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A porter lifts a suitcase weighing 20 kg from the platform and puts it on his head 2.0 m above the platform. Calculate the work done by the porter on the suitcase.

A. 392 J
B. 488 J
C. 292 J
D. 195 J

Answer :

Final answer:

The work done by the porter on lifting a 20 kg suitcase to a height of 2.0 meters is calculated using the formula W = Fd, resulting in a total work of 392 J. The force applied is the product of the mass and acceleration due to gravity, leading to the answer A. 392 J. Therefore correct option A. 392 J

Explanation:

The question involves calculating the work done by a porter when lifting a suitcase weighing 20 kg to a height of 2.0 meters. The formula for work done (W) in the context of physics is W = Fd, where F is the force applied and d is the distance over which the force is applied. The force in this context is due to gravity (F = mg), where m is the mass of the object and g is the acceleration due to gravity (approximately 9.8 m/s2).

Thus, substituting the given values, the work done is calculated as follows:

Mass of the suitcase, m = 20 kg

Acceleration due to gravity, g = 9.8 m/s2

Height/Distance, d = 2.0 m

Therefore, F = mg = 20 kg × 9.8 m/s2 = 196 N. The work done, W = Fd = 196 N × 2 m = 392 J.

The correct answer is A. 392 J. This amount of work is done by the porter to lift the suitcase against the force of gravity to a height of 2 meters.

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Rewritten by : Barada