Answer:
The work done is 19.6 N·m
Explanation:
In this problem, we can use the concept of storing energy which is the same as work where energy is changed from one body to another. The energy we will introduce here is potential energy.
For the formula, we will use:
PE = mgh
where
PE is the potential energy, the unit is in Joules, J
m is the mass, the unit is in kg
g is the gravity, 9.8 m/s²
h is the height, the unit is in meter, m
Given information
m = 1 kg
h = 2 m
W = PE = ?
Solving the problem
Let us solve for the work using the equivalent formula for potential energy.
PE = mgh
PE = (1 kg)(9.8 m/s²)(2 m)
PE = 19.6 N·m
Take note that potential energy is related to work in terms of energy, therefore W = 19.6 N·m
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