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Question1
A 60.0-kg projectile is fired at the angle of 30.0° above the horizontal with an initial speed of 1.28 102 m/s from the top of a cliff 120 m above level ground, where ground is taken to be y = 0.
a) What is an initial total mechanical energy of the projectile?
b) Assume the projectile is traveling 90.7 m/s at its maximum height of y = 291 m. How much work has been done on projectile by air friction?
c) What is speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on the projectile as it is going down as it did when it was going up?
Question2
When determining the volume of the irregularly shaped object, any air bubbles sticking to the surface of the object when it is submerged will cause systematic errors. Would this error give an experimental density that is too high or too low? Elucidate.
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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