1. What is the gravitational potential energy of a 61.2 kg person standing on the roof of a 10-storey building relative to (a) the tenth floor, (b) the sixth floor, (c) the first floor. (each storey is 2.50 m high.)
Answers
The formula to find the Gravitational Potential Energy is
Gravitational P.E = mgh
Given that
mass = m = 61.2 kg
height of each storey = h = 2.5 m
the value of g = 10 m/s²
So height of the 1st floor = 2.5 m
height of the 6th floor = 2.5 (6) = 15 m
height of the 10th floor = 2.5(10) = 25 m
Roof is the 11th floor.
So height of the roof = 2.5(11) = 27.5 m
Now P.E at the roof = mgh = (61.2)(10)(27.5) = 16830 J
P.E at the roof = 16830 J
(a) P.E at the 10th floor = mgh = (61.2)(10)(25) = 15300 J
⇒ P.E at the roof is 1530 J more than P.E at the 10th floor.
(b) P.E at the 6th floor = mgh = (61.2)(10)(15) = 9180 J
⇒ P.E at the roof is 7650 J more than P.E at the 6th floor.
(c) P.E at the 1st floor = mgh = (61.2)(10)(2.5) = 1530 J
⇒ P.E at the roof is 15300 J more than P.E at the 1st floor.
I hope it will help you.
Answer:
P.E at the roof is 15300 J morevthan P.E at the 1st floor.
Step-by-step explanation: