Question

5. Suppose a tunnel runs through Earth from pole to pole, as shown below. Assume that Earth is a nonrotating, uniform sphere. Find the gravitational force on a particle of mass m dropped into the tunnel when it reaches a distance r from Earth s center.
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Mass ooth ME Radius oath RE R E As, M=M RF2 21​​​​​​

Add a comment
Know the answer?
Add Answer to:
5. Suppose a tunnel runs through Earth from pole to pole, as shown below. Assume that...
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
  • Direct flights to Beijing from the East Coast (eg, New York City) typically take -15 hours....

    Direct flights to Beijing from the East Coast (eg, New York City) typically take -15 hours. A hypothetically faster way to travel to the opposite side of the Earth would be to drop an object through:a tunnel drilled through the center o shown to the right. f the Earth along its diameter, as Rp (a) One could prove, using three-dimensional integral calculus techniques, that the gravitational force on an object located on the surface of a (hypothetical) solid, uniform sphere...

  • show all steps please! thank you Problem 2. In the approximation that the Earth is a...

    show all steps please! thank you Problem 2. In the approximation that the Earth is a sphere of uniform density, it can be shown that the gravitational force it exerts on a mass m inside the Earth at a distancer from the center is mg(r/R), where R is the radius of the Earth. Suppose that there is hole drilled along the diameter straight through the Earth and the air was pumped out of the hole. If UPS dropped a package...

  • 2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density...

    2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density ρ--M/V is therefore constant.) a) Find the force of gravity exerted on a point mass m located inside the earth, as a function of its distance from the earth's centre. (You may make use of results derived in class for a thin spherical shell.) b) Find the difference in the gravitational potential energy of the mass, between the centre of the earth and the...

  • Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial...

    Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let FR be the magnitude of the gravitational force on the apple when it is located at the planet's surface. How far from the surface (what multiple of R) is there a point where the magnitude of the gravitational force on the apple is 0.3...

  • A solid sphere of uniform density has a mass of 9.0 × 104 kg and a...

    A solid sphere of uniform density has a mass of 9.0 × 104 kg and a radius of 4.6 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 4.9 kg located at a distance of (a) 16 m and (b) 2.6 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 ≤ 4.6 m from...

  • 3. A particle of mass 1 kg is dropped into a hole drilled straight through Earth...

    3. A particle of mass 1 kg is dropped into a hole drilled straight through Earth (not through the center). The shortest distance between the hole and the center of Earth is d. Neglecting rotational effects and assume Earth has uniform density. (1) If air resistance is negligible, solve the equation of motion to obtain the displacement of the particle as a function of time.

  • Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial...

    Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let FR be the magnitude of the gravitational force on the apple when it is located at the planet's surface. How far from the surface (what multiple of R) is there a point where the magnitude of the gravitational force on the apple is 0.7...

  • I know answer for 1 but two is what I need help with. 1) Determine expressions...

    I know answer for 1 but two is what I need help with. 1) Determine expressions for the electric potential produced by a solid uniformly charged insulating sphere having radius R and charge Q. Determine these expressions at a point, P, which is a distance r from the center of the sphere. Include an expression for the region where r > R (outside the sphere) and an expression for the region where r < R (inside the sphere). Hint: Apply...

  • In figure. 1 below, a particle of mass m is initially at point A, a distance...

    In figure. 1 below, a particle of mass m is initially at point A, a distance d from the center of one uniform sphere and distance 4d from the center of another identical uniform sphere, both of mass M>>m. State whether, if you moved the particle to point D, the following would be positive, negative, or zero and why: a) the change in the gravitational potential energy of the particle. b) the work done by the net gravitational force on...

  • A solid sphere of uniform density has a mass of 3.2 x 104 kg and a...

    A solid sphere of uniform density has a mass of 3.2 x 104 kg and a radius of 1.3 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 7.1 kg located at a distance of (a) 5.4 m and (b) 0.38 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 s 1.3 m from...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT