From Newton's laws of motion, the acceleration of the
glider is given by

where *m*_{1}
is the mass of the cart and the black block together (so the total mass sliding on
the track), *m*_{2} is the mass
of the weight hanger and any weights placed on it (the hanging mass) and g is
the local value for the acceleration due to gravity, or ** 9.7963 m/s ^{2}**.

A. Use
the null hypothesis to determine how well your 2 values for the acceleration of
the cart, obtained in the experiment, agree with one another. You are looking
for consistency within experiments (a test of kinematics).**
Is the difference between the two values statistically significant?**

B.
Use
the null hypothesis to determine how well your pair of experimental values for
the acceleration of the cart agrees with the theoretical value. **Can
you think of some factors that might be responsible for a systematic difference
between theoretical and measured values? Do you think a lighter or heavier cart would yield better agreement with the theoretical values for the
acceleration? Can you think of a reason why this might be the case?**

**Note: there are two graphs and three null tests required:**

1. Experimental Value (1) with Experimental Value (2)

2. Experimental Value (1) with Theory

3. Experimental Value (2) with Theory