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## Homework Statement

Draw a diagram showing the forces acting on each block and use Newton's 2nd law to derive the equation for acceleration of the blocks and the tension in the string.

Compare the acceleration of the equation above and the general equation for a straight line to prove that the graph you made should be a straight line. Use this to show what the slope and y -int. of the graph should be in terms of 'g' and 'M_total.' M_total is the mass of the whole system (we assume the thread that traveled throughout the pulley was negligble and this system used a frictionless surface).

## Homework Equations

For deriving acceleration and tension, I used the equations T = m2a and -T + m1g = m1a. Then, m1g = m1a + m2a and then I solved for 'a'.

I believe these equations are correct but I am not sure how I am supposed to prove this is a straight line and what the slope and y int of the graph should be in terms of g and M_total. The equation I got from my data using the line of best fit is Y = 21.4x + 0.0139 and my mass (kg) was on the x and the acceleration (m/s^2) on the y.

## The Attempt at a Solution

The above ^^.