select the correct answer. how much work is required to lift an object with a mass of 5.0 kilograms to a…

select the correct answer. how much work is required to lift an object with a mass of 5.0 kilograms to a height of 3.5 meters?\na. 17 joules\nb. 1.7×10² joules\nc. 1.9×10² joules\nd. 2.8×10² joules

select the correct answer. how much work is required to lift an object with a mass of 5.0 kilograms to a height of 3.5 meters?\na. 17 joules\nb. 1.7×10² joules\nc. 1.9×10² joules\nd. 2.8×10² joules

Answer

Explanation:

Step1: Recall work - energy theorem

Work done (W) in lifting an object is equal to the change in its gravitational potential energy (\Delta U = mgh), where (m) is the mass, (g) is the acceleration due to gravity ((g = 9.8\ m/s^{2})), and (h) is the height.

Step2: Substitute values

Given (m = 5.0\ kg), (h=3.5\ m) and (g = 9.8\ m/s^{2}). Then (W=mgh=(5.0\ kg)\times(9.8\ m/s^{2})\times(3.5\ m)). [ \begin{align*} W&=5\times9.8\times3.5\ & = 49\times3.5\ &=171.5\ J\approx1.7\times 10^{2}\ J \end{align*} ]

Answer:

B. (1.7\times 10^{2}) joules