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Question: Assume that all the mass of a galaxy is in a massive uniform density ball of stars (called bulge by astronomers), with a radius of 1 kpc. The total mass of this bulge is 3 × 1010 M. The volume of a sphere with radius R is: 4/3πR3. Calculate the rotation speed at the center, at 0.5 kpc at 1 kpc, at 2 kpc, 4 kpc, and 8 kpc from the center of this galaxy. Express the velocities in km/s and make a drawing of the rotation curve.
How strong is the electric field between the plates of a 0.70 microF air-gap capacitor if they are 3.0mm apart and each has a charge of 77 microcoloumbs
the acceleration of a particle is directly proportional to the square time t. when t 0 the particle is at x 24m.
A slide projector needs to create a 98.0cm -high image of a 2.20cm cm -tall slide. The screen is 304cm cm from the slide. What focal length does the lens need
A short time later, all of the charge has left the capacitor and the current flowing through the inductor has reached its maximum value. What is this current
A solid uniform disk is mounted with frictionless bearings ont a stationary horizontal axle that passes through the center of the disk. What is the magnitude of the angular acceleration of the disk
A trunk of mass m = 1.100 kg is pushed a distance d = 32.0 cm up an incline with an angle of inclination theta = 26.0 ° by a constant horizontal force P = 150. N. find the work done on the trunk by the gravitational force
A 2.00 kg mass is connected to a spring with a spring constant of 900 N/m. The displacement is given by the expression x(t) = 12.0 cm sin(? t). What is the frequency of the simple harmonic motion?
A 4kg mass rests on a tabletop and is attached to a spring with the spring constant 100N/m. find the equation of motion for the oscillator
A ball of mass 0.120 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.600 m. What impulse was given to the ball by the floor
An airplane has a velocity relative to the air of 190 m/s in a westerly direction. If the wind has a speed relative to the ground of 59 m/s directed to the north. What is the speed of the plane relative to the ground
wile e. coyote carnivorus hungribilus is chasing the roadrunner speedibus cantcatchmi yet again. while running down the
A 31.0 kg child runs with a speed of 3.00 m/s tangential to the rim of a stationary merry-go-round. Calculate the initial kinetic energy of the system
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