Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.03 × 104 m/s. The mass of the planet is M = 5.94 × 1024 kg. The mass of the satellite is m = 8.2 × 10³ kg. R

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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Please answer parts f-j
Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It
moves in a constant speed of v = 1.03 × 104 m/s. The mass of the planet is M = 5.94 × 1024 kg.
The mass of the satellite is m = 8.2 × 10³ kg.
Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v.
KE =
B
7
8
9
НОМЕ
d.
G
↑^
4
5
6.
h
i
j
1
2
3
M
P
END
R
t
V
BACKSPAC
DEI CLEAR
Submit
Hint
I give up!
Feedback
(b) Calculate the value of KE in joules.
KE = 4.35 * 1011
KE = 4.35E+11
Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G.
F=((GMm)/( R² ))
Part (d) Enter an expression for the centripetal acceleration of the satellite ac in terms of the speed of the satellite, v, and R.
a = (v² )/( R ) V
Part (e) Enter an expression for the radius R in terms of G, M and v.
R= ((GM )/( v² ))
Part (f) Calculate the value of R in meters.
Feedback: is available.
Part (g) Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R.
Part (h) Calculate the value of PE in joules.
Part (i) Enter an expression for the total energy E of the satellite in terms of m and v.
Part (j) Calculate the value of the total energy E in joules.
Transcribed Image Text:Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.03 × 104 m/s. The mass of the planet is M = 5.94 × 1024 kg. The mass of the satellite is m = 8.2 × 10³ kg. Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v. KE = B 7 8 9 НОМЕ d. G ↑^ 4 5 6. h i j 1 2 3 M P END R t V BACKSPAC DEI CLEAR Submit Hint I give up! Feedback (b) Calculate the value of KE in joules. KE = 4.35 * 1011 KE = 4.35E+11 Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. F=((GMm)/( R² )) Part (d) Enter an expression for the centripetal acceleration of the satellite ac in terms of the speed of the satellite, v, and R. a = (v² )/( R ) V Part (e) Enter an expression for the radius R in terms of G, M and v. R= ((GM )/( v² )) Part (f) Calculate the value of R in meters. Feedback: is available. Part (g) Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R. Part (h) Calculate the value of PE in joules. Part (i) Enter an expression for the total energy E of the satellite in terms of m and v. Part (j) Calculate the value of the total energy E in joules.
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