A ball is launched at an angle of 45° from a cliff above level ground below. When it is released, it is a distance H above the ground, and it has 6 J of gravitational potential energy and 4 J of kinetic energy (all translational – don’t worry about rotational kinetic energy in this problem). The ground is defined to be where the gravitational potential energy is zero joules. Assume there are no non-conservative forces acting while the ball follows a parabolic path through the air. 1) At all points along the path, the sum of the gravitational potential energy and the kinetic energy will be.... (answer is 10, explain how / why you get 10) 2) When the ball reaches its maximum height, what is its kinetic energy (answer: 2) ? and gravitational potential energy? (answer: 8 - how do I get 8).  3) At one point, the ball is H/2 abov

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A ball is launched at an angle of 45° from a cliff above level ground below. When it is released,
it is a distance H above the ground, and it has 6 J of gravitational potential energy and 4 J of
kinetic energy (all translational – don’t worry about rotational kinetic energy in this problem).
The ground is defined to be where the gravitational potential energy is zero joules. Assume there
are no non-conservative forces acting while the ball follows a parabolic path through the air.

1) At all points along the path, the sum of the gravitational potential energy and the
kinetic energy will be.... (answer is 10, explain how / why you get 10)

2) When the ball reaches its maximum height, what is its kinetic energy (answer: 2) ? and gravitational potential energy? (answer: 8 - how do I get 8). 

3) At one point, the ball is H/2 above the ground. At that point, what is its Kinetic energy? (it's 7, but how do you get this answer), Gravitational Potential energy? (3 J - but how to get this)? 

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