A wagon is accelerating down a hill. Which statement is true?

Question 17 options:

The potential energy decreases and the kinetic energy increases


The potential energy and the kinetic energy both increase


The potential energy and the kinetic energy both decrease


The kinetic energy decreases


The thermal energy decreases

Respuesta :

Potential energy decreases and kinetic energy increases.

Potential energy is related to the height, since the wagon is going downhill, height decreases and potential energy decreases.

Kinetic energy is related to the speed, since the wagon is speeding up, kinetic energy increases.

What happens when a wagon is accelerating downhill is required.

The potential energy decreases and the kinetic energy increases

Potential energy of wagon is

[tex]U=mgh[/tex]

where,

m = Mass of wagon

g = Acceleration due to gravity

h = Vertical height from the base level of the hill

When the wagon is going downhill the height (h) is decreasing this means the potential energy is decreasing.

Kinetic energy is given by

[tex]K=\dfrac{1}{2}mv^2[/tex]

v = Velocity of the wagon

As the wagon is going down its velocity (v) will increase as it will be accelerating due to gravity.

This means the kinetic energy increases.

Hence, the correct statement is The potential energy decreases and the kinetic energy increases.

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