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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Straight line distance between their home and the store can be solve using cosine law. first is solve the angle which is180 - 45 = 135 degree
C^2 = a^2 + b^2 - 2ab cos(135)c^2 = 5^2 + 5^2 - 2(5)(5) cos(135)c^2 = 85.35c = 9.24 km is the straight line distance between their home and the store
Answer:
The planet will move from east to west for a couple of months in the night sky.
Explanation:
Retrograde motion is an optical effect due to the fact that Earth rotates more quickly than the planet that apparently has a retrograde motion in the sky.
For example, Saturn has a slower speed in its orbit around the Sun. That means that the Earth will pass it, and that will give the effect that the planet is moving backward. That same scenario can be seen between two cars on a highway, the faster car will see the slower car when it passes as it is moving for a short fragment of time in backward.
Remember that the planets in the night sky move from west to east, in the case of a planet with retrograde motion, it will move from east to west for a couple of months.
A physical quantity is a property of a material or system that can be quantified by measurement. A physical quantity can be expressed as the combination of a numerical value and a unit. For example, the physical quantity mass can be quantified as n kg, where n is the numerical value and kg is the unit.
Answer:
For the air:
Final Velocity 160.77m/s
Final Elevation 1,317.43m
the Internal, Kinetic, and Potential Energy changes will be equal.
Explanation:
In principle we know the following:
- <u>Internal Energy:</u> is defined as the energy contained within a system (in terms of thermodynamics). It only accounts for any energy changes due to the internal system (thus any outside forces/changes are not accounted for). In S.I. is defined as
where
is the mass (kg),
is a specific constant-volume (kJ/kg°C) and
is the Temperature change in °C.
- <u>Kinetic Energy:</u> denotes the work done on an object (of given mass
) so that the object at rest, can accelerate to reach a final velocity. In S.I. is defined as
where
is the velocity of the object in (m/s). - <u>Potential Energy:</u> denotes the energy occupied by an object (of given mass
) due to its position with respect to another object. In S.I. is defined as
, where
is the gravity constant equal to
and
is the elevation (meters).
<em>Note: The Internal energy is unaffected by the Kinetic and Potential Energies.</em>
<u>Given Information:</u>
- Temperature Change 0°C → 18°C ( thus
°C ) - Object velocity we shall call it
and
, for initial and final, respectively. Here we also know that 
- Object elevation we shall call it
and
, for initial and final, respectively. Here we also know that 
∴<em> We are trying to find
and
of the air where
,
and
are equal.</em>
Lets look at the change in Energy for each.
<u>Step 1: Change in Kinetic Energy=Change in Internal Energy</u>
Here we recall that
and mass
is the same everywhere. Thus we have:
Eqn(1)
<u>Step 2: Change in Potential Energy=Change in Internal Energy</u>

Here we recall that
and mass
is the same everywhere. Thus we have:

Eqn(2).
Finally by plugging the known values in Eqns (1) and (2) we obtain:


Thus we can conclude that for the air final velocity
and final elevation
the internal, kinetic, and potential energy changes will be equal.