Chapter 04, Problem 0297 Your answer is partiallycorrect. Try again.The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma = 322 kg, mg = 589 kg, andto the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C.mc = 185 kg. Take the positive direction to be0.500 m0.250 m

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Answered: Chapter 04, Problem 029 7 Your answer…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 33PQ

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Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
(a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?
The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?
(a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars? The mass of Mars is SW 6.4181023kg and its radius is 3.38106m .
(a) Compute the vector gravitational field at a point P on the perpendicular bisector of the line joining two objects of equal mass separated by a distance 2a as shown in Figure P11.12. (b) Explain physically why the field should approach zero as r 0. (c) Prove mathematically that the answer to part (a) behaves in this way. (d) Explain physically why the magnitude of the field should approach 2GM/r2 as r . (e) Prove mathematically that the answer to part (a) behaves correctly in this limit. Figure P11.12
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.)
The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.
Four uniform spheres, with masses mA= 40 kg,mB = 35 kg, mC = 200 kg, and mD= 50 kg, have (x, y) coordinates of (0, 50 cm),(0, 0), (-80 cm, 0), and (40 cm, 0), respectively. In unit-vector notation,what is the net gravitational force on sphere B due to theother spheres?
Three 10 kg masses are located at distances d1=0.25 m and d2=0.35 m. What are... a. The magnitude and direction of the net gravitational force on A due to both B and C? b. Write the net gravitational force in unit vector notation. c. At what position would you put a 20 kg mass if you wanted the net force on A to be zero, all other masses and positions remaining the same?
Three objects of equal mass m1 = m2 = m3 = 1.15 kg are located on the vertices of an equilateral triangle of length d = 3.40 m. A fourth mass m4 = 15.5 kg is at the center of the triangle. What is the net gravitational force on the mass m1 that is at the origin? Express your answer in vector form. Fnet?
2. Three masses are located in the corners of an equilateral triangle. Find the magnitude and direction gravitational field at the center of the triangle. Given: m1 = 22 kg, m2 = 30 kg, m3 = 30 kg, r= 12 cm. G = 6.674 x 10-11 N•m2/kg2. 3. Four masses are at the vertices of a square. Find the magnitude of the gravitational force on the mass m1. Given: m1 = 6 kg, m2 = 80 kg, m3 = 80 kg, m4 = 80 kg, r = 24 m. G = 6.674 x 10-11 N•m2/kg2. 4. Four masses are located in the corners of a square. Calculate the magnitude and direction of the gravitational field at the center of the square. Given: m1 = 85 kg, m2 = 3 kg, m3 = 3 kg, m4 = 85 kg, r = 8 m. G = 6.674 x 10-11 N•m2/kg2. 5. Two masses m1 = 350 kg and m2 = 350 kg are at a distance of 22 m from each other. Find the magnitude and direction of the gravitational field at a point A. Data: h = 9m, G = 6.674 x 10-11 N•m2/kg2

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