Question

In which of these situations, is mechanical energy being conserved? (Neglect, air resistance, friction and breaking) Check all that apply.

Question 1 options:

Child on a swing


Pendulum


Bow and Arrow


Roller Coaster

Answer 1

The mechanical energy is conserved in all the situations mentioned

Explanation:

The mechanical energy of an object is the sum of the potential energy (PE) and the kinetic energy (KE) of the object:

$E=PE+KE$

In absence of non-conservative forces, such as air resistance or friction, the mechanical energy of a body is conserved, so it is constant:

$E=const.$

In all the examples mentioned here, there are no conservative forces acting on the system, therefore mechanical energy is conserved. In particular:

- Child on a swing: here there is a conversion of energy from kinetic to gravitational potential, and viceversa

- Pendulum: here there is a conversion of energy from kinetic to gravitational potential, and viceversa

- Bow and arrow: here there is a conversion of energy from elastic potential to kinetic energy

- Roller coaster: here there is a conversion of energy from kinetic to gravitational potential, and viceversa

Learn more about potential and kinetic energy:

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