The Earth has mass 5.98 × 1024 kg, the Moon has mass 7.35 × 1022 kg, and the distance between them is 384, 000 km. (a) Determine the magnitude of the force that the Earth exerts on the Moon. (b) Determine the magnitude of the force that the Moon exerts on the Earth. (c) Determine the Moon's acceleration, assuming that it orbits the centre of the Earth at a constant speed. m/s? (d) Determine the Moon's speed, assuming that it travels at a constant speed in a circular orbit around the Earth. m/s (e) Determine the circumference of the Moon's orbit, assuming that it travels at a constant speed in a circular orbit around the Earth. m (f) Determine the period of the Moon's orbit, assuming tha it travels at a constant speed in a circular orbit around the Earth. S = days

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter7: Gravity
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Problem 37PQ: The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 ...
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The Earth has mass 5.98 × 1024 kg, the Moon has mass 7.35 × 1022 kg, and the
distance between them is 384, 000 km.
(a) Determine the magnitude of the force that the Earth exerts on the Moon.
(b) Determine the magnitude of the force that the Moon exerts on the Earth.
(c) Determine the Moon's acceleration, assuming that it orbits the centre of the Earth at a
constant speed.
m/s?
(d) Determine the Moon's speed, assuming that it travels at a constant speed in a circular orbit
around the Earth.
m/s
(e) Determine the circumference of the Moon's orbit, assuming that it travels at a constant speed
in a circular orbit around the Earth.
m
(f) Determine the period of the Moon's orbit, assuming that it travels at a constant speed in a
circular orbit around the Earth.
S =
days
Transcribed Image Text:The Earth has mass 5.98 × 1024 kg, the Moon has mass 7.35 × 1022 kg, and the distance between them is 384, 000 km. (a) Determine the magnitude of the force that the Earth exerts on the Moon. (b) Determine the magnitude of the force that the Moon exerts on the Earth. (c) Determine the Moon's acceleration, assuming that it orbits the centre of the Earth at a constant speed. m/s? (d) Determine the Moon's speed, assuming that it travels at a constant speed in a circular orbit around the Earth. m/s (e) Determine the circumference of the Moon's orbit, assuming that it travels at a constant speed in a circular orbit around the Earth. m (f) Determine the period of the Moon's orbit, assuming that it travels at a constant speed in a circular orbit around the Earth. S = days
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