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 x 10ʻ m/s. The mass of the planet is M = 5.94 x 1024 kg. The mass of the satellite is m = 8.2 x 103 kg. V R ...... Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Expression : KE = 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 (b) Calculate the value of KE in joules. Numeric : A numeric value is expected and not an expression. KE = Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. Expression : F = 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) Enter an expression for the centripetal acceleration of the satellite a, 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. y. 0, d, g. G, h, i, j, k, m, M, n, P. R, S, t, v
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 x 10ʻ m/s. The mass of the planet is M = 5.94 x 1024 kg. The mass of the satellite is m = 8.2 x 103 kg. V R ...... Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Expression : KE = 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 (b) Calculate the value of KE in joules. Numeric : A numeric value is expected and not an expression. KE = Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. Expression : F = 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) Enter an expression for the centripetal acceleration of the satellite a, 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. y. 0, d, g. G, h, i, j, k, m, M, n, P. R, S, t, v
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Gravitation Q4: Please answer all parts and explain all reasonings for each step (even if minor)
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 x
1024 kg. The mass of the satellite is m = 8.2 x 103 kg.
V
R
Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v.
Expression :
KE =
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 (b) Calculate the value of KE in joules.
Numeric : A numeric value is expected and not an expression.
KE =
Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G.
Expression :
F =
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) Enter an expression for the centripetal acceleration of the satellite a, 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, ß. y. 0, d, g, G, h, i, j, k, m, M, n, P, R, S, t, v
Part (e) Enter an expression for the radius R in terms of G, M and v.
Expression :
R =
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 (f) Calculate the value of R in meters.
Numeric : Anumeric value is expected and not an expression.
R =
Part (g) Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R.
Expression :
PE =
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 (h) Calculate the value of PE in joules.
Numeric : A numeric value is expected and not an expression.
PE =
Part (i) Enter an expression for the total energy E of the satellite in terms of m and v.
Expression :
E =
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 (j) Calculate the value of the total energy E in joules.
Numeric : A numeric value is expected and not an expression.
E =
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