Answer:
a) 24525 Newtons
b)240590.25 Joules
c)4009.8375 Watt
d)294300 Joules
Step-by-step explanation:
a) Weight is a force, and can be calculated by multiplying mass by acceleration due to gravity. Earth's acceleration due to gravity is 9.81m/s/s. To find the water's weight, we multiply its mass (2500) by acceleration due to gravity.
W=mg
=(2500)(9.81)
=24525 Newtons
b) Work is calculated by multiplying force by distance. In this case, the force is the weight (as found in part a) and the distance is 16m.
W=fd
=(24525)(9.81)
=240590.25 Joules
c) Power is calculated by dividing the work by the time. In this case the work is our answer for part b and the time is sixty seconds.
P=w/t
=240590.25/60
=4009.8375 Watt
d) The first bit of part d tells us that (the waters potential energy)(0.75)=(electric energy). To find potential energy, multiply mass by acceleration due to gravity by height.
PE=mgh
=2500*9.81*16
=392400 Joules
Multiply by 0.75 to find electric energy: 294300 Joules