Question

a) Your cosmic journey brought you into the vicinity of a neutron star. In fact, you...

a) Your cosmic journey brought you into the vicinity of a neutron star. In fact, you are orbiting this neutron star at an orbital distance of 2,184 kilometers. The neutron star has mass of 1.6 solar masses (MSun = 1.99 × 1030 kg).
What is the local acceleration due to gravity that you experience in your spaceship? Express your answer in m/s2; use scientific notation and round the coefficient to two decimals.

b) What is the escape velocity from Earth’s gravity for a spacecraft launched from the orbit at an altitude of 3,445 kilometers above the Earth surface? Earth’s mean radius is RE = 6.37 ×106 m; Earth's mass is ME = 5.97×1024kg. Express your answer in km/s and round it to two decimals.

c) What is the escape velocity from Sun’s gravity for a spacecraft with mass 6,970 kilograms launched from a distance equal to the Jupiter’s average orbital distance from the Sun i.e. 5.2 AU (1AU = 1.5× 108 km)? MSun = 1.99 × 1030 kg. Express your answer in km/s and round it to two decimals.

d) A comet orbits the Sun in 2,356 years. What is its average orbital distance from the Sun? Express your answer in AU (enter "AU" for units) and round it to the nearest integer.

Homework Answers

Answer #1

PLEASE DO NOT POST THESE MANY QUESTIONS AT ONCE....ONE QUESTION AT A TIME

(a) g = GM / r2

g = 6.67e-11 * 1.6 * 1.99e30 / (2184000)2

g = 4.45e7 m/s2

g = 4.5e7 m/s2

--------------------------------------------------------------------

(b) v (escape) = sqrt (2GM/ r)

v (escape) = sqrt ( 2*6.67e-11 * 5.97e24 / 9815000

v (escape) = 9007.82 m/s

v (escape) = 9 km/s

----------------------------------------------------------------------------------------

(c) same formula as above. use sun's mass not the spacecraft's

v (escape) = sqrt (2GM/ r)

here , M = 1.99 × 1030

r = 5.2*1.5e11 m

----------------------------------------------------------------------------------------------

(d) Use kepler's third law

T2 = 4*pi2*r3 / GM

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
Neutron stars, such as the one at the center of the Crab Nebula, have about the...
Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but a much smaller diameter. If you weigh 670 N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 21.0 km ? Take the mass of the sun to be ms = 1.99×1030 kg , the gravitational constant to be G...
One particular neutron star has a mass equal to 3.00 times the mass of the sun....
One particular neutron star has a mass equal to 3.00 times the mass of the sun. You may consider this neutron star to be a sphere with a uniform density of 3.30×1017 kg/m3 !! ......compare that to the density of lead for example, at 1×104 kg/m3 . (A neutron star is created when a massive star runs out of hydrogen fuel and collapses at the end of its life. The neutron star is a very dense and spins rapidly). If...
If you weigh 690 N on the earth, what would be your weight on the surface...
If you weigh 690 N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 22.0 km ? Take the mass of the sun to be ms = 1.99×1030 kg , the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , and the free-fall acceleration at the earth's surface to be g = 9.8 m/s2 . Express your weight wstar in newtons.
It is the year 2235 and you are the lead Flight Engineer of an operations team1...
It is the year 2235 and you are the lead Flight Engineer of an operations team1 directing the Star Skimmer space mission. Star Skimmer is a satellite that was put into a circular orbit around a neutron star,2 just barely beyond the neutron star’s surface to measure ambient conditions very close to the stellar remnant. The neutron star has a radius ??? = 20.0 km, and mass ??? = 1.42 ?⊙, where ?⊙ = 1.99 × 10^30 kg is the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT