High School

How much work is done by a person lifting a 2.0 kg object from the bottom of a well at a constant speed for 5.0 m?

A) 98 J
B) 196 J
C) 245 J
D) 490 J

Answer :

Final answer:

The work done lifting a 2.0 kg object 5.0 m at a constant speed is calculated using the formula Work = Force × Displacement, resulting in 98 J of work done. Therefore the correct option is A).

Explanation:

The work done by a person lifting a 2.0 kg object from the bottom of a well at a constant speed for 5.0 m can be calculated using the formula for work, which is the product of force and displacement:

Work (W) = Force (F) × Displacement (d).

Since the object is lifted vertically, the force applied will be equal to the weight of the object due to gravity (Force = mass × gravitational acceleration). Using the mass of the object (m = 2.0 kg) and the standard gravitational acceleration (g = 9.8 m/s2), we can calculate the force as

F = m × g = 2.0 kg × 9.8 m/s2 = 19.6 N.

Thus, the work done is W = F × d = 19.6 N × 5.0 m = 98 J. Answer: A) 98 J.