Question

Using the known radius of the Moon of 1737 km and that the average value of...

Using the known radius of the Moon of 1737 km and that the average value of gravity is 1.625 m/s^2 at the Moon’s surface, find the mass and the average density of the Moon (the universal gravitational constant is 6.674 * 10^-11 N*m^2/kg^2).

Homework Answers

Answer #1

We know

Putting values

So, the mass of the moon is 7.3463 x 1022 kg.

Now, the average density

So, the average density of the moon is 3346.407 kg/m3.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Imagine that an asteroid is approaching the Moon. While far away from the Moon it is...
Imagine that an asteroid is approaching the Moon. While far away from the Moon it is moving at 1 km/s, but as it approaches the Moon, it will accelerate due to the Moon’s gravity. The asteroid has a mass of 1012 kg. The Moon has a mass of 7.35x1022 kg and a radius of 1737 km. A) How fast will the asteroid be moving when it hits the surface of the Moon? B) How much kinetic energy will be released...
On the way to the moon, the Apollo astronauts reach a point where the Moon’s gravitational...
On the way to the moon, the Apollo astronauts reach a point where the Moon’s gravitational pull is stronger than that of Earth’s. Find the distance of this point from the center of the Earth. The masses of the Earth and the Moon are 5.98 × 1024 kg and 7.36 × 1022 kg, respectively, and the distance from the Earth to the Moon is 3.84 × 108 m. Answer in units of m. b) What would the acceleration of the...
8. The mass and density of the moon and Earth. The earth’s mean radius is 6371...
8. The mass and density of the moon and Earth. The earth’s mean radius is 6371 km and its mass is 6.0 x 1024 kg. The moon’s mean radius is 1738 km and its mass is 7.2 x 1022 kg.        a. Calculate Earth’s average density in kg/m3.        b. The average density of Earth’s crust is 2600 kg/m3. What does this tell you about Earth’s interior?        c. Compute the moon’s average density in kg/m3.        d. Compare the...
The Little Prince lives on an asteroid with a radius of 10 km made up of...
The Little Prince lives on an asteroid with a radius of 10 km made up of volcanic rock (density 2,500 kg/m3). His mass is 30 kg. a) What is his weight on the asteroid? On Earth he can jump to a height of 1 m. With that knowledge, he jumps up on the asteroid as hard as he can. b) Will he be able to escape the asteroid? The mass of the Earth is 6 x 1024 kg. The radius...
The Little Prince lives on an asteroid with a radius of 10 km made up of...
The Little Prince lives on an asteroid with a radius of 10 km made up of volcanic rock (density 2,500 kg/m3). His mass is 30 kg. a) What is his weight on the asteroid? On Earth he can jump to a height of 1 m. With that knowledge, he jumps up on the asteroid as hard as he can. b) Will he be able to escape the asteroid? The mass of the Earth is 6 x 1024 kg. The radius...
Calculate, using Newton's law of gravity, the size of the force of attraction between the earth...
Calculate, using Newton's law of gravity, the size of the force of attraction between the earth and a mass of 2.0 kg on the earth. Data: Distance to the center of earth from the surface = 6370 km. Mass of earth = 5.98·1024kg. Gravitational constant G = 6.67·10-11 Nm2/kg2. Calculate, using Newton's law of gravity, the size of the force of attraction between the moon and a mass of 2.0 kg on the earth's surface nearest the moon. Data: Distance...
A small moon has a radius of 758 km. The acceleration due to gravity at its...
A small moon has a radius of 758 km. The acceleration due to gravity at its surface is 1.65 m/s^2. (Assume the moon to be spherical). a) Calculate the escape velocity for a small spaceship trying to leave the moon. b) If it leaves the surface with a radial velocity of 1010 m/s, how far from the surface will it go? c) If the spaceship accidentally drops a crate of cargo from 183.9 km above the surface, with what speed...
The average distance separating Earth and the Moon is 384000 km. Mass of the earth is...
The average distance separating Earth and the Moon is 384000 km. Mass of the earth is 5. 98 x 1024 kg and mass of the moon is 7. 36 x 10 kg. Find the gravitational forces exerted by Earth and the Moon on a 3. 00 x 10 kg spaceship located halfway between them, (G - 6. 67x10 - "Nr / kg)
Consider a spherical, homogeneous planet with a radius of rp=3985 km and a mass of mp=8.97×1024...
Consider a spherical, homogeneous planet with a radius of rp=3985 km and a mass of mp=8.97×1024 kg. A spherical object with a radius of r0=9.21 m and mass m0=868 kg approaches the planet. Part 1) When the object is 5.33×109 km away from the planet, what is the magnitude of the force the planet exerts on the object? F= N Part 2) When the object is 8.10 m above the surface of the planet, what is the magnitude of the...
1) Find the magnitude of the gravitational force a 69.6 kg person would experience while standing...
1) Find the magnitude of the gravitational force a 69.6 kg person would experience while standing on the surface of Earth with a mass of 5.98 × 1024 kg and a radius of 6.37 × 106 m. The universal gravitational constant is 6.673 × 10−11 N · m2 /kg^2 Answer in units of N. 2) Find the magnitude of the gravitational force on Mars, with a mass of 6.34 × 1023 kg and a radius of 3.43 × 106 m....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT