a man weighing 70kg carries a weight of 10kg to top of tower 100m high. calculate work done.
Answers
weight of the man = 70kg
weight of the thing carried = 10kg
height of the tower = 100m
need to find out :
the work done
solution :
total weight = 70+10 = 80kg
work done = mgh
= 80 * 10 * 100
= 80,000 J
therefore the work done = 80,000 J
Given,
Weight of a man = 70 Kg
The man carries a weight of = 10 Kg
Height of a tower = 100 meters
To find,
The total work done.
Solution,
We can simply solve this numerical problem by using the following process:
Mathematically,
Weight of an object (W)
Weight of an object (W)= Mass of the object (m) x gravitational acceleration (a) (Equation 1)
Also,
Work done (W)
= Mass of the object sound the work (m) x gravitational acceleration (a) x height (h)
From equation 1, we get;
= Weight of an object (W) x height (h) {Equation 2}
Now, by using equation 2, we get;
Work done by the man, carrying the additional weight, in reaching the top of the tower
= {Total weight carried} x height (h)
= { 70 + 10 } x 100 meters
= 80 Kg m/s x 100 meters
= 8000 joules = 8 kilojoules = 8 KJ
Hence, the total work done by the man, carrying the additional weight, in reaching the top of the tower is equal to 8000 Joules.