Question

Imagine our solar system is in a spherically symmetric dust cloud with uniform density and centred...

Imagine our solar system is in a spherically symmetric dust cloud with uniform density and centred on the sun. Prove the net central force on a plant of mass m is:

F~(r) = −Gm(M⊙/r^2 + (4πρr)/3)(e(hat)r)

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) A spherical dust grain in the solar system has radius, R, and mass density, ρ....
1) A spherical dust grain in the solar system has radius, R, and mass density, ρ. It behaves like a blackbody, absorbing all of the sunlight hitting its surface and radiating light isotropically according to its temperature. 1a) Calculate the ratio of the force of gravity attracting this grain to the Sun to the force of sunlight pushing the grain away. (Note that this ratio does not depend on the distance of the dust grain from the Sun.) 1b) Evaluate...
3. A spherical planet of radius R1 and uniform density pi with a thick spherical cloud...
3. A spherical planet of radius R1 and uniform density pi with a thick spherical cloud of dust (density ρ2 radius R2) is discovered. The astronomers who discovered the planet decided to give it the very intuitive name of "3794 Dusty Planet I b" (a) (2 points) What is the gravity field within the dust cloud? (b) (2 points) What is the force on a particle of mass m placed within the dust cloud? Classical mechanics, if anyone can answer...
Begin with a spherical hydrogen molecular cloud (H2) of 8 solar masses, temperature of 10 K,...
Begin with a spherical hydrogen molecular cloud (H2) of 8 solar masses, temperature of 10 K, and number density nH2 of 1010 m-3. (a) Considering that density is mass/unit volume, if the density of the cloud is uniform, show that the radius of the cloud is R = [3 Msun/(pmHnH2)]1/3. Putting in the numbers, what will be the radius of the cloud? Express your answer in AU. (b) Compare to the Jeans length. Will the cloud collapse?
A space probe (mass m) is designed to explore the outer edges of the solar system....
A space probe (mass m) is designed to explore the outer edges of the solar system. It is propelled by a solar sail, which is made of a large circular sheet of highly reflective fabric. Assume the sun radiated with power P. 1. How much could the propulsion be increased if the radius of the sail were three times larger? 2. Jupiter is about five times as far from the sun as the earth. When the probe reaches jupiter, how...
For the purposes of this problem, treat the Earth as a solid, uniform sphere with mass...
For the purposes of this problem, treat the Earth as a solid, uniform sphere with mass 5.97×1024 kg and radius 6.37×106 m, and assume that the Earth's orbit around the sun is circular with a radius of 1.5×1011 m.   (A) What is the angular kinetic energy of the Earth due to its orbit around the sun? (B) What is the magnitude of the Earth's angular momentum due to its orbit around the sun? (C) What is Earth's angular kinetic energy...
The Earth can be approximated as a sphere of uniform density, rotating on its axis once...
The Earth can be approximated as a sphere of uniform density, rotating on its axis once a day. The mass of the Earth is 5.97×1024 kg , the radius of the Earth is 6.38×106 m , and the period of rotation for the Earth is 24.0 hrs . What is the rotational kinetic energy of the Earth?Express your answer in joules to three significant figures A)Where did the rotational kinetic energy of the Earth come from? . B)Select the option...
Consider a stationary submarine completely submerged in the water in the Pacific Ocean. Take the density...
Consider a stationary submarine completely submerged in the water in the Pacific Ocean. Take the density of sea water to be 1030kg/m^3. a) What is the net force acting on the submarine? b) What is the average density of the submarine (including the air)? c) If the mass of the submarine is 3.5x10^7kg, what is the volume of the submarine? d) What is the buoyancy force acting on the submarine? e) Imagine that the submarine drops a large rock decreasing...
Earth II is a planet in a distant solar system which is earth-like, but a little...
Earth II is a planet in a distant solar system which is earth-like, but a little smaller than our earth. In the distance future, Earth II has been settled by bold travelers from our home planet. Very far from Earth II (effectively at R=∞), a spacecraft has run out of fuel and its kinetic energy is zero. If only the gravitational force of Earth II were to act on the spacecraft (i.e., neglect the forces from the sun and other...
A uniform disk with mass m = 8.88 kg and radius R = 1.3 m lies...
A uniform disk with mass m = 8.88 kg and radius R = 1.3 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 334 N at the edge of the disk on the +x-axis, 2) a force 334 N at the edge of the disk on the –y-axis, and 3) a force 334 N acts at the edge of the disk at an angle θ =...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr = 1000 kg*m2) with a constant force F = 90 N applied tangentially to the edge of the merry-go-round (i.e., the force is perpendicular to the radius). The merry-go-round resists spinning with a frictional force of f = 10 N acting at a radius of 1 m and a frictional torque τ = 15 N*m...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT