A mouse of mass 30.0 g falls 130 m down a vertical mine shaft and lands at the bottom with a speed of 8.1 m/s. During its fall, how much work (in J) is done on the mouse by air resistance? -248.21 X J

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem:**

A mouse of mass 30.0 grams falls 130 meters down a vertical mine shaft and lands at the bottom with a speed of 8.1 meters per second. During its fall, how much work (in Joules) is done on the mouse by air resistance?

**Solution:**

Given:

- Mass of mouse (m) = 30.0 g = 0.030 kg (conversion from grams to kilograms)
- Distance fallen (h) = 130 m
- Final speed (v) = 8.1 m/s
- Work done by air resistance (W) = ?

To solve this, you'd use the work-energy principle, considering both gravitational potential energy and kinetic energy.

**Answer:**

-248.21 J

The negative sign indicates that the work done by air resistance is opposite to the direction of motion, implying energy was lost to air resistance during the fall.
Transcribed Image Text:**Problem:** A mouse of mass 30.0 grams falls 130 meters down a vertical mine shaft and lands at the bottom with a speed of 8.1 meters per second. During its fall, how much work (in Joules) is done on the mouse by air resistance? **Solution:** Given: - Mass of mouse (m) = 30.0 g = 0.030 kg (conversion from grams to kilograms) - Distance fallen (h) = 130 m - Final speed (v) = 8.1 m/s - Work done by air resistance (W) = ? To solve this, you'd use the work-energy principle, considering both gravitational potential energy and kinetic energy. **Answer:** -248.21 J The negative sign indicates that the work done by air resistance is opposite to the direction of motion, implying energy was lost to air resistance during the fall.
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