Is is possible the weights hanging down are hooked to the cars?
Is is possible that the distance up the ramp is L, and all are the same?
Is is possible the weights hanging down have weight Mg, and they are all the same?
Is there three cars, or one car? Assuming the same car, mass m.
Is is possible the initial velocity each time is zero?
Initial energy:
mg*0+Mg*L*sinTheta
Final energy:
mg*LsinTheta-MgLsinTheta+1/2 (m+M)vf^2
set intial energy = final energy, and solve for Vf.
However, you need to check what I assumed, you were pretty vague on the experimental setup.
Derive a function that gives the final speed of the cart as a function of the masses, ramp angle and distance up the ramp that the cart moves. Use conservation of energy to do this-no kinematics or Newton's Laws.
I have 3 trials ,, 3 angles and 3 masses ( cart moving up the ramp ) and weights haging down a rope that passes through a pully.
I can't use this equation V = sqr 2gh ,, because then all of the final velocities of the 3 trials are equal.
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