A solid copper sphere of mass M and radius R has a cavity of radius ½ R. Inside the cavity a particle of mass m placed a distance d > R from the center of the sphere along the line connecting the centers of the sphere and the cavity. Find the gravitational force on m.
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A solid copper sphere of mass M and radius R
has a cavity of radius ½...
A solid sphere of uniform density has a mass of 9.0 × 104 kg and a...
A solid sphere of uniform density has a mass of 9.0 × 104 kg and a radius of 4.6 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 4.9 kg located at a distance of (a) 16 m and (b) 2.6 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 ≤ 4.6 m from...
The figure shows a spherical hollow inside a lead sphere of radius R = 4.7 m;...
The figure shows a spherical hollow inside a lead sphere of radius R = 4.7 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 = 268 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 40 kg that lies at a distance d = 11 m from the center of...
A solid sphere of uniform density has a mass of 3.2 x 104 kg and a...
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A solid sphere of uniform density has a mass of 1.8 x 104 kg and a...
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A uniform, solid, 1000.0 kg sphere has a radius of 5.00 m. Find the gravitational force...
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A uniform, solid, 1700.0 kg sphere has a radius of 5.00 m . Find the gravitational...
A uniform, solid, 1700.0 kg sphere has a radius of 5.00 m . Find the gravitational force this sphere exerts on a 1.60 kg point mass placed at the following distances from the center of the sphere: (a) 5.02 m , and (b) 2.55 m .
A uniform, solid, 2000.0 kg sphere has a radius of 5.00 m. Find the gravitational force...
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(11 points) A uniform solid sphere of mass m and radius r is placed inside a...
(11 points) A uniform solid sphere of mass m and radius r is placed inside a hemispherical bowl of radius R. The sphere is released from rest at an angle theta and rolls without slipping. (a) (6 points) Using Conservation of Energy, to find an expression for the angular speed of the sphere when it reaches the lowest point of the bowl. (b) (6 points) Find the magnitude of the centripetal acceleration of the center of mass of the sphere...
A solid lead sphere of radius 10 m (about 66 feet across!) has a mass of...
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Problem 4. A solid sphere of mass m and radius r rolls without slipping along the...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
The figure shows a spherical hollow inside a lead sphere of radius R = 4.7 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 = 268 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 40 kg that lies at a distance d = 11 m from the center of...
A solid sphere of uniform density has a mass of 3.2 x 104 kg and a radius of 1.3 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 7.1 kg located at a distance of (a) 5.4 m and (b) 0.38 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 1.3 m from...
A solid sphere of uniform density has a mass of 1.8 x 104 kg and a radius of 0.81 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 6.3 kg located at a distance of (a) 2.0 m and (b) 0.40 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 0.81 m from the...
(11 points) A uniform solid sphere of mass m and radius r is placed inside a hemispherical bowl of radius R. The sphere is released from rest at an angle theta and rolls without slipping. (a) (6 points) Using Conservation of Energy, to find an expression for the angular speed of the sphere when it reaches the lowest point of the bowl. (b) (6 points) Find the magnitude of the centripetal acceleration of the center of mass of the sphere...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
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