science

two balls of masses 5m and m have radii 2r and r.their center of masses are separated by 10r.they move towards each other under their gravitational force. the distance moved by the centre of smaller sphere when the sheres touch each other?

  1. 👍 0
  2. 👎 0
  3. 👁 61
asked by vamshi
  1. center of gravity does not move.
    5 kg and 1 kg balls
    radii 2 and 1
    call x = 0 at center of 5 kg ball
    Original:
    then find CG
    5(0) + 1 (10) = 6 (Xcg)
    Xcg = 5/3
    Final
    5 Xbig + 1 Xsmall = 6 (5/3) = 10
    Xsmall - Xbig = 3 or Xsmall = Xbig+3
    so
    5 Xbig + Xbig+ 3 = 10
    6 Xbig = 7
    Xbig = 7/6
    Xsmall = 7/6 + 18/6 = 25/6
    so small ball moved
    10 - 25/6 = (60-25)/6 = 35/6

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    our class was given an extra credit assignment where we have to design a mobile that has both the net forces and torques = 0. i have all of the masses know i just don't know how to find radii. no two masses can be in the same

    asked by anne on July 3, 2009
  2. Physics

    Three balls with masses of 4 g, 6 g, and 4 g,respectively, are connected by massless rods. The balls are located (in meter intervals).What is the x-coordinate of the center of mass? Answer in units of m

    asked by Amber on March 31, 2012
  3. physics

    A dumbbell has a mass m on either end of a rod of length 2a. The center of the dumbbell is a distance r from the center of the Earth, and the dumbbell is aligned radially. If r≫a, the difference in the gravitational force

    asked by brooklyn on December 1, 2015
  4. Physics Help

    A dumbbell has a mass m on either end of a rod of length 2a. The center of the dumbbell is a distance r from the center of the Earth, and the dumbbell is aligned radially. If r≫a, the difference in the gravitational force

    asked by jacob on December 7, 2015
  5. Physics

    Two masses, mA = 40.0 kg and mB = 55.0 kg, are connected by a massless cord that passes over a pulley that is free to rotate about a fixed axis. This device is known as an Atwood’s Machine. The pulley is a solid cylinder of

    asked by Cheese on October 23, 2014
  6. Astronomy

    Two bodies with equal masses orbit the Sun in a circular orbit. If the radii of the two orbits are the same then following is true: a) The orbital period of the two bodies is the same because their masses are the same. b) Their

    asked by Alex on February 11, 2009
  7. physics

    Three balls A, B, and C, with masses of 3 kg, 1 kg, and 1 kg, respectively, are connected by massless rods. What are the coordinates of the center of mass?

    asked by Samuel on October 13, 2008
  8. chm

    Why are the atomic masses listed in the periodic table not whole numbers? Answer Scientists have yet to make the precise measurements. That would be too much of a coincidence. ??>>The atomic masses are average atomic masses. or

    asked by jj on February 23, 2013
  9. physics

    If two different masses have the same kinetic energy, their momenta are: 1. inversely proportional to their masses 2. inversely proportional to the square roots of their masses 3. proportional to the squares of their masses 4.

    asked by Anonymous on October 28, 2011
  10. Physics

    You are flying to the Moon. Find the point at which the gravitational attractions of Earth and Moon on you will be equal and opposite. Given: radius of the moon: 1.74*10^6 m radius of the earth: 6.38*10^6 m orbital radius of the

    asked by Katie on June 14, 2007

More Similar Questions