21 25 S 20 20 101 Name: (d) (5 pts) What is the magnitude of the tension in the

Question

21 25 S 20 20 101 Name: (d) (5 pts) What is the magnitude of the tension in the rope required to maintain this system in a state of static equilibrium? 2. (Chapt 13, LO 4) Consider the Earth-Moon system. The mass of the Earth is M-598x1024 kg and the mass of the Moon M-736x lon kg. The Moon orbits in a circle about the Earth and the distance between the center of the Earth and the center of the Moon isr-3.84x10 m (a) (5 pts) What is the magnitude of the gravitational force the Earth exerts on the Moon? (b) (5 pts) What is the magnitude of the gravitational force the Moon exerts on the Earth?

Explanation / Answer

2. (a) Fg = G m1 m2 / r^2

Fg = (6.67 x 10^-11) (5.98 x 10^24)(7.36 x 10^22)/(3.84 x 10^8)^2

Fg = 1.99 x 10^20

(b) magnitude of force will be same = 1.99 x 10^20 N

(C) a = F / m = (1.99 x 10^20) / (7.36 x 10^22)

a = 2.705 x 10^-3 m/s^2

(d) a = w^2 r

w = 2.654 x 10^-6 rad/s

and T = 2 pi / w = 2.37 x 10^6 sec

(e) r = (m1 r1 + m2 r2) / (m1 + m2)

r = [ 0 + (7.26 x 10^22)(3.84 x 10^8)] / (5.97 x 10^24 + 7.26 x 10^22)

r = 4.61 x 10^6 m

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

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