A vessel contains water. Paddles that are

propelled by falling masses turn in the water, causing the water’s internal energy to increase. The temperature of the water is then

measured, giving an indication of the water’s

internal energy increase.

If a total mass of 10.3 kg falls 5.48 m and

all of the mechanical energy is converted to

internal energy, by how much will the internal

energy of the water increase? The acceleration of gravity is 9.81 m/s

2

. Assume no energy

is transferred as heat out of the vessel to the

surroundings or from the surroundings to the

vessel’s interior.

Answer in units of J