onsider a cannon-ball of mass 8 kg fired vertically up from the ground with an initial speed of 120 m/s. We ignore the effects of air resistance. (a) Consider the downward trip. Find the work done by gravity when the cannon-ball drops from its highest point to halfway between the ground and the highest point. Hence, find the kinetic energy of the cannon-ball when it drops to the halfway point. (b) Mark a list that gives the kinetic energy, potential energy and the total mechanical energy at four points during the trip: when the cannon-ball (i) just leaves the cannon, (ii) reaches its highest point, (iii) is half-way in the downward trip, and (iv) is going to hit the ground.

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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Consider a cannon-ball of mass 8 kg fired vertically up from the ground with an initial speed of 120 m/s. We ignore the effects of air resistance.

(a) Consider the downward trip. Find the work done by gravity when the cannon-ball drops from its highest point to halfway between the ground and the highest point. Hence, find the kinetic energy of the cannon-ball when it drops to the halfway point.

(b) Mark a list that gives the kinetic energy, potential energy and the total mechanical energy at four points during the trip: when the cannon-ball (i) just leaves the cannon, (ii) reaches its highest point, (iii) is half-way in the downward trip, and (iv) is going to hit the ground.

Expert Solution
Step 1: Introduction of given data

Given 

the mass of cannon-ball = m = 8 kg 

the initial speed in upward direction = u = 120 m/s. 

 Ignore the effects of air resistance.

I have to find

(a)  the work done by gravity when the cannon-ball drops from its highest point to halfway between the ground and the highest point. Hence, find the kinetic energy of the cannon-ball when it drops to the halfway point.

(b) Mark a list that gives the kinetic energy, potential energy and the total mechanical energy at four points during the trip: when the cannon-ball (i) just leaves the cannon, (ii) reaches its highest point, (iii) is half-way in the downward trip, and (iv) is going to hit the ground.


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