A stick of length 1.3 m is held vertically with one end on the floor and is then allowed to fall. Find the speed of the other end when it hits the floor, assuming that the end on the floor does not slip.

Question

Physics

Francis Christensen

3 March, 11:45

A stick of length 1.3 m is held vertically with one end on the floor and is then allowed to fall. Find the speed of the other end when it hits the floor, assuming that the end on the floor does not slip.

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Answers (1)

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Augustus Whitney · Answer 1

Vf = 5.05 m/s

Explanation:

To know this, you need to use the expressions for free fall.

In this case, we only know the length of the stick which is 1.3 m.

The stick is held vertically and then is allowed to fall freely. Now, we want to know the final speed of the stick when it reach the floor.

In this case, we can assume that when the stick is allowed to fall, the innitial speed is 0. Then, the other thing we can assume is the height where the stick is put to fall. In this case, the height is the same as the length, because the stick is already on the floor but is standing vertically.

So, we have here the height, and if the stick is falling, is because of gravity, which is 9.8 m/s²

To calculate the speed, you can use this expression:

Vf = √2*g*h

Replacing the data we have:

Vf = √2 * 9.8 * 1.3

Vf = 5.05 m/s