g According to the Third Law, the action and reaction forces are exactly equal in magnitude and in opposite directions. So when
1 answer:
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Answer:
Em₀ = U = m g h , Em_{f} = K = ½ m v²
Explanation:
When a car is on a ramp it has a certain amount of mechanical energy. At the highest point of the ramp the mechanical energy is fully potential given by
Em₀ = U = m g h
As part of this energy descends down the ramp, part of this energy is transformed into kinetic energy and has one part of each, even though the sum remains the initial energy
Em = K + U = ½ m v² + mg y
y <h
when it reaches the bottom of the ramp it has no height therefore there is no potential energy, all of it has been transformed into kinetic energy
Em_{f} = K = ½ m v²
This energy transformation is in the case that the friction force is zero.
If there is a friction force, it performs work against the low car, it is reflected in an increase in the internal energy (temperature) of the car. In this case the energy in the lower part is less than the initial one by a factor
= - fr L
therefore the numeraire values of the velocity are lower, due to the energy lost by friction.
Answer:
R=9.
C=(2,-2,0).
Explanation:
Lets try to find how can be written in the form of
, since then its radius R and center of coordinates C=(a,b,c) would be easily recognizable.
Since we have the terms -4x and +4y, they seem to have come from the terms and
, and we would need to take care of the extra +4 by substracting then. More explicitly:
, as we had originally with the x terms
, as we had originally with the y terms
Which means:
Or, putting all together:
So our radius is 9 and the center is (2,-2,0).