Three masses, MA = MB = Mc = M are placed at the verticesof a right triangle (l i ), as shown in thefigure below. The distance between M, and Mg is similarto that between Mc and Mp and is equal to R. Themagnitude of the net gravitational force exerted on Mg isgiven by:%3D%3D%3DMA1.41 (GM/R)1.41 (GM/R²)C. 1.41 (GM2/R?)1.41 (G²M/R²)1.41 (G²M²/R²)А.В.RС.MgRMcABCD E

Given data- Three masses MA=MB=MC=M The distance between masses in figure =R Let gravitational force…

Three masses, MA = Mg = Mc = M are placed at the vertices of a right triangle ( ljE & ), as shown in the figure below. The distance between M and Mg is similar to that between Mc and Mg and is equal to R. The magnitude of the net gravitational force exerted on Mg is given by: %3D %3D %3D MA 1.41 (GM/R) 1.41 (GM/R²) 1.41 (GM²/R²) 1.41 (G?M/R2) E. 1.41 (G2M²/R2) А. B. R С. D. MB R Mc

Three masses, MA = Mg = Mc = M are placed at the vertices of a right triangle ( ljE & ), as shown in the figure below. The distance between M and Mg is similar to that between Mc and Mg and is equal to R. The magnitude of the net gravitational force exerted on Mg is given by: %3D %3D %3D MA 1.41 (GM/R) 1.41 (GM/R²) 1.41 (GM²/R²) 1.41 (G?M/R2) E. 1.41 (G2M²/R2) А. B. R С. D. MB R Mc

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 10P

See similar textbooks

Similar questions

Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)
Show that for eccentricity equal to one in Equation 13.10 for conic sections, the path is a parabola. Do this by substituting Cartersian coordinates, x and y, for the polar coordinates, r and , and showing that it has the general form for a parabola, x=ay2+by+c .
Compute directly the gravitational force on a unit mass at a point exterior to a homogeneous sphere of matter.
Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass,m. Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal accleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle , defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere. tan(+)=gg2REtan , where is the angular velocity of Earth.
On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?
Check Your Understanding Why not use the simpler expression U=mg(y2y1) ? How significant would the error be? (Recall the previous result, in Example 13.4, that the value g at 400 km above the Earth is 8.67m/s2 .)
Following the technique used in Gravitation Near Earth’s Surface, find the value of g as a function of the radius r from the center of a spherical shell planet of constant density with inner and outer radii Rin and Rout . Find g for both eq and for RinrRout . Assuming the inside of the shell is kept airless, describe travel inside the spherical shell planet.
Check Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but far away from Earth (so that it can be ignored). How could you redirect your tangential velocity to the radial direction such that you could then pass by Mars’s orbit? What would be required to change just the direction of the velocity?
Show that the areal velocity for a circular orbit of radius r about a mass M is At=12GMr . Does your expression give the correct value for Earth’s areal vilocity about the Sun?
Find the Hohmann transfer velocities, vEllipseEarth and vEllipseMars ,needed for a trip to Mars. Use Equation 13.7 to find the circular orbital velocities for Earth and Mars. Using Equation 13.4 and the total energy of the ellips (with semi-major asix a), given by E=GmMs2a , find the velocities at Earth (perihelion) and at Mars (aphelion) required to be on the transfer ellipse. The difference, v , at each point is the velocity boost or transfer velocity needed.
Assume a planet is a uniform sphere of radius R that(somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywherealong the tunnel or outside the sphere. Let FR be the magnitudeof the gravitational force on the apple when it is located atthe planet’s surface. How farfrom the surface is there a pointwhere the magnitude is FR ifwe move the apple (a) awayfrom the planet and (b) intothe tunnel?
Two identical space probes, each of mass 2.00 x 10 4 kg are “parked” in outerspace. If they are separated initially by 1.00 km, how long (in hours) will it takefor the distance between them to decrease by 1.00 m, due to gravitationalattraction? (Assume that the gravitational force remains constant as theprobes move closer to each other.)