We will see in class howCavendish was able to “weigh the earth”. We also will le

Question

We will see in class howCavendish was able to “weigh the earth”. We also
will learn how Kepler's 3rd Law allows us to calculate the mass ofa body that has a
satellite, if we know the period of the satellite and its distanceto that central mass.
Finally, astronomical distances in the solar system can be measuredusing radar and a bit
of geometry. Given that the Earth's mass is about 5.97 x 1024 kg,its year is about 365.25
days, and it's average distance from the sun is about 150 millionkm:

a) What distance does the Earth travel in one year?
b) b) How fast does the Earth travel in its orbit (m/s)?
b) What is the Earth's average centripetal acceleration?
c) What is the average force that the Sun exerts on the Earth? Howmuch does the Earth
exert on the Sun? We will see in class howCavendish was able to “weigh the earth”. We also
will learn how Kepler's 3rd Law allows us to calculate the mass ofa body that has a
satellite, if we know the period of the satellite and its distanceto that central mass.
Finally, astronomical distances in the solar system can be measuredusing radar and a bit
of geometry. Given that the Earth's mass is about 5.97 x 1024 kg,its year is about 365.25
days, and it's average distance from the sun is about 150 millionkm:

a) What distance does the Earth travel in one year?
b) b) How fast does the Earth travel in its orbit (m/s)?
b) What is the Earth's average centripetal acceleration?
c) What is the average force that the Sun exerts on the Earth? Howmuch does the Earth
exert on the Sun?

Explanation / Answer

m = 5.97*1024 kg, T = 365.25 days, r =1.50*1011 m a) distance d = 2r b) v = d/T c) a = v2/r d) F = ma

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