To what height of the earth’s surface with the help of a fixed block it is necessary to raise a bucket of concrete
To what height of the earth’s surface with the help of a fixed block it is necessary to raise a bucket of concrete with a mass of m = 22 kg so that its potential energy increases delta E potential = 1.1 kJ.
dEpotential = 1.1 kJ = 1100 Joules – the amount by which the potential energy of a bucket with concrete should increase;
g = 10 N / kg – acceleration of gravity;
m = 22 kilograms – the mass of a bucket with concrete.
It is required to determine to what height H (meter) the bucket with concrete should be raised.
At the surface of the Earth, the potential energy of a bucket of concrete will be zero. Then:
dE potential = m * g * H, hence:
H = dE potential / (m * g) = 1100 / (22 * 10) = 1100/220 = 0.5 meters.
Answer: the bucket with concrete must be raised to a height of 0.5 meters.