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A traveler in a rocket of proper length 2d sets up a coordinate system S' with its origin O' anchored at the exact middle of the rocket and the x' axis along the rocket's length. At time t' = 0 she ignites a flashbulb at O'. (a) Write down the coordinates (x'_F,t'_F )and (x'_B, t'_B ) for the arrival of the light at the front and back of the rocket. (b) Now consider the same experiment as observed from a frame S relative to which the rocket is traveling with speed V (with S and S' in the standard configuration). Use the inverse Lorentz transformation to find the coordinates (x_F,t_F )and (x_B,t_B ) for the arrival of the two signals. Explain clearly in words why the two arrivals are simultaneous in S' but not in S. This phenomenon is called the relativity of simultaneity.
A 2 cm cube of aluminum has a mass of 22 grams. Calculate the density of this aluminum square in grams per cubic centimeters (gm/cm 3 ).
question1two boats each capable of moving in still water at a constant velocity v 6 ms place out to cross a river of
The speed of an ion in a particle accelerator is doubled from 0.460c to 0.920c. The initial relativistic momentum of the ion is 5.10 x 10-17 kg·m/s. calculate the final relativistic momentum of the ion
A 8.0mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 180pF to 320pF. What is the minimum oscillation frequency for this circuit
A person driving her car at 53.0 km/h approaches an intersection while the traffic light turns yellow. She knows that the yellow light lasts only 2s before turning to red.
A racetrack has the shape of an inverted cone. On this surface the cars race in circles that are parallel to the ground, at what value of the distance d should a driver locate his car
Find the minimum initial speed of a projectile in order for it to reach a height of 2201 km above the surface of the earth
What should the charge (sign and magnitude) of a particle of mass 1.49g be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 N/C.
An 79 kg person is parachuting and experiencing a downward acceleration of 2.0 m/s2 shortly after opening the parachute. What upward force is exerted on the open parachute by the air
A charged particle moves through a velocity selector at a constant speed in a straight line, Calculate the charge-to-mass ratio of the particle.
A trolley that moves along a horizontal beam is acted upon by two forces as shown. What is the corresponding magnitude of the resultant
The space shuttle orbits at a distance of about 300 km above the surface of the earth. Find the speed of the shuttle
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