What is the initial kinetic energy of the softball as it leaves your hand?

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SUMMARY

The initial kinetic energy of a softball thrown straight up can be calculated using the formula KE = 1/2 * mass * velocity^2. Given a mass of 0.350 kg and a maximum altitude of 5.8 m, the gravitational potential energy at the highest point is 19.894 Joules. Assuming no energy loss, this value represents the initial kinetic energy as the ball leaves the hand. The total energy remains constant throughout the motion, confirming that the kinetic energy at launch equals the potential energy at maximum height.

PREREQUISITES
  • Understanding of basic physics concepts such as kinetic energy and potential energy
  • Familiarity with the equations for kinetic energy (KE) and potential energy (PE)
  • Knowledge of gravitational force and its effect on objects in motion
  • Ability to perform calculations involving mass, height, and velocity
NEXT STEPS
  • Study the derivation and application of the kinetic energy formula KE = 1/2 * mass * velocity^2
  • Explore gravitational potential energy calculations using PE = mass * gravity * height
  • Investigate energy conservation principles in physics
  • Learn about projectile motion and its equations
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of energy conservation and motion in projectile dynamics.

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002 (part 1 of 4)
You throw a softball (of mass .350 kg) straight
up into the air. It reaches amaximum altitude
of 5.8 m and then returns to you.
What is the gravitational potential energy
of the softball at its highest position? Assume
the ball departed fromand returned to ground
level. Answer in units of J.
003 (part 2 of 4)
Assume no energy is lost by the softball while
it is in the air.
What is the kinetic energy of the softball as
soon as it leaves your hand? Answer in units
of J.
004 (part 3 of 4)
What is the kinetic energy of the softball when
it returns to your hand? Answer in units of
J.
005 (part 4 of 4)
What is the speed of the ball? Answer in
units of m/s.

Homework Equations


PE=massxgravityxdisplacement
KE=1/2xmassxvelocity(squared)
TE=PE+KE

The Attempt at a Solution



I solved for the first problem getting 19.894 Joules, but I ma having trouble solving for the second part. I can't seem to find the total energy.
 
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Assume no energy is lost by the softball while
it is in the air.
What is the kinetic energy of the softball as
soon as it leaves your hand? Answer in units
of J.
004 (part 3 of 4)

Things fly when you provide them energy. In ideal situations, they reach their maximum height when all initial energy is converted into potential energy. So, you know the initial kinetic energy you provided to it.

Is this advanced physics question btw?
 

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