How much work does it take to raise a #26# #kg # weight #3# #m #?

1 Answer
Jun 7, 2016

Answer:

There are (at least) two ways to answer this question. Both are included below. The answer, using either method, is #764.4# #J#.

Explanation:

First method:

#W=Fd#

Work = force times distance

The force of gravity on a mass #m# is given by #F=mg#

Combining these equations:

#W=mgh=26*9.8*3=764.4# #J#

Second method:

The work done is equal to the change in gravitational potential energy:

#E_p=mgh# (hmm, look familiar?)

Both methods end up involving the same calculation and yield the same answer.