Three equal masses are located on a coordinate grid so that the masses and the origin form a square with side length e, as shown in the figure. Find the magnitude and direction of the gravitational field at the origin due to these masses.Find the magnitude of the gravitational field at the origin due to these masses. (Use the following as necessary: m, t, and G.)g=Find the direction of the gravitational field. (Give your answer in degrees counterclockwise from the +x-axis.)1° counterclockwise from the +x-axisNeed Help?Read It

Using field equation in vector notationField due to mass 1 :(F)1 = G mr2 Jdue to mass 2 : f2 = Gm2L2 (i+j)due to f3 : f3 = GmirLg = F1+3+ F2 = GmrL (i+j) + Gm2 rL i2+12| g | = Gmr2 2+12 ⇒ |g| = 1.914 Gm/rLθ = tan-19/221⇒ θ=45°

Answered: Three equal masses are located on a…

Similar questions

Problem#2 Given: Newton’s Gravitational Law states that the force, F, between two bodies with masses m1 and m2, respectively, is given by: F=G(m1m2/r2) where G is the universal gravitational constant, and r is distance between the two bodies. Required: Calculate the gravitational force between two humans of mass 50 kg and 100 kg who are 2, 4, 6, 8, and 10 m
3. An elevator starts from the third floor and moves downward. The v-t graph of a person riding the elevator is given below: t₁ = 0.9 s,t₂ = 1.9 s, t3 = 4.5 s, tv = 7.7 s, v = -1.0 m/s Velocity (m/s) (a) Draw FBD for the person riding the elevator for following cases: Speeding Constant moving Time (s) Slowing (b) What is the apparent weight (in N) of a 50.0 kg person when he/she is slowing down? (Use g = 10 N/kg). Speeding Constant moving Slowing
Problem#2 Given: Newton’s Gravitational Law states that the force, F, between two bodies with masses m1 and m2, respectively, is given by: F=G(m1m2/r2) where G is the universal gravitational constant, and r is distance between the two bodies. Required: Calculate the gravitational force between the Earth and the Moon for an average distance of 385,000 km. Calculate the gravitational force between the Earth and the Sun, and the Earth and Jupiter.
Square A and square B have equal massess, 0.260 kg. Additionally, a smaller square with a mass of 0.010 kg is situated at point P. Find the magnitude and direction for questions. net gravitational force acting on the 0.010 kg square at point P? net gravitational force acting on the 0.260 kg square at point A? net gravitational force acting on the 0.260 kg square at point B?
Tidal forces are gravitational forces exerted on different parts of a object by a second object. Their effects are particularly visible on Earth's surface in the form of tides. To understand the origin of tidal forces, consider Earth-Moon system to consist of two spherical bodies, each with a spherical mass distribution. Let RE be the radius of Earth, m be the mass of the Moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreses with distance, the accelaeration a(near) experienced by a unit mass located at the point on the earth's surface closest to moon is slightly different from the acceleration a(far) experienced by a unit mass located at the point on the earth`s surface farthest from the moon. Give a general expresion for the quantity a(near)- a(far).
Question 1 The Oort Cloud extends out to (possibly) one light- year from the sun. Objects in the Oort Cloud are still gravitationally bound to the sun. Suppose one such iceball orbits the sun in a circle. I'm going to alter some numbers, such as the mass of the sun and even G. The gravitational force is directed toward the sun and has the following magnitude: GMm p2 Calculate the force on the object if these are the numbers: G = 5.1*10-11 N*m?/kg² • M = 2.4*1030 kg • m = 1.0*10® kg r = 7*1015 m Calculate your answer in microNewtons (10-6 N).
Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 1.30 µC charge. (Let A = 1.30 µC, B = 6.80 µC, and C = -4.32 µC.) %3D В 0.500 m 60.0° + A C magnitude N direction ° below the +x-axis
What is the magnitude and direction of the net gravitational force acting on the 0.010 kg sphere at point P? What is the magnitude and direction of the net gravitational force acting on the 0.260 kg sphere at Point A? What is the magnitude and direction of the net gravitational force acting on the 0.260 kg sphere at point B?
A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are useful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the equatorial plane in the same direction as Earth’s rotation). Calculate the radius of such an orbit based on the data for Earth in Appendix D.
In which situation's would angular acceleration be negative? Select all that apply 1. An object is at rest and is starting to rotate clockwise 2. An object is rotating clockwise and speeding up 3. An object is rotating clockwise and speeding up 4. An object is rotating counterclockwise and slowing down
PRINTER VERSION 1 BACK NEXT Chapter 13, Problem 025 Your answer is partially correct. Try again. A solid sphere of uniform density has a mass of 8.7 x 104 kg and a radius of 1.2 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 6.5 kg located at a distance of (a) 4.2 m and (b) 0.34 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance rs 1.2 m from the center of the sphere. (a) Number 2.139E-6 Units (b) Number 2.36E-6 Units (c) |Fon m = k•r, where k = 2.184E-5 IN/m Click if you would like to Show Work for this question: Open Show Work
The diagram below shows three masses at the corners of a square of sides d = 5.10 m. Here, m1 = m2 = m and m3 = 5.10m where m = 2.00 kg. (a) What is the magnitude of the gravitational field at the center of the square due to these three masses?_________m/s2 (b) Suppose the two masses m1 and m2 are not equal. What value of m1 will produce a gravitational field at the center of the square directed vertically down?_________m/s2

SEE MORE QUESTIONS