Conservation of Energy Problem.

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SUMMARY

The discussion focuses on solving a conservation of energy problem involving a 0.40 kg ball thrown at a speed of 12 m/s at an angle of 33 degrees. The key findings are that at the highest point, the vertical velocity is 0 m/s, and the horizontal velocity remains unchanged. Using the conservation of energy formula, the maximum height reached by the ball is calculated to be 2.21 meters, confirming the accuracy of the calculations presented.

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  • Understanding of conservation of energy principles
  • Familiarity with projectile motion concepts
  • Knowledge of basic kinematic equations
  • Ability to perform calculations involving gravitational potential energy
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  • Study the derivation of the conservation of energy formula in physics
  • Learn about projectile motion and its components, including horizontal and vertical velocities
  • Explore the effects of air resistance on projectile motion
  • Investigate advanced kinematic equations for varying angles of projection
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of energy conservation and projectile motion in real-world applications.

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Here's the problem:

A .40 kg ball is thrown with a speed of 12m/s at an angle of 33 degrees. a) what is its speed at its highest point, and b) how high does it go? (Use conservat ionfo energy and ignore air resistance)

I think I'm supposed to use the formula .5mvi^2 + mgy1 = .5mvf^2+mgy2 .

How do I find the speed at the highest point? m=.4, and vi=12 right? Please help!
 
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A couple of hints:
What is the vertical velocity at its highest point?
Is the horizontal velocity at all affected during the flight?
 
At the highest point, vertical velocity is 0, and no, the horizontal velocity isn't affected... so then my final velocity would be zero, and y1 will be zero. This leaves me with 28.8-20 = (.40)(9.8)y2
y2 = 2.21 meters. Can anyone verify my answer?
 
Last edited:
Looks ok to me.
 

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