A planet of mass 3 x 1024 kg is at location (6 x 1011,-4 x 1011, 0) m. A star of mass 4 x 1030 kg is at location (-4 x 1011, 4 x 10¹1, 0) m. It will be useful to draw a diagram of the situation, including the relevant vectors. (a) What is the relative position vector pointing from the planet to the star? 7=(-10e11, 8e11,0) (b) What is the distance between the planet and the star? Irl = 12.8e11 m (c) What is the unit vector in the direction of ? = (0.78125, 0.625, 0) m X (d) What is the magnitude of the force exerted on the planet by the star? Fon planet! = N (e) What is the magnitude of the force exerted on the star by the planet? Fon starl=[ N (f) What is the force (vector) exerted on the planet by the star? (Note the change in units.) Fon planet x 1020 N Additional Materials (g) What is the force (vector) exerted on the star by the planet? (Note the change in units.) Fon star= x 1020 N eBook

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A planet of mass 3 x 1024 kg is at location (6 x 10¹1, -4 x 10¹¹, 0) m. A star of mass 4 x 10³0 kg is at location (-4 × 10¹¹, 4 × 10¹¹, 0) m. It will be useful to draw a diagram of the situation, including the relevant vectors.
(a) What is the relative position vector r pointing from the planet to the star?
7 = (-10e11, 8e11,0)
(b) What is the distance between the planet and the star?
r = 12.8e11
m
(c) What is the unit vector in the direction of r?
(0.78125, 0.625, 0)
m
X
(d) What is the magnitude of the force exerted on the planet by the star?
|Fon planet! =
N
(e) What is the magnitude of the force exerted on the star by the planet?
|Fon starl =
N
(f) What is the force (vector) exerted on the planet by the star? (Note the change in units.)
Fon planet =
x 1020 N
Additional Materials
(g) What is the force (vector) exerted on the star by the planet? (Note the change in units.)
Fon star =
x 1020 N
eBook
Transcribed Image Text:A planet of mass 3 x 1024 kg is at location (6 x 10¹1, -4 x 10¹¹, 0) m. A star of mass 4 x 10³0 kg is at location (-4 × 10¹¹, 4 × 10¹¹, 0) m. It will be useful to draw a diagram of the situation, including the relevant vectors. (a) What is the relative position vector r pointing from the planet to the star? 7 = (-10e11, 8e11,0) (b) What is the distance between the planet and the star? r = 12.8e11 m (c) What is the unit vector in the direction of r? (0.78125, 0.625, 0) m X (d) What is the magnitude of the force exerted on the planet by the star? |Fon planet! = N (e) What is the magnitude of the force exerted on the star by the planet? |Fon starl = N (f) What is the force (vector) exerted on the planet by the star? (Note the change in units.) Fon planet = x 1020 N Additional Materials (g) What is the force (vector) exerted on the star by the planet? (Note the change in units.) Fon star = x 1020 N eBook
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