Question

Three uniform spheres are placed in the *xy* plane as
follows: The center of mass of an 8.50-kg sphere is located at
(2.00, 2.00) m, the center of mass of a 5.00-kg sphere is located
at (0, 5.20) m, and the center of mass of a 2.00-kg sphere is
located at (3.10, 0) m. Where should a 6.00-kg sphere be placed if
the center of mass of the four-sphere system is to be located at
the origin?

x = |
m |

y = |
m |

Answer #1

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A uniform sphere with mass 60.0 kg is held with its center at
the origin, and a second uniform sphere with mass 90.0 kg is held
with its center at the point x = 0, y = 3.00 m. A
third uniform sphere with mass 0.600 kg placed at the point
x = 4.00 m, y = 0.
A) What is the magnitude of the net gravitational force due to
60.0 kg and 90.0 kg spheres on 0.600 kg sphere....

Three particles are placed in the xy plane. A m1 = 65 g particle
is located at (x1, y1), where x1 = 4.4 m and y1 = 1.7 m and a m2 =
58 g particle is located at (x2, y2), where x2 = −1.4 m and y2 =
−6.6 m .
A) What must be the x coordinate of the m3 = 42 g particle so
that the center of mass of the three-particle system is at the
origin?...

The masses and coordinates of three spheres are as follows: 16
kg, x = 2.25 m, y = 2.75 m; 46
kg, x = -2.00 m, y = -2.00 m; 60
kg, x = 0.00 m, y= -0.50 m. What is the
magnitude of the gravitational force on a 24 kg sphere
located at the origin due to the other spheres?

Three 5.0 kg spheres are distributed as follows. Sphere A is
located at the origin, sphere B is located at x = 0.30 m y = 0 m,
and sphere C is located at x = 0 m and y = 0.40 m. Find the net
gravitational force vector that sphere A experiences.

The masses and coordinates of three spheres are as follows: 16
kg, x = 0.75 m, y = 2.00 m; 46
kg, x = -1.75 m, y = -1.50 m; 70
kg, x = 0.00 m, y= -0.75 m. What is the
magnitude of the gravitational force on a 26 kg sphere
located at the origin due to the other spheres?

The masses and coordinates of three spheres are as follows: 12
kg, x = 1.50 m, y = 1.75 m; 48
kg, x = -2.50 m, y = -3.50 m; 68
kg, x = 0.00 m, y= -0.25 m. What is the
magnitude of the gravitational force on a 10 kg sphere
located at the origin due to the other spheres?

(hrw8c13p85) The masses and coordinates of three spheres are as
follows: 16 kg, x = 1.50 m, y = 1.50 m; 40 kg, x = -2.50 m, y =
-3.00 m; 56 kg, x = 0.00 m, y= -0.50 m. What is the magnitude of
the gravitational force on a 22 kg sphere located at the origin due
to the other spheres?

The masses and coordinates of three spheres are as follows: 22
kg, x = 1.25 m, y = 2.50 m; 44
kg, x = -2.25 m, y = -1.00 m; 56
kg, x = 0.00 m, y= -0.25 m. What is the
magnitude of the gravitational force on a 14 kg sphere
located at the origin due to the other spheres?
(in N)

Three particles are fixed in positions on the xy plane. Particle
A, with a mass of 6.00 g, is located at the origin. Particle B,
with a mass of 12.0 g, is located in the second quadrant a distance
0.500 m from the origin at an angle of 30◦ from the x axis.
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on particle A due to particles B and C is 2.77 × 10−14 N...

Three uniform spheres are located at the corners of an
equilateral triangle. Each side of the triangle has a length of
1.43 m. Two of the spheres have a mass of 3.49 kg each. The third
sphere (mass unknown) is released from rest. Considering only the
gravitational forces that the spheres exert on each other, what is
the magnitude of the initial acceleration of the third sphere?

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