If a total mass of 11.1 kg falls 5.23 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

To calculate the increase in internal energy, we need to know the change in mechanical energy. The mechanical energy is given by the product of mass, acceleration due to gravity, and height:

Mechanical energy = mass * acceleration due to gravity * height

In this case, the mass is 11.1 kg, the acceleration due to gravity is 9.81 m/s^2, and the height is 5.23 m. So, the mechanical energy is:

Mechanical energy = 11.1 kg * 9.81 m/s^2 * 5.23 m

To find the change in internal energy, we can assume that all of the mechanical energy is converted to internal energy. So, the change in internal energy is equal to the mechanical energy:

Change in internal energy = Mechanical energy

Plug in the values to calculate the change in internal energy:

Change in internal energy = 11.1 kg * 9.81 m/s^2 * 5.23 m

Now, you just need to multiply these values together to find the answer.