# Homework Help: 3 questions on power and energy

1. Apr 29, 2015

### jinkyfishies

1. The problem statement, all variables and given/known data
1. a light pingpong ball and a heavier baseball bat are thrown vertically upwards. compare their initial kinetic energies and initial velocities if both balls reach the same maximum height.

2. a rollercoaster is designed with its first hill of height 75m. at the bottom of the hill the velocity is 33m/s. does the speed at the bottom make sense? explain using a calculation if needed

3. compare the performance of a fast sports car (porsche) to a slower fuel efficient toyota corolla using the concept of power.

2. Relevant equations
ek=1/2mv^2
eg=mgh
p=w/t

3. The attempt at a solution
1. i think the heavier one will have a greater kinetic energy and a higher velocity

2. i think it doesnt make sense because mgh=1/2mv^2
9.81×75=0.5(33^2)
735.75=544.5
since theyre not equal it wouldnt make sense

3. i just have no idea

2. Apr 29, 2015

### phinds

You might want to rethink the velocity part of #1

3. Apr 29, 2015

### jinkyfishies

but if they reach the same heigh, wouldnt that mean you would need more force/a greater velocity on the heavier object? if you gave the same velocity to both id think that would make the heavier one go lower than the light one

4. Apr 29, 2015

### phinds

Why? If you DROP them both they start out with the same velocity. Do you think the heavier one will travel faster?

5. Apr 29, 2015

### Staff: Mentor

I'm not sure about this, but possibly what is intended here is that before climbing the hill the speed is 33m/s. Will that be sufficient to see the car clear the hill?

On the other hand, if it's correct as you interpreted it to be and that 33m/s is the speed after descending the hill, then having less than expected speed could easily be explained by friction losses on the track.

6. Apr 29, 2015

### Brian T

For 3, consider the formula for power and what work represents.

For 2, you are right. The only minor justification would be friction, but even then a well-designed roller coaster would not have that much friction.