How Much Force Does a Lift Chain Apply to a Roller Coaster?

[smoothmar]

Homework Statement

THe length that the train is pulled up the lift hill is 120 meters. How much force did the lift chain apply to the coaster to pull it up the hill. Mass of the roller coaster = 4140 kg θ = 66°

Homework Equations

The Attempt at a Solution

I Tried F=ma to get (4140kg)(9.8m/s) = 40572N then (40572N)cos(66° to get 16502. i do not know if that is correct. Help is needed please

 

[rude man]

force times distance = work = ? (hint: has to do with the 120m and the 66 deg.)

 

[CWatters]

THe length that the train is pulled up the lift hill is 120 meters. How much force did the lift chain apply to the coaster to pull it up the hill. Mass of the roller coaster = 4140 kg θ = 66°

Draw the diagram.

Check where the angle 66 degrees is measured. eg is it cos(66) or sin(66) you need.

The 120m doesn't need to feature in the calculation. That's probably for another part of the question.

 

[rude man]

Draw the diagram.

Check where the angle 66 degrees is measured. eg is it cos(66) or sin(66) you need.

The 120m doesn't need to feature in the calculation. That's probably for another part of the question.

Oh, right.