How do you find the distance traveled by a mass pulled (by a string) up a plane that has friction? Note: the tension, friction, and gravity force are all known. The angle is known and the initial velocity is known. Thanks!!

Question

anonymous · Answer

$$(V _{f})^{2} = (V _{o})^{2} + 2ad$$$$d = [(V _{f})^{2} - (V _{o})^{2}]/2a$$
Divide the force of gravity by the acceleration of gravity (9.8 ms^2) to find the mass of the object. Use the known force of gravity and angle of incline to find the Gx as shown in the diagram, and add this force to the force of friction. Find the difference between this sum and the force of tension. The resultant should probably be a force pulling the object down the incline. Divide this force by the object's mass to find the acceleration on the object, and then plug the known velocity and object into either of the above equations (they are equivalent) to find the distance traveled by the object once it reaches a final velocity of 0.