Apply Newton\'s Second Law to write out the algebraic equation relating forces a

Question

Apply Newton's Second Law to write out the algebraic equation relating forces and accelerations for the cart and the hanging mass separately. Solve for acceleration in terms of mass of cart, the hanging mass, and any other constants. Solve for the tension in the rope in terms of the mass of cart, the hanging mass, and any other constants.

This is part of a lab that looks like this (the only constant changed is the weight)

Mass of Hanging Weight (M2) Acceleration of Car (M1) 50g 0.31 100g 1.248 125g 1.185 150g 1.305 Apply Newton's Second Law to write out the algebraic equation relating forces and accelerations for the cart and the hanging mass separately. Solve for acceleration in terms of mass of cart, the hanging mass, and any other constants. Solve for the tension in the rope in terms of the mass of cart, the hanging mass, and any other constants. This is part of a lab that looks like this (the only constant changed is the weight) Mass of Hanging Weight (M2) Acceleration of Car (M1)

Explanation / Answer

for M1

T = M1*a...........(1)

for M2

M2g - T = M2*a........(2)

M2*g - M1*a = M2*a

a = M2*g/(M1+M2)

T = M1*a = M1*M2*g/(M1+M2)

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