The unit for work is Joules. The unit for Energy is also Joules. This isn’t mere
ID: 1462898 • Letter: T
Question
The unit for work is Joules. The unit for Energy is also Joules. This isn’t mere coincidence. You use energy to do work, and hence, instead of inventing a brand new unit for work, the same units as energy are used. It is useful to think of this as work is energy; the amount of work done is measured by the amount of energy you put into it. You are moving a box of mass 10kg from the ground into an attic at a height of 1.78m. a) What is the work donein moving that box on an alien planet named ‘B124’ 2 average average where the acceleration due to gravity is 0.31 ms. b) What is the work done inmoving that box on earth,where the acceleration due to 2 gravity is 9.81 ms. c) Similarly, (using google to find pertinent information) figure out the possible work donein moving the box on the planets: i) Jupiter ii) Mars iii) Mercury. d) Assuming you could live normally in the environments of all five of these planets, which of these planets would you be spending the most energyto move this box to the attic? On which would you be spending the least?
Explanation / Answer
a)
m = mass of box = 10 kg
h = height = 1.78 m
g = 0.32 m/s2
work done = potential energy gained = mgh = 10 x 1.78 x 0.32 = 5.696 J
b)
m = mass of box = 10 kg
h = height = 1.78 m
g =9.81 m/s2
work done = potential energy gained = mgh = 10 x 1.78 x 9.81 = 174.62 J
c)
i)
m = mass of box = 10 kg
h = height = 1.78 m
g = 24.5 m/s2
work done = potential energy gained = mgh = 10 x 1.78 x 24.5 = 436.1 J
ii)
m = mass of box = 10 kg
h = height = 1.78 m
g = 3.7 m/s2
work done = potential energy gained = mgh = 10 x 1.78 x 3.7 = 65.86 J
iii)
m = mass of box = 10 kg
h = height = 1.78 m
g = 3.61 m/s2
work done = potential energy gained = mgh = 10 x 1.78 x 3.61 = 64.3 J
d)
jupitor
B124
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