Up, Down, Up, Down

Classical Mechanics Level pending

You're standing on the top of the hill. Weighing at 60 kg, you had the stored energy at 1000 J. What is your free fall velocity? Express it in 2 decimal places.


The answer is 5.77.

Lance Fernando by Lance Fernando , 25, Philippines

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2 solutions

Khushi Mehta
Dec 14, 2016

v = √2gh mgh = 1000 h = 1000/(10×60) Therefore v = 5.77

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Easy solution, isn't it?

Lance Fernando - 4 years, 6 months ago
Lance Fernando
Dec 14, 2016

Recall that the potential energy at the top is at maximum, while the kinetic energy is at nothing. As you fall down, the potential energy is consumed in exchange for kinetic energy. At the bottom, just before you crash down, your kinetic energy is at maximum. Therefore, using the formula v = square root of (2KE / m), we can approximate the answer to 5.77 m/s.

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