Question

Planets are not uniform inside. Normally, they are densest at the center and have decreasing density...

Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the earth, as having a density that decreases linearly with distance from the center. Let the density be 1.30×10^4 kg/m^3 at the center and 3000 kg/m^3 at the surface.

What is the acceleration due to gravity at the surface of this planet?

Homework Answers

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
The earth is said to be a sphere with a radius of 6370 km. Inside the...
The earth is said to be a sphere with a radius of 6370 km. Inside the earth there is a nucleus and its density is 11.0g/cm^3 and radius is 3000Km, the rest of earth is a mantle (density is 5.00g/cm^3). The core of the nucleus and mantle coincides with the mass center of the earth. In this case, calculate the gravity(received from the earth) acting on particles with a mass of 1.00g as a function of distance from the center...
a) In 2017, NASA announced the discovery of seven planets with sizes similar to the Earth...
a) In 2017, NASA announced the discovery of seven planets with sizes similar to the Earth orbiting a red dwarf star 40 light years away. Based on the data in the table shown, what is the acceleration due to gravity on planet g? (B) Use the orbital data for planet g and Kepler's 3rd Law to find the mass of the star these planets orbit. Give your answer relative to the Sun's mass. For example, if the star were 1/2...
on a different planet, a dog weighs 150 lbs Assume that this 150 lbs is a...
on a different planet, a dog weighs 150 lbs Assume that this 150 lbs is a weight in our usual physics sense (a force), and that on Earth each dog only weighs 5 lbs. (a) What is the acceleration due to gravity near to the surface of this heavy planet? Express your answer in m/s^2. (b) let’s also assume that besides the gravity, it is similar Earth, and it has the same density as Earth (ρ = 5513 kg/m3). What...
Determine the gravitational potential energy, in kJ, of 3 m3 of liquid water at an elevation...
Determine the gravitational potential energy, in kJ, of 3 m3 of liquid water at an elevation of 30 m above the surface of Earth. The acceleration of gravity is constant at 9.7 m/s2 and the density of the water is uniform at 1000 kg/m3. Determine the change in gravitational potential energy if the elevation decreases by 15 m. A. Determine the gravitational potential energy, in kJ, of 3 m3 of liquid water at an elevation of 30 m above the...
Assume a hole is drilled through the center of the Earth. It can be shown that an object of mass m at a distance r from the center of the Earth
Assume a hole is drilled through the center of the Earth. It can be shown that an object of mass m at a distance r from the center of the Earth is pulled toward the center only by the material in the shaded portion of the figure below. Assume Earth has a uniform density ?. Write down Newton's law of gravitation for an object at a distance r from the center of the Earth and show that the force on it...
A solid sphere of uniform density has a mass of 6.1 × 104 kg and a...
A solid sphere of uniform density has a mass of 6.1 × 104 kg and a radius of 2.7 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 2.0 kg located at a distance of (a) 5.9 m and (b) 2.1 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r ? 2.7 m from...
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...
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...
A small container of water is placed on a carousel inside a microwave oven, at a...
A small container of water is placed on a carousel inside a microwave oven, at a radius of 12.0 cm from the center. The turntable rotates steadily, turning through one revolution in each 7.25 s. What angle does the water surface make with the horizontal? Most people that have answered this question have answered it along the lines of this: "The water is traveling in a circle whose radius, r, is .12m (I like to convert all units to kg/m/sec...
1.Zero, a hypothetical planet, has a mass of 4.9 x 1023 kg, a radius of 3.3...
1.Zero, a hypothetical planet, has a mass of 4.9 x 1023 kg, a radius of 3.3 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT