A student proposes to measure the gravitational constant G by suspending two sph

Question

A student proposes to measure the gravitational constant Gby suspending two spherical objects from the ceiling of a tallcathedral and measuring the deflection of the cables from thevertical. Draw a free-body diagram of one of the objects. (Do thison paper. Your instructor may ask you to turn in this work.)

If two 135.0 kg objects are suspendedat the lower ends of cables 40.00 mlong and the cables are attached to the ceiling 1.000 m apart, whatis the deflection of each object? (Use 1.000 m for the distance inthe gravitational force and assume that the deflection is extremelysmall.)
m

Explanation / Answer

m = 135.0 kg, L = 40.00 m, d = 1.000 m when equilibrium, the cable will make angle withvertical. gravitaional force F = Gm2/d2 tan = F/(mg) deflection = Lsin ˜ L*tan = L*F/(mg) =L*Gm/(gd2) = 3.68*10-8 m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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