In a volcanic eruption, a 2-kg piece of porous volcanic

Chapter , Problem 93

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QUESTION:

In a volcanic eruption, a 2-kg piece of porous volcanic rock is thrown straight upward with an initial speed of It travels upward a distance of before it begins to fall back to Earth. (a) What is the initial kinetic energy of the rock? (b) What is the increase in thermal energy due to air resistance during ascent? (c) If the increase in thermal energy due to air resistance on the way down is 70 percent of that on the way up, what is the speed of the rock when it returns to its initial position?

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QUESTION:

In a volcanic eruption, a 2-kg piece of porous volcanic rock is thrown straight upward with an initial speed of It travels upward a distance of before it begins to fall back to Earth. (a) What is the initial kinetic energy of the rock? (b) What is the increase in thermal energy due to air resistance during ascent? (c) If the increase in thermal energy due to air resistance on the way down is 70 percent of that on the way up, what is the speed of the rock when it returns to its initial position?

ANSWER:

Step 1 of 5

(a)

In this part of the problem, we are asked to calculate the initial kinetic energy of the rock. The known values are given as follows

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