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Q1. A spaceship travels with a constant speed of 0.3c as it passes by the earth on its way to a distant star.
a. the pilot of the spaceship measures the length of the moving ship as 30 meters. Establish its length as measured by a person on earth
b. the pilot of the spaceship observes that the spaceship travels for 9 years. Conclude how much time has passed according to a person on earth.
c. sometime after passing the earth, the pilot shoots a laser pulse backward at a speed of 3x10^8 meters per second with respect to the spaceship. Find out the speed of the laser pulse as measured by a person on earth
Q2. An air-track glider attached to a spring oscillates between the 12.0 cm mark and the 71.0 cm mark on the track. The glider completes 7 oscillations in 39.0s. What are (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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