A child on a RipStik starts from a speed of zero at a vertical height of 0.20 meters above the bottom of a slope. The mass of the child and the RipStik is 25 kg. The acceleration of gravity g is 9.79 m/s².
_________ __________ Calculate the Gravitational Potential Energy of the child and RipStik at the top of the slope.
_________ __________ Use the relationship Kinetic Energy = Gravitational Potential Energy to calculate the speed of the child and the RipStik at the bottom of the slope.
_________ __________ Use the velocity to calculate the momentum of the child and RipStik at the bottom of the slope.
Mathematical models
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Identify by the letter which of the mathematical relationships on the graph represents the time versus distance relationship for a RipStik moving at a constant linear velocity with no acceleration (as in the homework 021 in the second week).
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Identify by the letter which of the mathematical relationships on the graph represents the time versus distance relationship for a ball falling under the constant acceleration of gravity g (as in laboratory three).
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Identify by the letter which of the mathematical relationships on the graph represents the height versus velocity relationship for a marble rolling from a height h down a banana leaf and onto a flat table (as on Wednesday in class, homework 041).
A student rolled a single marble three times into a line of five marbles. The first roll was a slow roll, the second was a fast roll, and the third roll was faster.
The student gathered the following data:
Slow marble in: distance = 24 cm, time = 1.2 seconds.
Slow marble out: distance = 24 cm, time = 1.6 seconds.
Fast marble in: distance = 24 cm, time = 0.75 seconds.
Fast marble out: distance = 24 cm, time = 1.0 seconds.
Faster marble in: distance = 24 cm, time = 0.6 seconds.
Faster marble out: distance = 24 cm, time = 0.8 seconds.
Use the data above to calculate the velocity in and the velocity out. Record the velocities in the table below.
_________ __________ Calculate the slope of the line.
_________ __________ Determine the y-intercept of the line.
___________ Was velocity gained or lost?
_________ __________ For a velocity in of 60 cm/s, what is the predicted velocity out based on the data above?
_________ __________ For a velocity out of 42 cm/s, what is the predicted velocity in based on the data above?
d = ѵt
Gravitational Potential Energy GPE = mgh
acceleration of gravity g = 980 cm/s²
Kinetic Energy KE = ½mѵ²