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Q1. A professor's office door is 0.80 wide, 3.0 high, and 5.0 thick; has the mass of 25; and pivots on frictionless hinges. A "door closer" is attached to the door and the top of door frame. When the door is open and at rest, door closer exerts a torque of 5.0. What is the least force that you require to apply to the door to hold it open?
Q2. A (n) 85.2 kg person throws a (n) 0.075 kg snowball forward with a ground speed of 37.7 m/s. A second person, of mass 57.9 kg, catches the snowball. Both people are on skates. The first person is initially moving forward with a speed of 1.26 m/s, and the second person is initially at rest. What is the velocity of the first person instantly after the snowball is thrown? Disregard friction between skates and ice.
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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