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One common application of conservation of energy in mechanics is to determine the speed of an object. Although the simulation doesn’t give the skater's speed, you can calculate it because the skater's kinetic energy is known at any location on the track. Consider again the case where the skater starts 7 m above the ground and skates down the track. What is the skater's speed when the skater is at the bottom of the track?

Respuesta :

Answer:v=11.71 m/s

Explanation:

Given

Skater is at a height of 7 m above the ground and skate down the track

Conserving Energy At top and Bottom point

Potential Energy converted to Kinetic Energy

Potential Energy[tex]=mgh[/tex]

Kinetic Energy[tex]=\frac{mv^2}{r}[/tex]

[tex]mgh=\frac{mv^2}{2}[/tex]

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{2\times 9.8\times 7}[/tex]

[tex]v=\sqrt{137.2}[/tex]

[tex]v=11.71 m/s[/tex]

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