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:
Where:
- Gravitational potential energy, measured in Joules.
- Mass, measured in kilograms.
- Gravitational acceleration, measured in meters per square second.
- 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 
, 
and 
, the change in the potential energy of the mass as it goes up the incline is:
The change in potential energy of the mass as it goes up the incline is 0.343 joules.
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The formula for Kinetic energy is:
KE (Kinetic Energy) = 1/2 M (mass) x V (velocity) ^2
Substitute the known values into the equation:
KE = 1/2 (315) x (5.12)^2
Find out the values in sections (split the formula in half)
1/2 x 315 = 157.5
5.12^2 = 26.2144
Now times the answers together to complete the formula.
157.5 x 26.2144 = 4,128.768 km^2/s
