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Brilliant_brown [7]
3 years ago
13

A 0.5 kg mass moves 40 centimeters up the incline shown in the figure below. The vertical height of the incline is 7 centimeters

. What is the change in the potential energy (in Joules) of the mass as it goes up the incline?

Physics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

The change in potential energy of the mass as it goes up the incline is 0.343 joules.

Explanation:

We must remember in this case that change in the potential energy is entirely represented by the change in the gravitational potential energy. From Work-Energy Theorem and definition of work we get that:

U_{g}= m\cdot g\cdot \Delta y

Where:

U_{g} - Gravitational potential energy, measured in Joules.

m - Mass, measured in kilograms.

g - Gravitational acceleration, measured in meters per square second.

\Delta y - Change in vertical height, measured in meters.

This work is the energy needed to counteract effects of gravity at given vertical displacement.

If we know that m = 0.5\,kg, g = 9.807\,\frac{m}{s^{2}} and \Delta y = 0.07\,m, the change in the potential energy of the mass as it goes up the incline is:

U_{g} = (0.5\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (0.07\,m)

U_{g} = 0.343\,J

The change in potential energy of the mass as it goes up the incline is 0.343 joules.

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