college physics

A small mass M and a small mass 3M are 1.00 m apart. Where should you put a third small mass so that the net gravitational force on it due to the other two masses is zero?

  1. 👍 0
  2. 👎 0
  3. 👁 164
  1. do it this way
    M(x)=3M(100-x)
    x=300-3x
    4x=300
    x=75cm
    or 0.75m

    1. 👍 0
    2. 👎 1
    posted by Aanu
  2. Gravitational force
    =GMm/r²

    So for the mass m between masses M and 3M, one metre apart, equate the gravitational forces:
    GMm/x² = G(3M)m/(1-x)²
    Solve for x.
    [(√3-1)/2]

    1. 👍 0
    2. 👎 1
    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    a small mass M and a small mass 3M are 1.00 m apart. where should you put a third small mass so that the net gravitational force on it due to the other masses is zero

    asked by sam on October 18, 2009
  2. Physics

    A small ball of mass m is placed on top of a large ball of mass 3m. Both balls are dropped simultaneously from a height h = 5.50 m as shown in the figure. Assuming the radius of the large ball and small are small and thus

    asked by Bill on July 11, 2018
  3. phys101

    a hydraulic press contains oil of density=800kg/meter cube,and the areas of the large cylinder=0.5meter squad and area of small cylinder=0.0001meter squad.the mass of the large piston is 51kg,while the small piston has unknown

    asked by KABELO on April 19, 2010
  4. Physics

    Two blocks are connected by a cord passing over a small frictionless pulley. The angle is 30 degrees, and the mass of the small block is m=15kg. If the coefficient of friction between the small block and the inclined plane is .25

    asked by T.J. on May 9, 2014
  5. chemistry

    What instrument is used to determine the mass and relative ambuandaces of small atomic particles? You may be thinking of the mass spectrometer. I'm not sure how small you are talking about but the mass spec is used to determine

    asked by carter on September 26, 2006
  6. chem PLEASE HELP

    WHO MADE THESE ATOMIC DISCOVERIES? An atom has a nucleus that is very small In a reaction, the mass of the products must equal the mass of the reactants. Electrons are negatively charge pieces of matter. An electron has a mass

    asked by Sal on April 14, 2011
  7. Chemistry

    is the molar mass value of a volatile liquid, such as ethanol, high or small? Usually small, but there are exceptions. The ability to be volatile means that the attractive forces between molecules in the liquid and vapor have to

    asked by michelle on January 20, 2007
  8. Physics

    15)A small ball of mass m is aligned above a larger ball of mass M = 1.2 kg (with a slight separation, as with the baseball and basketball of Figure (a)), and the two are dropped simultaneously from height h = 2.4 m. (Assume the

    asked by Anonymous on May 25, 2017
  9. Physics Help

    A small, 200 g cart is moving at 1.50 m/s on an air track when it collides with a larger, 2.00 kg cart at rest. After the collision, the small cart recoils at 0.890 m/s. Q: What is the speed of the large cart after the collision?

    asked by Cat21 on August 6, 2011
  10. Physics

    A pendulum is made of two discs, one with mass M and radius R and the other with mass 2M and radius R, which are separated by a massless rod. The lighter disc is pivoted through its centre by a small pin. The discs lie on the same

    asked by Kagiso Setuke on March 18, 2011

More Similar Questions