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1. Consider a flat universe with only matter.
(a) Prove that ε=εe,0a-3, where εe,0 is the critical density today.
(b) Prove that a(t) = (t/t0)^2/3.
(c) Find the current proper distance, comoving distance, luminosity distance, an angular diameter distance to a galaxy at redshift z.
(d) Find the horizon distance.
(e) Find the age of the Universe in terms of H0.
(f) Find the maximum angular diameter distance of the Universe.
A passenger walks from one side of a ferry to the other as itapproaches a dock. what are the direction and magnitudeof the ferry's velocity relative to the water
In an action movie, the villain is rescued from the ocean by grabbing onto the ladder hanging from a helicopter. what was the speed at which the helicopter was ascending
The inductance of a solenoid with 460 turns and a length of 23cm is 7.5mH. What is the cross-sectional area of the solenoid
A 5.1- kg concrete block rests on a level table. A 3.1- kg mass is attached to the block by a string passing over a light, frictionless pulley. If the acceleration of the block is gauged to be 1.1 m/s2, what is the coefficient of friction among the b..
two charges are placed on the x axis a 6.00 microc charge at x 80.0 cm and a -3.00 microc charge at x 0. find e
A pair of parallel plates is charged by a 12-V battery. If the electric field between the plates is 1200N/C, How far apart are the plates
A 48 kg pole vaulter running at 11 m/s vaults over the bar. Her speed when she is above the bar is 1.0 m/s. determine her altitude as she crosses the bar
An unstrained horizontal spring has a length of 0.34 m and a spring constant of 290 N/m. Two small charged objects are attached to this spring, one at each end. The charges on the objects have equal magnitudes.
The side mirror on a car is convex and has a radius of curvature of 25 cm. Another car is following, 20 m behind the mirror. If the height of the car is 1.6 m, how tall is the image
A rollercoaster with passengers has a mass of 2500 kg. This rollercoaster is powered to the top of a 25 m hill where it pauses for a moment at rest. What is the speed of the rollercoaster at the top of the vertical loop
A concave spherical mirror has a radius of curvature of 7.00cm. Calculate the size of the image
which type of galaxy mostly consists of a collection of older red stars that are located in the center with blue and
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