Force+example

Problem 1 Black Board the pirate needs to pull a chest of booty up a 30 degree incline. Because Black Board is physics pirate, he decides to use an invisible pulley with a visible wheel and a counter balanced to pull the the chest up. If the chest has a mass of 300kg and the counter balance has a mass of 50kg, what additional force does Black Board need to exert on the chest to move up the incline with a constant velocity (how much force does Black Board need to exert on the chest).

Mass of Chest = 300 kg Mass of Counter Balance = 50 kg Angle of board = 30º Forces on chest - Tension, Gravity, Normal Forces on Counter Balance - Tension, Gravity

m(chest)gsin(30) + N + T = netForce(chest) -1500N + 1500N + 2598N = 2598N(chest)

-T + m(counter)g = netForce(counter) -500N + 500N = 0N(counter)

mg(chest)gsin(30) + N + T(chest) - T(counter) + m(counter)g = F(Black Board) -1500N + 1500N + 2598N - 500N + 500N = 2598N 2598N = F(Black Board)

~Chris WIley & P Lyons~