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# Mechanical Energy and Air Resistance

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#1. Is it possible for one object to gain mechanical energy from another without touching it? Explain.

#2. A ball is thrown straight upward on the Moon. Is the maximum height it reaches less than, equal to, or greater than the maximum height reached by a ball thrown upward on the Earth with the same initial speed (no air resistance in both cases)? Explain.

https://brainmass.com/physics/coulombs-law/mechanical-energy-and-air-resistance-87474

#### Solution Summary

This solution contains examples of when an object can gain mechanical energy like in gravitation, electrostatics, and magnetism. It also calculates if the maximum height is less than, equal to, or greater than the maximum height reach by the ball.

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## Kinetic Energy and Potential Energy.

In this simulation, an object traverses the "hills and valleys" of a frictionless roller coaster in the realm of zero air resistance. You will be asked to find measurements and make calculations concerning total mechanical energy and whether it is conserved. Then you will then make some changes to the global air resistance for this simulation and answer the same questions as you did previously.

I took these calculations from the simulation
Ball Position PE KE TE or E
(-3.61,2.94) t=.10s 0.59J 0.01 0.60
(-.77,.27)
t=.72s 0.05J 0.55 0.60
(.43,1.15)
t=.88s 0.23J 0.37 0.60
(1.93, 2.02)
t=1.12s 0.40J 0.20 0.60
(2.80, 1.44)
t=1.30s 0.29J 0.31 0.60
(3.74, 2.88)
t=2.00s 0.58J 0.02 0.60

Is the total energy (T.E.) conserved in every case (within experimental error)? [If not, where did the missing energy go?] How do I go about figuring this out???

The mass of the ball is changed from 0.01 kg to 1.0 kg
Ball Position PE KE TE or E
(-3.61,2.94) t=.10s 58.89J 1.41 60.30
(-.77,.27)
t=.72s 5.40J 54.89 60.29
(.43,1.15)
t=.88s 23.06J 37.24 60.30
(1.93, 2.02)
t=1.12s 40.47J 19.83 60.30
(2.80, 1.44)
t=1.30s 28.89J 31.41 60.30
(3.74, 2.88)
t=2.00s 57.68J 2.47 60.15

Is the total energy (T.E.) conserved in every case (within experimental error)? [If not, where did the missing energy go?]

The air resistance on the ball changed from 0.0 to 0.05 kg/m*s. The mass is 0.01kg
Ball Position PE KE TE or E
(-3.62,2.95)
t=.10s 0.59J 0.01 0.60
(-1.57, 0.59)
t=.72s 0.12J 0.29 0.41
(0.47, 0.33)
t=.88s 0.07J 0.24 0.31
(0.36, 1.07)
t=1.12s 0.21J 0.03 0.25
(0.48, 1.22)
t=1.30s 0.24J 1.93e^-003 0.25
(-1.38, 0.53)
t=2.00s 0.11J 0.04 0.15

Is the total energy (T.E.) conserved in every case (within experimental error)? [If not where did the missing energy go?]

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