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The following problem is an example of one of the problem types randomly selected at Conservation of Mechanical Energy
A diver jumps with an initial speed of 1.66 m/s and enters the water at
5.565 m/s. What height did she jump from?
Suggestions / Method Hints: - the diver's mass was omitted because it is irrelevant. Conservation of mechanical energy is still the best way to solve this, even though an unknown mass appears in all expressions.
(also see The Power of One)
- the change in gravitational potential energy (mgh - where 'h' is the change in height hf-hi) equals (negative of) the change in kinetic energy (1/2 m*vf2 - 1/2 m*vi2)
- this equation has mass in every term, so it can be cancelled out
- divide both sides by 'g' to calculate the change in height
Answer: 1.44 m List of Problem Hints
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