physics

Consider the limit on increasing the gravitational force by bringing the masses closer together. The two spheres of osmium cannot have their centers closer than the sum of their radii, and if the radii are made smaller, the masses decrease. To what power of the radius r is the mass of each sphere proportional?


In proportion to what power of r does the smallest separation of the sphere centers vary?


So the attraction between the spheres of maximum mass at smallest separation increases as r to what power?

  1. 👍
  2. 👎
  3. 👁
  1. force= GMm/r^2 but you want m=kr^3 and M = kr^3 because mass is proportional to volume (assuming the radi is the same on each sphere).

    force=Gk^2(r^6/r^2)=Constant*r^4

    1. 👍
    2. 👎
    👤
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. physic

    The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force SM that the sun exerts on the moon is perpendicular to the force EM that the earth exerts on the moon. The masses are: mass of sun

  2. Physics !!Check Answers!!

    1. What happens to the gravitational force between two objects if the distance between them triples? A. The force increases by a factor of 3 B. The force decreases by a factor of 9 C. The force increases by a factor of 9 D. The

  3. Physics

    Four identical masses of 800kg each are placed at the corners of a square whose side length is 10.0cm. What is the net gravitational force (magnitude and direction) on one of the masses, due to the other three? I think I have to

  4. physics

    Two objects, with masses m1 and m2, are originally a distance r apart. The gravitational force between them has a magnitude F. The second object has its mass changed to 4m2, and the distance is changed to r/7. What is the ratio

  1. physics

    The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force that the sun exerts on the moon is perpendicular to the force that the earth exerts on the moon. The masses are: mass of sun=1.99

  2. Physics

    The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force Fsm that the sun exerts on the moon is perpendicular to the force Fem that the earth exerts on the moon. The masses are: mass of

  3. Physics (Gravitation)

    In Fig. 13-25, three particles are fixed in place. The mass of B is greater than the mass of C. Can a fourth particle (particle D) be placed somewhere so that the net gravitational force on particle A from particles B, C, and D is

  4. Physics

    The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force that the sun exerts on the moon is perpendicular to the force that the earth exerts on the moon. The masses are: mass of sun=1.99

  1. physics

    The gravitational force that the sun exerts on the moon is perpendicular to the force that the earth exerts on the moon. The masses are: mass of sun=1.99 × 1030 kg, mass of earth=5.98 × 1024 kg, mass of moon=7.35 × 1022 kg. The

  2. physics

    Two masses m1 and m2 exert a gravitational force of 12 N onto each other when they are 6 m apart. What will the gravitational force be if the masses are moved closer to be 3 m apart? 48 N 6 N 24 N 3 N

  3. physics

    The gravitational force that the sun exerts on the moon is perpendicular to the force that the earth exerts on the moon. The masses are: mass of sun=1.99 × 1030 kg, mass of earth=5.98 × 1024 kg, mass of moon=7.35 × 1022 kg. The

  4. Physics

    Two charges q1 and q2 exert a 90 N electrostatic force onto each other when they are 1 m apart. They are moved further away to a distance of 3 m. What will the new electrostatic force be? 30 N 810 N 10 N 270 N* What is the

You can view more similar questions or ask a new question.