(c) The radius of the Earth (Rp) is 3.7 times the radius of the Moon (RM), and the mass of the Earth (Mp) is 82 times more than the mass of the Moon (MM). What is the numerical value for the ratio you found in the previous question? i. Using the information from 11(c) , write two equations relating the radius and mass, separately, of Earth to those of the Moon. ii. Substitute these two equations into the ratio you found in part (b) and find the numerical value of the ratio. (d) Interpret the number you calculated for the previous question in words. What significance does this number have for the astronauts who landed on the moon? (Hint: What does E mean? What is this ratio comparing?)

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I need help with 11c (i) and (ii).

the first picture is for refference

(c) The radius of the Earth (RE) is 3.7 times the radius of the Moon (RM), and the
mass of the Earth (Mp) is 82 times more than the mass of the Moon (MM). What
is the numerical value for the ratio you found in the previous question?
i. Using the information from 11(c) , write two equations relating the radius and
mass, separately, of Earth to those of the Moon.
ii. Substitute these two equations into the ratio you found in part (b) and find the
numerical value of the ratio.
(d) Interpret the number you calculated for the previous question in words. What
significance does this number have for the astronauts who landed on the moon?
(Hint: What does E mean? What is this ratio comparing?)
9M
Transcribed Image Text:(c) The radius of the Earth (RE) is 3.7 times the radius of the Moon (RM), and the mass of the Earth (Mp) is 82 times more than the mass of the Moon (MM). What is the numerical value for the ratio you found in the previous question? i. Using the information from 11(c) , write two equations relating the radius and mass, separately, of Earth to those of the Moon. ii. Substitute these two equations into the ratio you found in part (b) and find the numerical value of the ratio. (d) Interpret the number you calculated for the previous question in words. What significance does this number have for the astronauts who landed on the moon? (Hint: What does E mean? What is this ratio comparing?) 9M
In the Proportionality Section, you learned that you cannot simply plug numbers into a
proportionality relation to get a numerical answer. You can, however, calculate a numerical
answer from the ratio of two proportionalities! Here is a question where you will apply what
you have learned so far.
11) The gravitational acceleration due to a planet or moon tells you how “heavy" you feel
when you stand on the planet or moon. Gravitational acceleration is proportional to the
mass and radius of the planet or moon in the following way:
M
(6)
R2
Follow the steps in part (a) through (d), find the ratio of the gravitational acceleration
(g) due to the Earth compared to the gravitational acceleration due to the Moon.
(a) Start by writing two proportionalities, one for the Earth, one for the Moon. Use the
following variables:
• Mp: mass of Earth
• MM: mass of Moon
• Rp: radius of Earth
gE: gravitational acceleration of the Earth
Im: gravitational acceleration of the Moon
RM: radius of Moon
(b) Following the example in equation 5, divide the two proportionalities to form a ratio,
i.e., the ratio between the gravitational acceleration of Earth and the gravitational
acceleration of the Moon (i.e., E).
9M
Transcribed Image Text:In the Proportionality Section, you learned that you cannot simply plug numbers into a proportionality relation to get a numerical answer. You can, however, calculate a numerical answer from the ratio of two proportionalities! Here is a question where you will apply what you have learned so far. 11) The gravitational acceleration due to a planet or moon tells you how “heavy" you feel when you stand on the planet or moon. Gravitational acceleration is proportional to the mass and radius of the planet or moon in the following way: M (6) R2 Follow the steps in part (a) through (d), find the ratio of the gravitational acceleration (g) due to the Earth compared to the gravitational acceleration due to the Moon. (a) Start by writing two proportionalities, one for the Earth, one for the Moon. Use the following variables: • Mp: mass of Earth • MM: mass of Moon • Rp: radius of Earth gE: gravitational acceleration of the Earth Im: gravitational acceleration of the Moon RM: radius of Moon (b) Following the example in equation 5, divide the two proportionalities to form a ratio, i.e., the ratio between the gravitational acceleration of Earth and the gravitational acceleration of the Moon (i.e., E). 9M
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