It is easier to roll a stone up a sloping road than to lift it vertica...
Explanation:
Rolling a stone up a sloping road is easier than lifting it vertically upwards due to the following reasons:
Less Work Done: Rolling a stone up a sloping road requires less work to be done compared to lifting it vertically upwards. This is because when a stone is lifted vertically, it has to overcome the force of gravity acting on it. The force of gravity acting on the stone is equal to its weight, and lifting it against this force requires a lot of effort. On the other hand, rolling a stone up a sloping road requires the force of gravity to do some of the work.
Efficiency: The efficiency of rolling a stone up a sloping road is higher than lifting it vertically upwards. This is because when a stone is lifted vertically, the work done is equal to the product of force and distance moved. However, when a stone is rolled up a sloping road, the work done is equal to the product of force, distance moved and the cosine of the angle between the force and the direction of motion. The cosine of the angle between the force and the direction of motion is always less than one, which means that the work done in rolling the stone up a sloping road is less than the work done in lifting it vertically upwards.
Rate of Doing Work: The rate of doing work is higher in rolling a stone up a sloping road than lifting it vertically upwards. This is because rolling a stone up a sloping road requires less effort and is therefore faster than lifting it vertically upwards.
Therefore, the correct option is D. Work done in rolling a stone is less than in lifting it.
It is easier to roll a stone up a sloping road than to lift it vertica...
Work done in rolling a stone is less than in lifting it.
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