Question

Does the transfer of energy take place when you push a huge rock with all your might and fail to move it? Where is the energy you spend going?

Answer 1

Law of conservation of energy

1. According to the law of conservation of energy, even though energy can be converted from one form to another, the total amount of energy of a system remains unvaried.
2. On pushing a huge rock that remains stationary, muscular energy is not transferred to the rock. The energy exerted by the body is converted to thermal energy and it in turn, heats up the body. The law of conservation of energy stays valid.

Hence, there is no transfer of energy from the body to the rock when you push with all your might. The energy you spend is getting converted to heat energy.