13.5 Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Fig. E13.5). Find the magnitude and direc- tion of the initial acceleration of a uniform sphere with mass 0.010 kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B. Figure E13.5 0.010 kg P 10.0 cm 10.0 cm 0.260 kg 0.260 kg 6.0 cm 8.0 cm | 8.0 cm A B C Find the angle APC; and angle BPC Calculate the forces on P due to A and B Resolve the forces in two mutually perpendicular direction Find net forces in each direction then use net force = mp a For both directions a along PC = 2.1x10-9 m/s² Other component is zero

Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 30 mm. Assume a = 5.0, b = 2.9, θ=30°. Calculate the mass of each sphere.

Chapter 13, Problem 025 A solid sphere of uniform density has a mass of 8.7 x 10ª kg and a radius of 1.2 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 6.5 kg located at a distance of (a) 4.2 m and (b) 0.34 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r s 1.2 m from the center of the sphere. (a) Number Units (b) Number Units (c) Fon m = k•r, where k = Click if you would like to Show Work for this question: Onen Show Work

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.

ASAP, I need help now. Please use 3 decimal places and be careful on the given. I will give thumbs up. Thank you!

What is the ratio of the sun's gravitational pull on Mercury to the sunfs gravitational pul on the earth? The radius of the orbit of Mercury is RM 5.79 x 10 m and its mass is my - 1.50 × 10 m and its mass is mp = 5,97 x 10 kg 5.97 x 1024 kg =D3.30x10 kg. The radius of the orbit of Earth is Rp 阳 AX中 FM FE

A solid uniform sphere has a mass of 4.00 x 10* kg and a radius of 1.5 m. (Use the following as necessary: r and m. Assume SI units. Do not enter units in your ansWers.) (a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m located at a distance of 1.6 m from the center of the sphere? F = N. (b) What if it is 1.4 m from the center of the sphere? F = N. (c) Write a general expression for the magnitude of the gravitational force on the particle at a distancer 1.5 m from the center of the sphere. F = Additional Materials eBook Powers of Ten

Chapter 13, Problem 025 Your answer is partially correct. Try again. A solid sphere of uniform density has a mass of 2.9 x 104 kq and a radius of 2.5 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 8.1 kg located at a distance of (a) 4.8 m and (b) 1.1 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance rs 2.5 m from the center of the sphere. (a) Number Units (b) Number Units (c) Fon mk r, where k 0.000006300 N/m

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1) The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. a) Compute the acceleration due to gravity on the surface of Venus from these data. b) If a rock weighs 75.0 N on earth, what would it weigh at the surface of Venus? Astronomical Datat Вody Mass (kg) Radius (m) Orbit radius (m) Orbital period 1.99 x 10 7.35 x 1022 3.30 X 10 4.87 x 104 5.97 x 1024 6.42 x 1023 1.90 X 107 5.68 X 106 8.68 X 103 1.02 x 10% 1.31 X 102 6.96 x 10 1.74 X 10 244 X 10 6.05 x 10 6.37 X 10 3.39 X 106 6.99 X 107 5.82 x 10 2.54 X 10 2.46 X 10 1.15 X 10 Sun 3.84 X 10 5.79 x 1010 1.08 x 101 1.50 x 10" 2.28 X 101 7.78 X 10" 143 X 1012 2.87 X 1012 4.50 X 1012 5.91 x 1012 Моon 27.3 d 88.0 d 224.7 d 365.3 d 687.0 d 11.86 y 29.45 y 84.02 y 164.8 y 247.9 y "Source: NASA (http://solarsystem.nasa.govplanets/). For each body, "radius" is its average radius and "orbit radius" is Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Plutot its average distance from the sun or (for the…