How Is Mechanical Energy Calculated in Thrown Objects?

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SUMMARY

The discussion focuses on calculating mechanical energy for a thrown rubber ball, specifically a 0.50 kg ball at a height of 20 m with a velocity of 15 m/s. The kinetic energy (KE) is calculated as 56 J using the formula Ek = 1/2 mv². The gravitational potential energy (PE) is determined to be 98 J using Eg = mgh. The work done to throw the ball is concluded to be 150 J, based on the conservation of mechanical energy principle.

PREREQUISITES
  • Understanding of kinetic energy formula (Ek = 1/2 mv²)
  • Knowledge of gravitational potential energy formula (Eg = mgh)
  • Familiarity with the concept of work (W = fd)
  • Basic principles of conservation of mechanical energy
NEXT STEPS
  • Study the derivation and applications of the kinetic energy formula
  • Explore gravitational potential energy in various contexts
  • Learn about the work-energy theorem and its implications
  • Investigate real-world applications of conservation of mechanical energy
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Students in physics, educators teaching mechanics, and anyone interested in understanding energy calculations in projectile motion.

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1. Homework Statement

A 0.50 kg rubber ball is thrown into the air. At a height of 20 m above the ground, it is traveling at 15 m/s.
a. what is the balls kinetic energy
b. What is its gravitational potential energy relative to the ground?
c. how much work was done by someone at ground level throwing the ball into the air?
d. What was the speed of the ball when it left the ground?3. The Attempt at a Solution

a. Ek = 1/2 mv2
Ek = 1/2 (0.50kg)(15m/s)
Ek = 1/2 (0.50 kg)(225 m2/s2)
Ek = 1/2 (112.5 J)
Ek = 56 J

b. Eg = mgh
Eg = (0.50kg)(9.80 N/kg)(20m)
Eg = 98 J

c. W = fd
ANSWER = 150
HELP ME PLEASE

d. PLEASE HELP!
 
Last edited:
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For part C, the law of conservation of mechanical energy would say that KE+PE=constant. So the person would need to supply that much energy.
 

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