Work done can be computed using the formula:
[tex]W=Fd[/tex]
Where:
W = work (J)
F = Force (N)
d = Distance (d)
Looking at the given, you know that you do not have a value for force, so you will have to solve for it.
[tex]F = ma[/tex]
Where:
F = Force
m = mass
a = acceleration
Because the object is being lifted, the acceleration will rely on gravity. Acceleration due to gravity is a constant 9.8 m/s^2. Let's list our given first:
F = ?
m = 100kg
a = 9.8m/s^2
Put that into our equation and solve:
[tex]F=ma[/tex]
[tex]F=(100kg)(9.8m/s^{2})[/tex]
[tex]F=980kg.m/s^{2}[/tex]
Our force is then 980 N.
Now that we have force we can solve for Work. The given for work is as follows:
F= 980N
d = 1.4m
Put that into our formula and solve:
[tex]W = Fd[/tex]
[tex]W = (980N)(1.4m)[/tex]
[tex]W = 1,372J[/tex]
The work done is 1,372J.
