Test Particle? a Verify the statement in Section 2.3 that a can- didate test par

Question

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

Explanation / Answer

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.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.