How much energy is converted into heat when 1400J of work is done and 300J of kinetic energy is gained?

To determine how much energy is converted into heat when work is done and kinetic energy is gained, we can use the principle of energy conservation, specifically the work-energy theorem. This principle states that the total energy put into a system (in terms of work done) will be equal to the change in kinetic energy plus any energy lost as heat.

In this scenario, 1400J of work is done on the system, which is the total energy input. The system gains 300J of kinetic energy. The rest of the energy, which is converted into heat, can be calculated by subtracting the kinetic energy gained from the work done.

So, we start with the total work done: Total energy input = 1400J
Energy used for kinetic energy = 300J

Then, we find the energy converted into heat: Energy converted into heat = Total energy input - Energy used for kinetic energy
Energy converted into heat = 1400J - 300J = 1100J

This calculation shows that 1100J of energy is transformed into heat, which corresponds to the correct answer. Understanding this relationship helps clarify how energy is transferred and transformed in physical systems, illustrating the balance between work done and the resultant kinetic energy and