ball mass is 1.00kg, speed when leaving the cannon is 12.5m/s... use to solve below   Since the initial potential energy and final kinetic energy are zero, our equation now becomes EP,f = EK,i. We can then substitute the formula for kinetic energy,  EK = 1/2mv2,  and the formula for gravitational potential energy,  EP = mgh, mghf = 1/2mvi2. Now it's just a matter of doing the algebra, solving for the final height  hf,  and substituting values to find  hf.  Notice that the mass m divides out of both sides of the equation, so the value of the mass is not needed to find the final height.   ****Calculate the maximum height of the ball in meters. hf = _____________

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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ball mass is 1.00kg, speed when leaving the cannon is 12.5m/s... use to solve below
 
Since the initial potential energy and final kinetic energy are zero, our equation now becomes
EP,f = EK,i.
We can then substitute the formula for kinetic energy, 
EK = 1/2mv2,
 and the formula for gravitational potential energy, 
EP = mgh,
mghf = 1/2mvi2.
Now it's just a matter of doing the algebra, solving for the final height 
hf,
 and substituting values to find 
hf.
 Notice that the mass m divides out of both sides of the equation, so the value of the mass is not needed to find the final height.
 
****Calculate the maximum height of the ball in meters.
hf = _____________
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