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Keith_Richards [23]
3 years ago
12

A child is sliding down a slide at the playgound. is mechanicalenergy conserved

Physics
1 answer:
Flauer [41]3 years ago
5 0

No. Mechanical energy is not conserved.  There's quite a bit of friction on the slide.  So some of the potential energy is lost to heat on the way down, and the child arrives at the bottom with hot pants and less kinetic energy than you might expect.

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Suppose that the velocity (in meters per second) of a sky diver falling near the Earth's surface is given by the following expon
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4.7 s

Explanation:

The complete question is presented in the attached image to this solution.

v(t) = 61 - 61e⁻⁰•²⁶ᵗ

At what time will v(t) = 43 m/s?

We just substitute 43 m/s into the equation for the velocity of the diver and solve for t.

43 = 61 - 61e⁻⁰•²⁶ᵗ

- 61e⁻⁰•²⁶ᵗ = 43 - 61 = -18

e⁻⁰•²⁶ᵗ = (18/61) = 0.2951

In e⁻⁰•²⁶ᵗ = In 0.2951 = -1.2205

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t = (1.2205/0.26) = 4.694 s = 4.7 s to the nearest tenth.

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