Couple of v. important problems

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SUMMARY

The discussion addresses two physics problems involving kinetic energy and potential energy. The first problem involves a 70g tennis ball that falls 2 meters and bounces back to a height of 1.9 meters, prompting calculations of its kinetic energy at various points. The second problem concerns a car traveling at 75 km/h up a hill, requiring the application of conservation of energy principles to determine the maximum height the car can reach, given a gravitational acceleration of 9.8 m/s².

PREREQUISITES
  • Understanding of kinetic energy formulas (KE = 0.5 * m * v²)
  • Knowledge of potential energy concepts (PE = m * g * h)
  • Familiarity with the principles of conservation of energy
  • Basic understanding of units of measurement (grams, meters, kilometers per hour)
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  • Research the calculation of kinetic energy for moving objects
  • Learn about potential energy and its relation to height and mass
  • Explore the concept of energy conservation in mechanical systems
  • Investigate the effects of gravity on objects in motion
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Clef
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there's a couple of problems that i have to give in at the end of this lunctime that i just can't work out how to approach or what formulas to use:

1. A 70g tennis ball falls 2 meters and bounces back up to a height of 1.9 meters
(a)How much kinetic energy does the tennis ball have?

(b)the ball compresses 10cm for a period of 2 seconds, what is the kinetic energy of the ball during this time?

2) a car is traveling at 75km/h up a hill. Assuming that gravity =9.8 ms-2, what is the maximum height that the car wil reach?
 
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Clef said:
there's a couple of problems that i have to give in at the end of this lunctime that i just can't work out how to approach or what formulas to use:

1. A 70g tennis ball falls 2 meters and bounces back up to a height of 1.9 meters
(a)How much kinetic energy does the tennis ball have?
Is the ball moving at the top of the bounce?
(b)the ball compresses 10cm for a period of 2 seconds, what is the kinetic energy of the ball during this time?
Is this really the question? How can a 7 cm diameter object compress 10 cm? Anyway, same analysis. Is the ball moving while it is compressed?
2) a car is traveling at 75km/h up a hill. Assuming that gravity =9.8 ms-2, what is the maximum height that the car wil reach?
By height, it means "altitude above starting position." Consider conservation of energy: KE becomes PE.
 

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