Answer: (1) 4.9 kj
(2) 9.8 kj
(3) 24.5 kj
(4) 49.0 kj
Explanation:
Let's label each cylinder from 1-4
Note that,
Gravitational Potential Energy (PEg) = m × g × h
Where m is mass
g is acceleration due to gravity
h is height
So, calculate the PEg of every cylinder
PEg Cylinder 1 = m × g × h
= 5 × 100 × 9.8 = 4900 J
Which can be converted to, 4900 ÷ 1000 = 4.9 kj because from the question above, it is in kilojoules (kj)
Cylinder 2 = m × g × h
= 5 × 200 × 9.8 = 9800 J
Which can be converted to, 9800 ÷ 1000 = 9.8 kj
Cylinder 3 = m × g × h
= 5 × 500 × 9.8 = 24,500 J
Which can be converted to, 24500 ÷ 1000 = 24.5 kj
Cylinder 4 = m × g × h
= 5 × 1000 × 9.8 = 49,000 J
Which can be converted to, 49000 ÷ 1000 = 49.0 kj
Thus, the different heat generated by each cylinder at heights 100 m, 200 m, 500 m and 1000 m (to the nearest tenth) are 4.9 kj, 9.8 kj, 24.5 kj and 49.0 kj respectively.
