Problem 7: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.5 x 107 m. The mass of the planet is M = 2.8 x 1024 kg. Part (a) Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite Expression: F = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, i, j, m, M, P, R, t, v Part (b) Express the magnitude of the centripetal acceleration a, of the satellite in terms of the speed of the satellite v, and R. Expression : a. = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g, G, h, i, j, m, M, P, R, t, v Part (c) Express the speed v in terms of G, M and R. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g, G, h, i, j, m, M, P, R, t, v Part (d) Calculate the numerical value of v, in m/s. Numeric : A numeric value is expected and not an expression. v =

Physics for Scientists and Engineers: Foundations and Connections
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Chapter7: Gravity
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Please answer question 7 parts b-d

Problem 7: A satellite is orbiting around a planet in a circular orbit. The radius of the
orbit, measured from the center of the planet is R = 1.5 x 10' m. The mass of the planet
is M = 2.8 × 1024
kg.
V
R
Part (a) Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite.
Expression :
F =
Select from the variables below to write your expression. Note that all variables may not be required.
a., B, 0, d, g, G, h, i, j, m, M, P, R, t, v
Part (b) Express the magnitude of the centripetal acceleration a, of the satellite in terms of the speed of the satellite v, and R.
Expression :
ac =
Select from the variables below to write your expression. Note that all variables may not be required.
a., B, 0, d, g, G, h, i, j, m, M, P, R, t, v
Part (c) Express the speed v in terms of G, M and R.
Expression :
((GM)//B)
v =
Select from the variables below to write your expression. Note that all variables may not be required.
a, ß, 0, d, g, G, h, i, j, m, M, P, R, t, v
Part (d) Calculate the numerical value of v, in m/s.
Numeric : A numeric value is expected and not an expression.
y =
Transcribed Image Text:Problem 7: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.5 x 10' m. The mass of the planet is M = 2.8 × 1024 kg. V R Part (a) Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. Expression : F = Select from the variables below to write your expression. Note that all variables may not be required. a., B, 0, d, g, G, h, i, j, m, M, P, R, t, v Part (b) Express the magnitude of the centripetal acceleration a, of the satellite in terms of the speed of the satellite v, and R. Expression : ac = Select from the variables below to write your expression. Note that all variables may not be required. a., B, 0, d, g, G, h, i, j, m, M, P, R, t, v Part (c) Express the speed v in terms of G, M and R. Expression : ((GM)//B) v = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g, G, h, i, j, m, M, P, R, t, v Part (d) Calculate the numerical value of v, in m/s. Numeric : A numeric value is expected and not an expression. y =
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