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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.
a certain defibrillator sends 0.12 c of charge through the heart. the capacitor responsible for holding this charge
A lead cube is 15 cm per side. The cube is released from rest in a 25-m deep pool of water. Find the gauge pressure on the cube at this depth
You are the technical consultant for an action-adventure film in which a stunt calls for the hero to drop off a 24.9 meter tall building, Determine the angular acceleration of the drum
An apple drops from the tree and falls freely. The apple is originally at rest a height {H0} above the top of the grass of a thick lawn, which is made of blades of grass of height {h}. When apple enters the grass, it slows down at a constant rate ..
Three resistors with values of 2.7 , 3.8 , and 6.4 , respectively are connected in parallel in a circuit with a 24 V battery. How much current is delivered to the circuit by the battery
A parallel- plate,air-gap capacitor has a capacitance of 28 pF. The platesare separated by 1.2mm. (1 pF = 1 x 10-12F, 1 mm = 1 x10-3m) What is the area of each plate? What is the charge on each plate if the potential difference is 75V?
A child sit down in a seat on a Ferris wheel. Suppose the wheel has a radius of 70m, By this time, what angle has the child rotated through
A positive test charge of8.94× 10-5C is placed in an electric field of54.84N/Cinten- sity. What is the strength of the force exerted on the test charge
A proton is released from rest inside a region of constant, uniform electric field E1 pointing due North. 27.3 seconds after it is released, What is the ratio of the magnitude of E2 to the magnitude of E1
Two trains approach each other on parallel tracks. Each has a speed of 80.0 km/hr with respect to the earth. If they are initially 14.0 km apart, how long (in seconds) will it be before they pass each other?
A 25.00 kg block starts from rest at the top of a 24.0 m long 30.0° incline. Its kinetic energy at the bottom of the incline is 2940 J. How much work is done by friction
A person has a piece of (mass less) string of length 0.6 m with a ball of mass 0.05 kg at the end of it. The person starts to swing this device in a vertical circle with a center located 2 m above the ground. The tension in the string is kept constan..
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