Test Particle a Verify the statement in Section 23 that a ca

Test Particle?

a Verify the statement in Section 2.3 that a can- didate test particde of mass 10 kilograms placed 0.1 mecer from a less massive particle (inicially stationary with respect to it), draws che second toward it by 1 millimeter in less than 3 minutes. If this relative motion is detectable by equipment in use at the test site, the resul a \"cest particle\" Assume that both particles are It disqualifies the 10-kilogram particle as spherically symmerric. Use Newton\'s Law of Gravi- tation: GMm where the gravitation constant G has the value G- 6.673 X 10-11 meter(kilogram-second?). Assume that this force does not change appreciably as the particles decrease separation by one millimeter

Solution

Mass of larger particle = 10kg

mass of smaller = m<M

foce on the particel F = GMm/r²

acceleration of the particle a = F/m = GM/r² = 6.673e-11*10/(0.1)²

                                                = 6.673e-8 m/s²

time to move by 1mm

   1e-3 = 6.673e-8 t² /2

   t= 173 s. it is less than 3 minutes.