How can you prove that mechanical energy is conserved?

If only internal forces are doing work (no work done by external forces), then there is no change in the total amount of mechanical energy. The total mechanical energy is said to be conserved.

How that the total mechanical energy of a freely falling body remains constant throughout its fall?

Hint: When a body falls freely, its kinetic energy increases while its potential energy decreases. But the total mechanical energy is conserved during the free fall. The total mechanical energy of a body at a point during free fall is equal to the sum of kinetic energy and potential energy of the body at that point.

How does the law of conservation of energy apply to the mechanical energy of falling objects?

Object Falling from Rest As an object falls from rest, its gravitational potential energy is converted to kinetic energy. Conservation of energy as a tool permits the calculation of the velocity just before it hits the surface. K.E. = J, which is of course equal to its initial potential energy.

What do you mean by conservation of mechanical energy?

The principle of conservation of energy states that the total mechanical energy in the system remains constant as long as the forces acting on the system are conservative. This means that the potential energy of an object can get completely transformed to the kinetic energy and vice-versa.

What is conservation of mechanical energy prove that mechanical energy is conserved in case of a freely falling object?

In the case of a freely falling body, it is the mechanical energy of the system that is conserved. Mechanical energy (E) is the sum of the potential energy (U) and the kinetic energy (K) of the freely falling body. Therefore, E=K+U=constant.

What is conservation of energy prove that total energy of a freely falling body is always constant?

How can you prove that in free falling body total energy is always constant?

Answer Expert Verified Let a body of mass ‘m’ placed at a height ‘h’ above the ground, start falling down from rest. In this case we have to show that the total energy (potential energy + kinetic energy) of the body at A, B and C remains constant i.e, potential energy is completely transformed into kinetic energy.

What are some examples of the law of conservation of energy?

Similarly, the law of conservation of energy states that the amount of energy is neither created nor destroyed. For example, when you roll a toy car down a ramp and it hits a wall, the energy is transferred from kinetic energy to potential energy.

How does law of conservation of mechanical energy applies in our daily life?

When a moving car hits a parked car and causes the parked car to move, mechanical energy is transferred from the moving car to the parked car.

What is the state of motion of the yoyo?

Yo-yos display both linear momentum (moving up and down on the string) and angular momentum (spinning around).