Question

if you do 100 J of work to elevate a bucket of water, what is it's gravitational potential energy relative to its starting point

Answer 1

if you do 100 J of work to elevate a bucket of water, what is it's gravitational potential energy relative to its starting point. Please give detailed answer

All work you done will used to change a bucket's potential energy. So, change of its potential energy is:

$$\Delta W = W _ {2} - W _ {1} = A$$

Relative to its $(W_{1} = 0)$ initial position potential energy will equal to:

$$W _ {2} = A$$ $$W _ {2} = 1 0 0 J$$

Answer: $W_{2} = 100J$