How much kilogram weight will a man working at the power of 100 W be able to rise at a constant speed of 1 m/s vertically?

Question

How much kilogram weight will a man working at the power of 100 W be able to rise at a constant speed of 1 m/s vertically? (Given g = 10 m/s²) [Ans. 10 kg]

Answer

Power (P) = 100 W

Speed (v) = 1 m/s

Step 1: Calculation of Force

Power (P) = Force (F) × Speed (v)

or, Force (F) = Power\over speed

or, Force (F) = 100\over 1

or, Force (F) = 100 N

Step 2: Calculation of Mass

Force (F) = mass (m) × acceleration due to gravity (g)

or, mass (m) = Force\over g

or, mass (m) = 100\over 10

or, mass (m) = 10 kg