Question

# Two spherically symmetric planets with no atmosphere have the same average density, but planet B has...

Two spherically symmetric planets with no atmosphere have the same average density, but planet B has twice the radius of planet A. A small satellite of mass mA has period TA when it orbits planet A in a circular orbit that is just above the surface of the planet. A small satellite of mass mB has period TB when it orbits planet B in a circular orbit that is just above the surface of the planet. How does TB compare to TA?

#### Homework Answers

Answer #1

let M_A and M_B are the mass of the planets.

mass = density*volume

= rho*(4/3)*pi*R^3

so,

M_B = 8*MA

we know,

Time period of a satellite,

T = 2*pi*r^(3/2)/sqrt(G*M)

so,

TA = 2*pi*RA^(3/2)/(G*M_A)

TB = 2*pi*RB^(3/2)/(G*M_B)

TB/TA = sqrt(M_A/M_B)*(RB/RA)^(3/2)

= sqrt(1/8)*(2)^(3/2)

= 1 <<<<-------------------Answer

so, TA and TB are same.

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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
• ### Two planets have the same surface gravity, but planet B has twice the mass of planet...

Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B? A) B)r C) We were unable to transcribe this image

• ### A spherically symmetric planet has 2 times the Earth's mass and twice its radius. If a...

A spherically symmetric planet has 2 times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12N on the Earth, how much would it weigh on the surface of this planet? depends if it's Skippy creamy or super-chunky peanut butter.

• ### 10. Two satellites are in circular orbits around a planet that has radius 9.00 × 106...

10. Two satellites are in circular orbits around a planet that has radius 9.00 × 106 m. One satellite has mass 68.0 kg, orbital radius 5.00 × 107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 × 107 m. what is the orbital spced of this second satel!lite? 1 International Space Station. The International Space Station makes 15.65 revolutions per day in its orbit around the earth. Assuming a circular orbit,...

• ### a satellite orbits around this planet at a speed of 930m/s what is its radius of...

a satellite orbits around this planet at a speed of 930m/s what is its radius of orbit r (in km)? what is the satellite’s height (in km) above the surface of the planet? LTE @ 10 97% TEW Done 5:25 AM app.varafy.com satellite The figure shows a satellite orbitig around a planet in a uniform circular motion. To solve such problems, spply Newton's second law: Fnet = ma What is the force exerted on the satellite by the planet? Write...

• ### A planet has two small satellites in circular orbits around the planet. The first satellite has...

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 12.0 hours and an orbital radius 6.00 x 107. The second planet has a period of 16.0 hours. What is the orbital radius of the second satellite?

• ### Satellite A has twice the mass of satellite B, and circles in the same orbit. Compare the two satellite's speeds. The s...

Satellite A has twice the mass of satellite B, and circles in the same orbit. Compare the two satellite's speeds. The speed of B is twice the speed of A. The speed of Bis half the speed of A. A. The speed of Bis one-fourth the speed of A. The speed of B is equal to the speed of A. The speed of Halley's Comet, while traveling in its elliptical orbit around the Sun, O is constant increases as it...

• ### Two moons orbit a planet in circular orbits. The first has an orbital radius of r1...

Two moons orbit a planet in circular orbits. The first has an orbital radius of r1 and a period of T1. The second has twice the orbit radius as the first. Find the period of the second planet. 4.8T1 1.4T1 2.8T1 3.8T1

• ### Question 1 6.25 pts = = The planet Duxo has a mass of тр 7.77 x...

Question 1 6.25 pts = = The planet Duxo has a mass of тр 7.77 x 1027 kg and a radius of RD 7770 km. A satellite, whose mass is ms 77.7 kg, orbits Duxo at a height of h = 777 km above the Duxonian surface. What is the period of the satellite's orbit? Question 11 6.25 pts = The planet Duxo has a mass of mp 7.77 x 1027 kg and a radius of RD 7770 km. A...

• ### Suppose that humans have created a colony outside of our solar system on a planet called...

Suppose that humans have created a colony outside of our solar system on a planet called Cheops5. Cheops5 has a mass of 1.00×1025 kg and a day that lasts 27.0 h (which defines the rotational period of the planet). The colony is located on the equator of the planet. The colonists set up a communications satellite which orbits Cheops5. The satellite has a circular orbit that keeps it positioned directly above the colony. Calculate the radius ? of the satellite's...

• ### 5. [2pt] The small spherical planet called Glob has a mass of 7.80x1018 kg and a...

5. [2pt] The small spherical planet called Glob has a mass of 7.80x1018 kg and a radius of 6.20x104 m). A 27.0 kg satellite is in a circular orbit around the planet at a height of 1.40x105 m above the planet's surface. Calculate the speed of the satellite. Answer: Submit Al Answers

ADVERTISEMENT
Free Homework Help App

Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?

Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT