Work and Energy The following questions relate to the diagram below: Height (nm)

Question

Work and Energy The following questions relate to the diagram below: Height (nm) 100 90 80 70 60 50 5k 30 10 H-0 1. Calculate the gravitational potential energy of the 5 kg ball in the figure using H=0 as the reference point. 2. If the ball were dropped from a height of 80 m, at what position would its gravitational potential energy be one quarter of what it was originally? 3, How much gravitational potential energy was lost in #2? What happened to it? 4. What is the instantaneous kinetic energy at H-20 m after the ball is dropped from its original height? 5. Compare the gravitational potential energy lost in #3 to the kinetic energy in #4 What conclusions may you make about gravitational potential energy and kinetic energy for objects in free fall without air resistance? 6. Place a 10 kg object in the diagram above so that it has the same amount of gravitational potential energy as object 1. Number it as 10 kg 7. Place a 20 kg object in the diagram above so that it has the same amount of gravitational potential energy as object 1. Number it as 20 kg. 8. Place a 25 kg object in the diagram above so that it has the same amount of 9. Rank the instantaneous kinetic energy of the 5 kg, 10 kg, 20 kg, and 25 kg balls 10. Calculate the instantaneous velocity of each ball at H=0. gravitational potential energy as object 1. Number it as 25 kg. from greatest to least when they each reach H=0 after being dropped

Explanation / Answer

9)
Using Energy Conservation
Initial Potential Energy = Final Kinetic Energy
m*g*h = K.E

So,
For 5kg
K.E = 5*9.8*80 = 3920 J

For 10kg
K.E = 10*9.8*40 = 3920 J

For 20kg
K.E = 20*9.8*20 = 3920 J

For 25kg
K.E = 25*9.8*16 = 3920 J

This means they all will have same Kinetic Energy when they Reach Grounf, H=0.

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