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 what?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 114AP: A 15-kg sled is pulled across a horizontal, snow-covered surface by a force appiled to a rope at 30...
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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 what?

 

This is the explanation a got, but I don't understand it. Can you explain it please?

For force equilibrium,

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

1715 - F - 594.69 = 350;

F = 771N

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