**Purpose:**

This experiment is intended to predict where a ball will land on the floor after rolling down a ramp on a table from different angles.

**Procedure:**

- Assemble a sturdy ramp at a 30
^{o }angle on top of a table. - Predict where the ball will land.
- Calculate the horizontal velocity of the ball at the base of the ramp.
- Measure the vertical height of the table and the ramp using string, a measuring stick, and a plumb line.
- Calculate the time that the ball will take to fall from the base of the ramp to the floor.
- Calculate the range of the ball.
- Tape a circle on the floor where you predict the ball will land.
- Roll the ball down the ramp.
- Measure how far the ball struck from the circle.
- Measure the ball’s actual range.
- Record the ball’s mass.
- Calculate the ball’s potential energy at the top of the ramp.
- Calculate the ball’s kinetic energy at the base of the ramp.
- Calculate the mechanical energy lost by the rolling ball.
- Use the energy lost to determine what angle the ramp needs to be positioned in order to hit the circle.
- Calculate the time needed for the ball to reach the bulls-eye.
- Measure the height from the base of the ramp to the floor.
- Repeat Step 8.
- Repeat steps 12-14.
- Calculate the time the ball spent in the air during the second trial using kinematics.
- Calculate the percent difference between the two trials.