Question

In: Physics

A spherical object with a radius rrr = 4.2×10−7 mm  and mass m is in...

A spherical object with a radius rrr = 4.2×10−7 mm  and mass m is in equilibrium at a distance ddd = 9.1×1012 mm  from a star due to the cancellation of gravitational and radiation forces. Let MsMsM = 2.1×1032 kgkg be the mass of the star, and PsPsP = 5.9×1028 WW be the total average power radiated by it uniformly in all directions. You will also need the gravitational constant GGG = 6.7×10−11 Nm2/kg2Nm2/kg2  and the speed of light ccc = 3×108 m/sm/s  in the following questions.

a)What is the intensity of the star's electromagnetic radiation at the position of the object? Express your answer in units of W/m22.

b) What is the average radiation force FradFradF on the object if all the incoming light is absorbed by it? Express your answer in units of Newtons. Pay attention to the fact that the radiation pressure acts effectively on the cross-sectional area of the object facing the star.

c)What is the magnitude of the gravitational acceleration agaga of the object due to the star? (Recall Phys.101) Express your answer in units of m/s22.

d)Find the mass density (mass/volume) of the object if it is in equilibrium under radiation and gravitational forces. Express your answer in units of g/cm33.

e)Another spherical object with the same density is located at a distance 2d2d from the star. If it is also in a similar equilibrium, what is its mass in terms of mm?

Solutions

Expert Solution

genius_generous answered 1 year ago
Next > < Previous

Related Solutions

A spherical object with a radius r = 3.2×10−6 m and mass m is in equilibrium...
A spherical object with a radius r = 3.2×10−6 m and mass m is in equilibrium at a distance d = 6.0×1012 m from a star due to the cancellation of gravitational and radiation forces. Let Ms = 4.7×1032 kg be the mass of the star, and Ps = 9.9×1029 W be the total average power radiated by it uniformly in all directions. You will also need the gravitational constant G = 6.7×10−11 Nm2/kg2 and the speed of light c...
Show that the moment of inertia of a spherical shell of radius R and mass M...
Show that the moment of inertia of a spherical shell of radius R and mass M about an axis through its centre is 2/3 MR2. Show also that the moment of inertia of a uniform solid sphere of radius R and mass M is 2/5MR2. The spheres are allowed to roll (from rest), without slipping a distance L down a plane inclined at a angle θ to the horizontal. Find expressions for the speeds of the spheres at the bottom...
A spherical satellite of radius 4.8 m and mass M = 210 kg is originally moving...
A spherical satellite of radius 4.8 m and mass M = 210 kg is originally moving with velocity satellite,i = < 2800, 0, 0 > m/s, and is originally rotating with an angular speed ω1 = 2 radians/second, in the direction shown in the diagram. A small piece of space junk of mass m = 3.9 kg is initially moving toward the satellite with velocity junk,i = < -2600, 0, 0 > m/s. The space junk hits the edge of...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.11 m...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.11 m is thrown down the lane with an initial speed of v = 8.9 m/s. The coefficient of kinetic friction between the sliding ball and the ground is ? = 0.28. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
a) Consider an object of mass m=0.527kg rotates on circular path of radius r=1.82 m. Object...
a) Consider an object of mass m=0.527kg rotates on circular path of radius r=1.82 m. Object starts at rest and slowly increase its angular velocity at constant angular acceleration of 0.128 rad/s2. I. Find the angular velocity of the object after 35 seconds? II. Find the magnitude and direction of resultant linear acceleration after 35 seconds? III. Find the net force acting on the object after 35 seconds? b) Consider the same above object of mass m=0.527kg rotates around its...
a uniform spherical shell of mass M and radius R rotates about a vertical axis on...
a uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h from rest?...
A uniform spherical shell of mass M = 2.0 kg and radius R = 13.0 cm...
A uniform spherical shell of mass M = 2.0 kg and radius R = 13.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 1.92×10-3 kg m2 and radius r = 4.0 cm, and its attached to a small object of mass m = 4.0 kg. There is no friction on the pulley's axle; the cord does not slip...
An object of mass m is in a circular orbit another heavier object of mass M....
An object of mass m is in a circular orbit another heavier object of mass M. The radius of the orbit is R. (a) Derive the speed of the orbiting object. (b) Use this speed to derive the period of the circular orbit. (c) Use your answer and the provided value to determine the period of Earth’s orbit around the Sun based on our simplified circular motion model. Compare this to the actual value which you can look up. Use...
1. First, an object 1 with mass m and an object 2 with mass 2 m...
1. First, an object 1 with mass m and an object 2 with mass 2 m are moving on a straight line at velocities v1i = 1.00 m / s and v2i = -2.00 m / s. Two objects collided inelastically, and the velocities of object 1 and object 2 changed to v1f and vf2, respectively. The velocity is positive in the right direction, and no external force is acting on these two objects. Find v1f and vf2 for cases...
a) In front of spherical concave mirror of radius 26cm, you position an object of height...
a) In front of spherical concave mirror of radius 26cm, you position an object of height 2.6cm somewhere along the principal axis. The result image has a height of 0.8cm. How far from the mirror is the object located? b) In front of a spherical convex mirror of radius 26cm, you position an object of height 2.6cm somewhere already no the principal axis. The resultant image has a height of 0.8cm. How far from the mirror is the object located?...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT