binding energy of a satellite is numerically equal to ,,,,,,,
2 points
potential energy
kinetic energy
total energy
Answers
Answer:
Circular orbits arise whenever the gravitational force on a satellite equals the centripetal force needed to move it with uniform circular motion.
Fc = Fg
mv2 = Gm1m2
rp rp2
v2 = Gm1
r
Substitute this expression into the formula for kinetic energy.
K = ½m2v2
K = ½m2 ⎛
⎜
⎝ Gm1 ⎞
⎟
⎠
r
K = ½ Gm1m2
r
Note how similar this new formula is to the gravitational potential energy formula.
K = + ½ Gm1m2
r
Ug = − Gm1m2
r
K = −½Ug
The kinetic energy of a satellite in a circular orbit is half its gravitational energy and is positive instead of negative. When U and K are combined, their total is half the gravitational potential energy.
E = K + Ug
E = −½Ug + Ug
E = ½Ug
E = − Gm1m2
2r
The gravitational field of a planet or star is like a well. The kinetic energy of a satellite in orbit or a person on the surface sets the limit as to how high they can "climb" out of the well. A satellite in a circular orbit is halfway out (or halfway in, for you pessimists).
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Answer:
the answer to this question is B) Kinetic energy
Explanation:
KE = GMm/2r
BE = - TE = -(-GMm/2r) = GMm/2r