Answer :
Final answer:
The work done in carrying a rock of mass 5.0 kg up a hill 10 meters high is (a.) 490 Joules. The calculation involves the formula for work (W = F * d), using the weight of the rock (F = m * g) as the force, and the height of the hill as the distance.
Explanation:
To calculate the work done in carrying a rock of mass 5.0 kg up a small hill 10 meters high, we use the formula: work (W) is equal to the force (F) multiplied by the distance (d), where the force equals the weight of the object. The weight (F) is found by multiplying the mass (m) of the rock by the acceleration due to gravity (g), which is approximately 9.8 m/s2 on Earth, resulting in
F = m * g.
The distance (d) in this case is the height the rock is raised (10 meters).
Thus, the work done (W) is:
W = F * d = m * g * h,
where (h) represents the height. Plugging in the values, we get
W = 5.0 kg * 9.8 m/s2 * 10 m,
W = 490 Joules (J)
Therefore, the answer is: a. 490 J.
