Question

How much work is done lifting a 12-m chain that is initially coiled on the ground and has a density 2 kg/m so that its top end is 11 m above the ground? (Assume that acceleration due to gravity is g = 9.8 m/s2.)

Answer 1

2587.2 J.

Step-by-step explanation:

From potential energy,

The work done to lift the chain = potential energy of the chain.

W = mgh............... Equation 1

Where W = work done to lift the chain, m = mass of the chain, g = acceleration due to gravity of the chain, h = height of the chain.

But,

m = m'd............... Equation 2

Where m' = density of the chain, d = length of the chain.

Substitute equation 2 into equation 1

W = m'dgh................ Equation 3

Given: m' = 2 kg/m, d = 12 m, h = 11 m, g = 9.8 m/s²

Substitute into equation 3

W = 2(12)(11)(9.8)

W = 2587.2 J.