Given volume is 1.5 cm3, work is 320kJ and density of marble is 2700. We need to find the height.

Given:

V = 1.5 cm3 (cubic centimeters) – body volume;

ro = 2700 kg / m3 (kilogram per cubic meter) – density of marble (body);

g = 9.8 N / kg (Newton per kilogram) – acceleration of gravity;

A = 320 kJ = 320000 Joules – the work done to lift the body to a certain height h.

It is required to determine h (meter) – the height to which the body was raised.

Let’s translate the units of measurement of volume in the SI system:

V = 1.5 cm3 = 1.5 * 10 ^ -6 m3 (cubic meters).

Then the body weight will be equal to:

m = ro * V = 2700 * 1.5 * 10 ^ -6 = 0.00405 kilograms.

The force of gravity acting on the body will be equal to:

F = m * g = 0.0405 * 9.8 = 0.04 Newton (the result has been rounded to one decimal place).

Then the height will be equal to:

h = A / F = 320,000 / 0.04 = 32 * 10 ^ 4 / (4 * 10 ^ -2) = 8 * 10 ^ 6 meters (8000 kilometers).

Answer: the body was lifted to a height of 8000 kilometers.