Here\'s the question: A block initially at rest is allowed to slide down africti

Question

Here's the question:
A block initially at rest is allowed to slide down africtionless ramp of height 1m. At the end of the ramp its speed isv. To achieve a speed of 2v, a new ramp must havea height _______.
The answer is 4. Can anyone explain why its 4?
Thanks!
A block initially at rest is allowed to slide down africtionless ramp of height 1m. At the end of the ramp its speed isv. To achieve a speed of 2v, a new ramp must havea height _______.
The answer is 4. Can anyone explain why its 4?
Thanks!

Explanation / Answer

mgh = .5 mv^2 With h = 1 m and v =v, the proportion is g(1) / (.5 * v^2). -m's cancel. set this proportion equal to with 2v. As you can see it is v^2, so naturally, 2 squared is 4, thusyou get 4m.

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