Three objects of mass m are located at three corners of a square of edge length

Question

Three objects of mass m are located at three corners of a square of edge length l, as shown in the diagram. The (x,y) co-ordinates of the masses are (l,0), (0,l), and (l,l).

QUESTION: If m = 10.0 kg and l = 1.50 m, what is the magnitude of the gravitational acceleration at the origin?

THANKS FOR YOUR HELP!!

Three objects of mass m are located at three corners of a square of edge length l, as shown in the diagram. The (x,y) co-ordinates of the masses are (l,0), (0,l), and (l,l). QUESTION: If m = 10.0 kg and l = 1.50 m, what is the magnitude of the gravitational acceleration at the origin?

Explanation / Answer

let g1 = gravitational acceleration by upper side mass

g1 = G.m/L2

let g2 = gravitational acceleration by right side mass

g2 = G.m/L2

gR = √( g12 + g22 ) = (G.m/L2).√2

let g3 = gravitational acceleration by diagonal mass

g3 = G.m/(L√2)2 = G.m/2L2

gtot = gR + g3 = [(G.m/L2).√2 + G.m/2L2] = G.m/L2.[√2 + 0.5]

gtot = 6.67x10-11.10/(1.52).[√2 + 0.5] = 5.67x10-10 N

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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