Question

b. How many kilograms will a man working at the power of 100 W, be able to lift at constant speed of 1 m/s vertically?

Answer 1

Mass, m = 10.2 kg

Explanation:

It is given that,

Power, P = 100 W

Speed of the lift, v = 1 m/s

We know that power of an object is equal to the work done per unit time. It is given by :

$P=\dfrac{W}{t}$

$W=mgd$

$P=mg\times v$

$m=\dfrac{P}{gv}$

$m=\dfrac{100\ W}{9.8\ m/s^2\times 1\ m/s}$

m = 10.2 kg

So, the mass of the object is 10.2 kg. Hence, this is the required solution.

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Answer 2

Man working at a power of 100 W can lift 10 kg.

Explanation:

Power delivered to the body can be expressed in terms of force applied to the body and its velociy.

Power (P) = work / time = F * s / t where F is force, s is displacement and t is time.

So we get P = F * v

Given P = 100 W, v = 1 m/s2 and g = 10 m/s2

P = F * v

100 = mg * v

100  = m * 10 * 1  

m = 100 / 10 = 10 kg

Man working at a power of 100 W can lift 10 kg.