Question Details

In a certain code,
'big grand wedding' is coded as 'rc af bg'
'grand birthday celebration' is coded as 'kp vg rc'
'enjoy big celebration' is coded as 'af zd vg'
(all the codes are two letter coded only)
What is the possible code for ‘birthday bash’?

Which statement accurately describes how energy transforms during the free fall of an object under gravity?

Options

A

Both potential and kinetic energies remain constant.

B

Potential energy and kinetic energy both decrease.

C

Potential energy is converted into heat energy during the fall.

D

Potential energy decreases while kinetic energy increases, maintaining constant total mechanical energy.

Show Answer

Correct Answer :

Option D

Potential energy decreases while kinetic energy increases, maintaining constant total mechanical energy.

Potential energy decreases while kinetic energy increases, maintaining constant total mechanical energy.

Solution :

To understand how energy transforms during the free fall of an object under gravity, we can analyze the behavior of potential energy, kinetic energy, and total mechanical energy.

1. Potential Energy (PE): Gravitational potential energy is given by the formula:
PE=mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground. As the object falls, its height h decreases. Consequently, its potential energy decreases.

2. Kinetic Energy (KE): Kinetic energy is the energy of motion, given by the formula:
KE=12mv2
where v is the velocity of the object. As the object falls under the influence of gravity, it accelerates, meaning its velocity v increases. Consequently, its kinetic energy increases.

3. Conservation of Mechanical Energy: In the absence of non-conservative forces like air resistance, the total mechanical energy (TME), which is the sum of potential and kinetic energies, remains constant throughout the fall:
TME=PE+KE=constant
Therefore, the decrease in potential energy is exactly equal to the increase in kinetic energy, maintaining a constant total mechanical energy.

Thus, the statement that accurately describes this transformation is: Potential energy decreases while kinetic energy increases, maintaining constant total mechanical energy.

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