One dimension. In the figure, two point particles are fixed on an x axis separated by distance d. Particle A has mass mA and particle B has mass 5.00 mA. A third particle C, of mass 88.0 mA, is to be placed on the x axis and near particles A and B. In terms of distance d, at what x coordinate should C be placed so that the net gravitational force on particle A from particles B and C is zero? V A -d- B X
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- Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 6 g and particle B of mass 11 g, are shown in the figure with a separation of dAB = 0.555 m at angle = 30°. Particle C, with mass 7 g, is not shown. The net gravitational force acting on particle A due to particles B and C is 2.31 x 10- N at an angle of -163.8°. from the positive x axis. What are (a) the x coordinate and (b) the y coordinate of particle C? 14 B (a) Number: dAB 0 i (b) Number: i A Units: Units: < <a.) Find the net force on the Moon (mM=7.35×1022kg)(mM=7.35×1022kg) due to the gravitational attraction of both the Earth (mE=5.98×1024kg)(mE=5.98×1024kg) and the Sun (mS=1.99×1030kg)(mS=1.99×1030kg), assuming they are at right angles to each other (Figure 1). Express your answer to three significant figures and include the appropriate units. Fnet= __________ ____________ b.) Determine the direction of the net force. Express your answer to three significant figures and include the appropriate units. θ= ______________ ___________Rank the following situations from LEAST to GREATEST gravitational force. Provide an explanation. A B C M M m (2m) D 2M M (m) d 2d (2m)
- Please answer parts a-cPlease helpIn the figure below, three point particles are fixed in place in an xy plane. Particle A has mass mA, particle B has mass 2.35mA, and particle C has mass 3.45mA. A fourth particle D, with mass 4.40mA, is to be placed near the other three particles. In terms of distance d, at what coordinates should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero? (a) C 1.5d x coordinate d (b) y coordinate Bo A d x
- Chapter 04, Problem 029 2 Your answer is partially correct. 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 to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. ma = 322 kg, mp = 589 kg, and m. = 185 kg. Take the positive direction to be 0.500 m 0.250 m (a) Number 0.00005796 UnitsTN (b) NumberTo.00006568 Units (c) Number12.335 Units, are: Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of dAB = 0.519 m at angle O = 30°. Particle C, with mass 9 g, is not shown. The net gravitational force acting on particle A due to particles B and Cis 2.71 x 1014 N at an angle of -163.8°. from the positive x axis. What are (a) the x coordinate and (b) the y coordinate of particle C? В dAB AA binary star consist of two stars of the same mass m revolving in a circle of radius R about their common centre of mass. Suppose that a meteorite passes through the centre of mass of the binary star in a direction perpendicular to the orbital plane. What is the minimum speed that the meteorite must have at the centre of mass in order for it to escape from the gravitational attraction of the binary star? ANSW: 4Gm R w
- Two bodies A and B of masses m1 1 kg and m2 16 kg respectively are placed 1.0 m apart. A third body C of mass m= 3 kg is placed on the line joining A and B. At what distance from A should C be placed so that it experiences no gravitational force?In the figure below, a square of edge length s is formed by four spheres of masses, m1, m2, m3, and m4. What is the x component and the y component of the net gravitational force from them on a central sphere of mass m5. State your answers in terms of the given variables. ( Use any variable or symbol stated above along with the following as necessary: and G for the gravitational constant.)Two books are on a shelf 1.3 m from one another. Book A has a mass of 2.2 kg. Book B hasa mass of 1.7 kg. An absentminded student picks up book A to see if it is useful for his re-search paper. He decides not to use the book and sets it on a shelf 1.8 m from book B.What effect does this have on the gravitational force between the books?AThe gravitational force remains the same because the masses of the books remainconstant.BThe gravitational force decreases because the distance between the books increases.The gravitational force increases because the distance between the books increases.DThe gravitational force remains the same because distance does not affect gravity for small objects