The figure shows a spherical hollow inside a lead sphere of radius R = 5.0 m; the surface of the hollow passes through the center ofthe sphere and "touches" the right side of the sphere. The mass of the sphere before hollowing was M = 332 kg. With whatgravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 33 kg that lies at a distance d = 18 m fromthe center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?RNumberUnitsUse correct number of significant digits; the tolerance is +/-2%

Answered: Image /qna-images/answer/808460ca-6f66-4ae0-9f8a-9699bd6d5a61.jpg

Answered: The figure shows a spherical hollow…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 53P

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Two stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (Fig. P11.50). Show that each star has a period given by T2=42d3G(M+m) Proceed as follows: Apply Newtons second law to each star. Note that the center-of-mass condition requires that Mr2 = mr1, where r1 + r2 = d.
A bird flies overhead from where you stand at an altitude of 300.0 m and at a speed horizontal to the ground of 20.0 m/s. The bird has a mass of 2.0 kg. The radius vector to the bird makes an angle with respect to the ground. The radius vector to the bird and its momentum vector lie in the xy-plane. What is the bird’s angular momentum about the point where you are standing?
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.
A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?
The perihelion of Halley’s comet is 0.586 AU and the aphelion is 17.8 AU. Given that its speed at perihelion is 55 km/s, what is the speed at aphelion ( IAU=1.4961011m )? (Hint: You may use either conservation of energy or angular momentum, but the latter is much easier.)
A space probe is fired as a projectile from the Earths surface with an initial speed of 2.00 104 m/s. What will its speed be when it is very far from the Earth? Ignore atmospheric friction and the rotation of the Earth. P11.26 Ki+Ui=Kf+Uf12mvi2+GMEm(1rf1ri)=12mvf212vi2+GME(01RE)=12vf2orvf2=v122GMEREandvf=(v122GMERE)1/2,vf=[(2.00104)21.25108]1/2m/s=1.66104m/s
Answer without rounding off: (COLLAB Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z-position of 3.8 x 106 m through the center of a planet with a radius of 8.5 x 106 m. If the mass of the planet is 48.8 x 1015 kg, measure the displacement of the ball at time t = 7 s?
The figure shows a spherical hollow inside a lead sphere of radius R = 4.3 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 = 388 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 37 kg that lies at a distance d = 12 m from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?
Consider the system in the figure, in which a small mass m = 1.95 kg is sliding off the top of a cylindrical object. There is no friction between the mass and the cylinder, which has a radius of r = 0.46 m. At what height, relative to the bottom of the cylinder, will the mass leave the surface of the cylinder?
A star with mass M and radius R collides head-on with another star of mass ¾*M and radius 4/5*R, and they coalesce to form a new start at rest whose radius is 6/5*R. Assume that initially the colliding stars had angular velocities with opposite directions but the same magnitude w. What is the magnitude and direction of the final’s stars angular velocity? (Express the magnitude as a fraction of w.)
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A 1024-kg blue ball is dropped from an initial z-position of 4.1 x 106 m through the center of a planet with radius 6.2 x 106 m. If the mass of the planet is 36.7 x 1015 kg, measure the displacement of the ball at time t = 5 s?

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