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13 Dec 2019

The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force SM that the sun exerts on the moon is perpendicular to the force EM that the earth exerts on the moon. The masses are: mass of sun = 1.99 1030 kg, mass of earth = 5.98 1024 kg, mass of moon = 7.35 1022 kg. The distances shown in the drawing are rSM = 1.5 1011 m and rEM = 3.85 108 m. Determine the magnitude of the net gravitational force on the moon.

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16 Dec 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

The average distance separating Earth and the Moon (center tocenter) is 384 000 km. Use the data in Table 7.3 to find the netgravitational force exerted by Earth and the Moon on a 3.00 104 kgspaceship located halfway between them.
1 N


Useful Planetary Data Body Mass (kg) Mean Radius (m) Period (s)Distance from Sun (m) T2/r3 (s2/m3)
Mercury 3.18 1023 2.43 106 7.60 106 5.79 1010 2.97 10-19
Venus 4.88 1024 6.06 106 1.94 107 1.08 1011 2.99 10-19
Earth 5.98 1024 6.37 106 3.156 107 1.496 1011 2.97 10-19
Mars 6.42 1023 3.37 106 5.94 107 2.28 1011 2.98 10-19
Jupiter 1.90 1027 6.99 107 3.74 108 7.78 1011 2.97 10-19
Saturn 5.68 1026 5.85 107 9.35 108 1.43 1012 2.99 10-19
Uranus 8.68 1025 2.33 107 2.64 109 2.87 1012 2.95 10-19
Neptune 1.03 1026 2.21 107 5.22 109 4.50 1012 2.99 10-19
Pluto ~1.4 1022 ~1.5 106 7.82 109 5.91 1012 2.96 10-19
Moon 7.36 1022 1.74 106 - - -
Sun 1.991 1030 6.96 108 - - -

I would appreciate help with any of the following problems. Thankyou.

22. In an isometric exercise a person places a hand on a scale andpushes vertically downward, keeping the forearm horizontal. This ispossible because the triceps muscle applies an upward forceperpendicular to the arm, as the figure indicates. The forearmweighs 22.1 N and has a center of gravity as indicated. The scaleregisters 113 N. Determine the magnitude of .
Distance between the force applied by the muscle and the elbowjoint 0.025 m. The distance between the elbow joint and the armscenter of gravity is 0.15 m. Distance between the arms center ofgravity and the center of the scale is 0.15 m. I was not able tofind the answer to this problem using the solution posted on thewebsite.

26.A wrecking ball (weight = 4310 N) is supported by a boom, whichmay be assumed to be uniform and has a weight of 2550 N. As thedrawing shows, a support cable runs from the top of the boom to thetractor. The angle between the support cable and the horizontal is32°, and the angle between the boom and the horizontal is 48°. Find(a) the tension in the support cable and (b) the magnitude of theforce exerted on the lower end of the boom by the hinge at pointP.

56. Two identical wheels are moving on horizontal surfaces. Thecenter of mass of each has the same linear speed. However, onewheel is rolling, while the other is sliding on a frictionlesssurface without rolling. Each wheel then encounters an inclineplane. One continues to roll up the incline, while the othercontinues to slide up. Eventually they come to a momentary halt,because the gravitational force slows them down. Each wheel is adisk of mass 3.64 kg. On the horizontal surfaces the center of massof each wheel moves with a linear speed of 5.26 m/s. (a),(b) Whatis the total kinetic energy of each wheel? (c), (d) Determine themaximum height reached by each wheel as it moves up the incline. Iwas able to solve for the rolling wheel but couldn't find the rightanswers for the sliding wheel.

66. A thin uniform rod is rotating at an angular velocity of 1.89rad/s about an axis that is perpendicular to the rod at its center.As the figure indicates, the rod is hinged at two places,one-quarter of the length from each end. Without the aid ofexternal torques, the rod suddenly assumes a "u" shape, with thearms of the "u" parallel to the rotation axis. What is the angularvelocity of the rotating "u"?

76. A woman who weighs 501 N is leaning against a smooth verticalwall, as the drawing shows. Find (a) the magnitude of the force N(directed perpendicular to the wall) exerted on her shoulders bythe wall and the (b) horizontal and (c) vertical components of theforce exerted on her shoes by the ground.

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