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Question1
An airplane is flying horizontally with speed 1000 (280) while an engine falls off. Neglecting air resistance, suppose it takes 27 for the engine to hit the ground.
a. Find out altitude of the airplane. (Use g=9.8m/s^2.)
b. Find out horizontal distance the airplane engine falls.
c. If the airplane somehow continues to fly as if nothing had happened, where is an engine relative to the airplane at the moment the engine hits the ground?
Question2
A car travels due east with a speed of 36.0 km/h. Raindrops are falling at a constant speed vertically with respect to Earth. The traces of the rain on side windows of the car make an angle of 46.0° with the vertical. Find out the velocity of the rain with respect to following reference frames. (Enter magnitude of the velocity.)
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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