Suppose you are skate-boarding back and forth on a half-pipe as shown below. You
ID: 1492217 • Letter: S
Question
Suppose you are skate-boarding back and forth on a half-pipe as shown below. You skate as fast as you can down and back up the pipe, and when you get to the top of each side you show off with your favorite tricks as you turn around and start back down the pipe again. Rank your kinetic energy at the designated points on the half-pipe, from smallest to largest.
1 out of 2 attempts Suppose you are skate-boarding back and forth on a half-pipe as shown below. You skate as fast as you can down and back up the pipe, and when you get to the top of eaclh side you show off with your favorite tricks as you turn around and start back down the pipe again. Rank your kinetic energy at the designated points on the half-pipe, from smallest to largest. Rank your kineic energy at the designated points on the half- pipe, from Smallest LargestExplanation / Answer
The increasing order is : a = e < b < d < c, where a and c have the same minimum Kinetic energies and 'c' has the highest. The explanation is given below
Conservation of energy : It states that the total energy of the system always stays constant. So if the potential energy decreases then the kinetic energy should increase by the same amount. Potential energy is directly proportional to the height of the object, in our case it is the person who is skating.
So at points a and e, we are at same height and at highest position, so our potential energy is maximum, therefore kinetic energy is minimum.
At point 'b' potenital energy decreased a bit, so kinetic energy increases a bit
At point 'd' , potential energy decreases further, so kinetic energy increases further
finally at point 'c', we are at the lowest point, so the potential energy is minimum, therefore the kinetic energy is maximum.
So the increasing order of Kinetic energies are : a = e < b < d < c
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