Question
3. Which one of the following objects DOES NOT have gravitational potential energy? A A bottle on the surface of a table B. A ball on the level ground C A stone on the roof of a house D. A fruit on a branch of a tree 4. A loader lifts a 500 kg stone at a height of 8 m in 2 seconds. The power developed by the loader is (take g=10m/s^2 A. 5000 W B. 20000 W C. 40000 W D. 80 000 W
Solution
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FabianElite · Tutor for 8 years
Answer
3. **B. A ball on the level ground**<br /><br />Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the object's mass, the strength of the gravitational field (g), and the object's height above a reference point. We typically choose the ground as our reference point. Objects at ground level have zero gravitational potential energy *relative to the ground*. The bottle, stone, and fruit are all at some height above the ground, so they have gravitational potential energy.<br /><br />4. **B. 20000 W**<br /><br />Power is the rate at which work is done. The formula for power is:<br /><br />Power (P) = Work (W) / Time (t)<br /><br />Work done against gravity is given by:<br /><br />Work (W) = mass (m) * gravity (g) * height (h)<br /><br />First, calculate the work done:<br /><br />W = 500 kg * 10 m/s² * 8 m = 40000 Joules<br /><br />Now, calculate the power:<br /><br />P = 40000 Joules / 2 seconds = 20000 Watts<br />
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