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Using energy considerations and assuming negligible air

Chapter 7, Problem 27

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QUESTION:

Problem 27PE

Using energy considerations and assuming negligible air resistance, show that a rock thrown from a bridge 20.0 m above water with an initial speed of 15.0 m/s strikes the water with a speed of 24.8 m/s independent of the direction thrown.

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QUESTION:

Problem 27PE

Using energy considerations and assuming negligible air resistance, show that a rock thrown from a bridge 20.0 m above water with an initial speed of 15.0 m/s strikes the water with a speed of 24.8 m/s independent of the direction thrown.

ANSWER:

Step 1 of 4:

Consider you are throwing a rock from a bridge on the surface of a river. The initial speed of the rock is given and considering the total energy, no external work is done on the rock. The total energy at the height where the rock is thrown is equal to the total energy at the surface of the water. Never mind the angle made while throwing it since energy is conserved. Our aim is to verify the final speed of the rock with the given value.

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