A rack of seven spherical bolwing balls (each 6.80 kg, radius of 9.70 cm) is positioned along a line located a distance d = 0.860 m from a point P, as shown in the figure. Calculate the gravitational force F the bowling balls exert on a ping-pong ball of mass 2.70 g, centered at point P. F = N
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- A space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth's center, the gravitational force on it is 434 lb. What is the size of the force when it is at each of the following distances from Earth's center? (a) 20,000 miles lb(b) 30,000 miles lb(c) 100,000 miles lbThe masses and coordinates of three spheres are as follows: 24 kg, x = 2.1 m, y = 0 m; 54 kg, x = -2.1 m, y = 0 m; 220 kg, x = 0 m, y = 2.4 m. What is the magnitude of the gravitational force on a 84 kg sphere located at the origin due to the other spheres? Number i 0.0000014 Units NIn the figure, two spheres of mass m = 8.11 kg. and a third sphere of mass M form an equilateral triangle, and a fourth sphere of mass m4 is at the center of the triangle. The net gravitational force on that central sphere from the three other spheres is zero. (a) What is the value of mass M? (b) If we double the value of m4, what then is the magnitude of the net gravitational force on the central sphere? (a) Number (b) Number 778 M Units Units m
- Assuming that the Earth has a uniform density ?=5540.0 kg/m^3, what is the value of the gravitational acceleration ?? at a distance ?=5900.0 km from the Earth's center?Problem 2: An object with mass m1 = 42 kg is located at the origin. Another object with mass m2 = 86 kg is located at l2 = 0.105 m. Consider position la = 0.035 m between the two objects and along the axis connecting them. Refer to the diagram. The gravitational field of m1 is denoted by g1. Enter an expression for the gravitational field g1 at position la in terms of m1, la, and the gravitational constant G. The gravitational field of m2 is denoted by g2. Enter an expression for the gravitational field of m2 at la in terms of m2, m1, la, l2 and the gravitational constant G. Enter and expression for the total gravitational field at position la, g, in terms of the quantities defined in the problem.Three point particles, with masses 4.00 kg, 3.00 kg and 6.00 kg are located along a straight line at 2.00 m, 4.00 m and -6.00 m, respectively, in a uniform gravitational field. What is the location of center of gravity of this system? m.
- In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?Assuming that the Earth has a uniform density p = 5540.0 kg/m³, what is the value of the gravitational acceleration gå at a distance d = 4000.0 km from the Earth's center? 8d = m/s²Chapter 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
- Please answer the following question(s): 1. A 104 kg person and their 10 kg dog are 12.5 m away from each other. If you approximate them both as perfectly spherical what if the attractive gravitational force between them? Use G = 6.67x10-11N-m²/kg² Enter to 3 significant figures ✔N F grav =The figure shows a spherical hollow inside a lead sphere of radius R = 4.8 m; the surface of the hollow passes through the center of the sphere and “touches” the right side of the sphere. The mass of the sphere before hollowing was M = 255 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 10 kg that lies at a distance d = 13 m from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?Two spheres of mass M1 = 710 kg and M2 = 370 kg are placed 4.60 m apart. A particle of mass m = 16.0 kg is now placed midway between the two spheres. (a) What is the net gravitational force on the particle due to the two spheres? N toward the sphere of M1, M2? (b) At what position between the two spheres should the particle be placed so that the net gravitational force on the particle is zero? m from the sphere of mass M1