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For most standard cosmologies other than deSitter the scale factor varies as t^n, with n < 1. (a) Show that for such cosmologies the ratio of the particle horizon distance to the scale factor always increases with time. (b) Calculate the present distance to the horizon if the Universe is flat and we assume (incorrectly) that it contains only matter.
Two air-track gliders m1 and m2 are joined together with a light string. What is the tension in the cord joining gliders
An electric motor can accelerate a Ferris wheel of moment of inertia I = 19500 kg·m2 from rest to 9.4 rev/min in 12.0 s, Determine the torque generated by the motor to bring the wheel to 9.4 rev/min
A model rocket is fired vertically from rest. It has a net acceleration of 17.0 m/s2. How long after liftoff does the rocket return to the ground
a ball is tossed directly upward at an initial speed of 5.7m/s and is caught when it falls back down to the throwers hand, how much total time is the ball airborne
Light from a sodium lamp (lamda=589 nm) illuminates two narrow slits. The fringe spacing on a screen 150 cm behind the slits is 4.0 mm. What is the spacing (in mm) between the two slits
The circumference of the moon's orbit around the earth is 2.415275282*106km. Calculate the average orbital speed in m/s of the moon
A uniform beam of length 12 m is supported by a horizontal cable of mass 5 kg at the top and a hinge at the bottom making a 45-45-90 triangle. determine the weight of the beam
Find the change in internal energy using first law of thermodynamics.
Light from a laser strikes a diffraction grating that has 4250 grooves per centimeter. Find the wavelength of the laser
A 5.56 10-5 H solenoid is constructed by wrapping 62 turns of wire around a cylinder with a cross-sectional area of 8.30 10-4 m2 , Determine the change in the length of the solenoid.
A tourist takes a picture of a mountain 14 km away using a camera that has a lens with a focal length of 50 mm, What is the ratio of the height of the mountain's image on the camera's image
A satellite in Earth orbit has a mass of 102 kg and is at an altitude of 2.10 106 m. (Assume that U = 0 as r ? ?.), What is the potential energy of the satellite-Earth system
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