Question

In: Physics

Earth has a mass of 6.0 x10^24 kg and the moon 7.3 x 10^22 kg. The...

Earth has a mass of 6.0 x10^24 kg and the moon 7.3 x 10^22 kg. The center of the moon is 238,900 miles from the center of Earth.

The moon goes around the Earth-Moon center of mass with a speed of 2,288 miles per hour (3,683 kilometers per hour).

a.)What is the orbital speed of Earth in the Earth-Moon center of mass frame (total momentum is zero)? Please, give your answer in meters per second.

b.) Using the formula for centripetal force, what is the force of gravity exerted by the Earth on the Moon?

c.) Using the formula for centripetal force, what is the force of gravity exerted by the Moon on Earth?

Solutions

Expert Solution

Given,

a) Since the total momentum is zero in the centre of mass frame. Therefore,

                             

                    

b) Force of gravity exerted by the Earth on the Moon,

                  

                                      

c) From Newton's 3rd law,

Force of gravity exerted by the Moon on the Earth =- Force of gravity exerted by the Earth on the Moon

                                      

genius_generous answered 1 year ago
Next > < Previous

Related Solutions

A satellite is in a circular orbit about the earth (ME = 5.98 X10^24 kg). The...
A satellite is in a circular orbit about the earth (ME = 5.98 X10^24 kg). The period of the satellite is 1.40X10^4 s. What is the speed at which the satellite travels?
Assume that the Moon and Titan both have the same mass of 10^22 kg and the...
Assume that the Moon and Titan both have the same mass of 10^22 kg and the same radius of 1000km. Titan is about 10x as far away from the Sun as the Moon. Assume for both bodies a reflectivity of zero and assume they have a no greenhouse temperature. a. Is there a difference in the average no greenhouse temperature of the Moon and Titan? What is it for Titan, and what is it for the Moon? b. Is there...
An imaginary planet has a mass twice as great as the Earth’s (5.97 x 10^24 kg),...
An imaginary planet has a mass twice as great as the Earth’s (5.97 x 10^24 kg), but the same radius (6.38 x 10^6 m). What is the acceleration due to gravity on the surface of the planet? What would be the weight of a 60 - kg robot on that planet? At what altitude (height from the surface of that planet) would a 60-kg person weigh 300 N? The period of rotation of this planet is 20 hours. At what...
An imaginary planet has a mass twice as great as the Earth’s (5.97 x 10^24 kg),...
An imaginary planet has a mass twice as great as the Earth’s (5.97 x 10^24 kg), but the same radius (6.38 x 10^6 m). What is the acceleration due to gravity on the surface of the planet? What would be the weight of a 60 - kg robot on that planet? At what altitude (height from the surface of that planet) would a 60-kg person weigh 300 N? The period of rotation of this planet is 20 hours. At what...
a) What is the angular momentum of the Moon around the Earth? The Moon mass is...
a) What is the angular momentum of the Moon around the Earth? The Moon mass is 7.40e22 kg and it orbits 3.80e8 meters from the Earth. b) And what is the angular momentum of the Earth around the Sun? Mass of the Earth is 5.98e24 kg and it orbits 1.50el 1 m from the Sun.
1. What is the mass of 6.0 x10^23 particles of C7H15O4 2. how many moles of...
1. What is the mass of 6.0 x10^23 particles of C7H15O4 2. how many moles of C8H14O4 does 137.0 mL contain? Density is 1.0 g/mL
The mass of Earth is 5.972 * 1024 kg, and the radius of Earth is 6,371...
The mass of Earth is 5.972 * 1024 kg, and the radius of Earth is 6,371 km. The mass of the moon is 7.348 * 1022 kg, and the radius of the moon is 1,737 km. The centers of the Earth and the moon are separated by 384,400 km. (3A) What is the magnitude of the gravitational acceleration (in m/s2) due to the moon at the near-side surface of Earth? (Hint: The correct answer is between 0.000001 and 5). (3B)...
Planet X has a mass of 6 times the mass of Earth, and its radius is...
Planet X has a mass of 6 times the mass of Earth, and its radius is 8 times the radius of Earth. A rocket takes off from Planet X's surface, with a velocity that is 1/3 vesc, where vesc is the escape velocity of the planet. How high from the center of Planet X does the rocket reach in meters?
The average distance separating earth and the moon is 384,000 kg (center to center). What is...
The average distance separating earth and the moon is 384,000 kg (center to center). What is the Net gravitational force exerted by the earth and the moon on a 2.75x104 kg spaceship located half way between them (take the direction toward earth to be positive? if the spaceship falls toward earth starting from rest at a point where it is located 55,00km above the surface of the earth, what is its velocity at that point?
A star is moving towards a moon. It has mass m = 0.22×109 kg and speed...
A star is moving towards a moon. It has mass m = 0.22×109 kg and speed v1 = 2.6×107 m/s at distance R1 = 2.9×107 m from the center of the moon. The radius of the moon is R = 0.86×107 m. The mass of the moon is M = 8.8×1025 kg. no air is around the moon. a. Calculate the gravitational potential energy PE1 of the star at R1. potential energy is zero at infinity. b. Calculate the total...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT