Which equation represents the total energy of a system?
1 answer:
C) Total Energy = Potential Energy + Kinetic Energy
Explanation:
The total energy of a system (also called mechanical energy) is given by:
where
PE is the potential energy
KE is the kinetic energy
The two types of energy have a different origin:
- Potential energy (PE) is the energy possessed by an object due to its position. It is commonly in the form of gravitational potential energy, which is the energy due to the position of the object in the gravitational field, defined as:
where m is the mass of the system, g the acceleration of gravity, h the heigth of the object relative to the ground
- Kinetic energy (KE), which is the energy possessed by an object due to its motion. It is calculated as
where m is the mass of the system and v is its speed.
Learn more about kinetic and potential energy:
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Answer:
v = 29.4 m / s
Explanation:
For this exercise we can use the conservation of mechanical energy
Lowest starting point.
Em₀ = K = ½ m v²
final point. Higher
= U = m g h
Let's use trigonometry to lock her up
cos 60 = y / L
y = L cos 60
Height is the initial length minus the length at the maximum angle
h = L - L cos 60
h = L (1- cos 60)
energy is conserved
Em₀ = Em_{f}
½ m v² = mgL (1 - cos 60)
v = 2g L (1- cos 60)
let's calculate
v² = 2 9.8 3.0 (1- cos 60)
v = 29.4 m / s