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Q1. A hawk is flying horizontally at 17.0m/s in a straight line, 230 m above the ground. A mouse it has been carrying struggles free from its grasp. The hawk continues on its path at the same speed for 2.00 seconds before attempting to retrieve its prey. To accomplish the retrieval, it dives in a straight line at constant speed and recaptures the mouse 3.00 m above the ground. (a) Assume no air resistance; find the diving speed of the hawk. (b) What angle did the hawk make with the horizontal during its descent? (c) For how long did the mouse enjoy the free fall?
Q2. A train is travelling up a 5.0 degree incline at a speed of 2.25m/s when the last car breaks free and begins to coast without friction. a) How long does it take for last car to come to rest momentarily? b) How far did the last car travel before momentarily coming to rest?
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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