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A light bulb at point x in the frame of reference O blinks on and off at intervals, ?t = t2 - t1. Observer O' moving relative to O at speed u measures the interval to be ?t' = t2' - t1'. Use the expressions for the Lorentz transformations to derive the expression for the time dilation relations ?t and ?t'?
Draw a free body diagram for each situation and find the magnitude of the larger of the two individual forces in units of N. Find out the magnitude of the smaller of the individual forces in units of N.
A 20t space craft leaving the dock of a space stationmakes a 12s engine burn. find the final speed of the space craft with respect to the station
The coefficient of static friction between the wall and the rod is μs = 0.575. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A.
If a 62.6 kg runner dissipates a power of 60.9 W during a race, explain how fast is the person running? Assume a running step is 1.50m in length
A single-turn circular loop of radius 8.00 cm is to produce a field at its center that will just cancel the earth's field of magnitude 0.7G directed at 70 below the horizontal north direction. Find out the current in the loop.
A flute player hears four beats per second when she compares her note to the 523 tuning fork (the note C). She can match the frequency of the tuning fork by pulling out tuning joint to lengthen her flute slightly. What are the three possible value..
A parachutist with a camera, both descending at a speed of 11 m/s, releases that camera at an altitude of 140 m. Explain how long does it take the camera to reach the ground?
A uniform density cube of mass m, side 2b, and center at C is placed on a fixed horizontal cylinder of radius r and center O in Earth's gravitational field.
Calculation of the ground state of one-dimensional harmonic oscillator using variational Monte Carlo method and How do you know the minimization is good enough?
At a temperature of 5800, hydrogen atoms in the solar atmosphere have typical random speeds of about 12. Assume that spectral-line broadening is simply the result of atoms moving toward us or away from us at this random speed, estimates thermal width..
A charge of -3.2 µC is fixed at the center of a compass. Two additional charges are fixed on the circle of the compass, which has a radius of 0.099 m. The charges on the circle are -3.95 µC at the position due north and +5.45 µC at the position du..
A proton is released from rest in a uniform electric field of magnitude 421 N/C. (a) Find the electric force on the proton. magnitude N direction (b) Find the acceleration of the proton. magnitude m/s2 direction (c) Find the distance it travels in..
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