g Katie(50 kg) tries the water slide at the county fair. The starting point is 10.0 m above the ground. She starts from the top of the slide at rest. Assuming zero frictional lost, how fast will Katie be traveling at the bottom

v= 14 m/s

Explanation:

Assuming no friction losses, the total mechanical energy must be conserved.At the top of the slide, all the energy is gravitational potential energy, as she starts at rest.At the bottom of the slide, if we choose this level as our zero reference level for the gravitational potential energy, all the energy will be purely kinetic.So, we can write the following equality:

        ⇒ΔK = -ΔU

        ⇒

Rearranging terms and simplifying we can solve for v, as follows:

       

Katie's speed at the bottom of the slide will be 14 m/s.

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