Jump Launch Velocity from Impulse
- lab sheet and writing utensil
- spreadsheet and graphing software
- for distance learners, access to online forums, videos, and help features for the spreadsheet software will likely be necessary
- Digital Force Plate + computer with sensor control and analysis software
- Camera with slow-motion capability
Place a piece of tape on the jumper’s center of mass so that you can use a camera with slow-motion capability to record the change in height of the their center of mass during the jump. You may need to look up some information on where the center of mass should be for your jumper. Cite your sources here:
We will use a force plate to measure the normal force applied to the jumper’s feet. Have the jumper stand on the force plate and push the zero button. Now the force plate will read the difference between the normal force and their weight, which is the net force acting on them.
Have the jumper practice jumping and landing on the force plate while trying to keep their arms in the same position during the jump so that the location of their center of mass doesn’t change much throughout the jump.
Now record the height of the center of mass throughout a jump and landing while recording the normal force on the person.
Record the change in height here, we will use that later:__________. Keep your video recording for later use as well.
Applying Impulse-Momentum to the Entire Jump
What was change in momentum for the person over the entire jump, from starting at rest, through launch phase, in the air phase, landing phase, and finishing at rest.
Based on your answer above and the impulse-momentum theorem, what should the total impulse on the person have been for the overall jump?
Based on your previous answer what should the average force on the person be for the entire jump?
Use the force data to calculate the average force applied to the person throughout the entire jump. Does the result agree with you answer? Explain.
Applying Impulse-Momentum During Launch Phase
Use the force data to calculate the average force applied to the person from the start of their jumping movement until they leave the platform. Record here:
Also record the peak force during this launch phase of the jump (for later use):
Record the time interval used in this average. (The time over which the launch phase lasted.)
Calculate the impulse applied to the person during the launch phase of the jump.
According to the impulse-momentum theorem, what change in momentum should the person experience during the launch phase?
Determining Launch Velocity
Use this result to calculate the velocity of the person as they leave the platform at the end of the launch phase.
If the person begins the air phase of the jump with the velocity you found above, how long will it take for their velocity to become zero at the peak of their jump? The acceleration during this phase should be constant at –g = -9.8 m/s/s so you can use the definition of average acceleration to answer this question.
Based on your answer above, what will the hang time be? (Total time in the air).
Does that answer agree with the hang time recorded by your force plate? Explain.
Verification of Methods
Based on the level of agreement between expected and observed hang time, do you think that using the impulse-momentum theorem to predict the launch velocity from the impulse data was reasonable? Explain.