) * a. Calculating these gives F = (200 + 150) * 9.8 * 0.5 + (200 + 150) * 1 = 2,070 N.

Two Masses Are Being Pulled Up a Frictionless 30