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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 wooden crate of mass 25 kg is sitting on a horizontal cement floor. then one end of a horizontal pulley is attached
Find the capacitance of a parallel-plate capacitor consisting of circular plates 34cm in radius separated by 1.9mm
an object is placed 5 cm in front of a concave lens of focal length 7 cm. find the image location by drawing a ray
a 6-lb block is attached to a cable and to a spring vertically the cable above and the spring below. the spring
A single force acts on a 2.0 kgparticle-like object in such a way that the position of the objectas a function of time is given by x = 3.0t -4.0t 2 + 1.0t 3
A 34-cm-diametere potter's wheel with a mass of 20 kg is spinning at 180rpm. Using her hands, a potter forms a pot, centred on the wheel, with a 14 cm diameter. her hands apply a net friction force of 1.3 N to the edge of the pot.
Presume that the resistance between the walls of a biological cell is 4.5 × 109?. (a) What is the current when the potential dissimilarity between the walls is 68 mV? (b) If the current is composed of Na+ ions (q = +e), how many such ions flow in 0.7..
A straight wire segment 4 m long makes an angle of 30° with a uniform magnetic field of 0.37 T. Find the magnitude of the force on the wire
a spelunker is surveying a cave. she follows a passage 160m straight west then 290m in a direction 45 degree east of
A force with a magnitude of 125 N accelerates a satellite at a rate a = 1.4 m/s2. Approximately which is the mass of the satellite
An inexpensive microscope has a tube length of 12.0cm , and its objective lens is labeled with a magnification of 10x. Calculate the focal length of the objective lens
1. What is the major subject and theme of the article? 2.What major point does the article make? 3.What is the relevance of the article to the field of public budgeting?
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