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Q. A 75 kg man sits on a massless cart that is on a horizontal surface. The cart is initially stationary and it can move without friction or air resistance. The man throws a 5.0 kg stone in the positive direction, applying a force to it so that it has acceleration +3.5 m/s2 as measured by a nearby observer on the ground. What is the man's acceleration during the throw, as seen by the same observer? Be careful to use right signs.
Q. A stationary radar operator determines that a ship is 11.00 km south of him. An hour later the same ship is 24.0 km southeast. If the ship moved at constant speed and always in the same direction, what was its velocity for the duration of this time? (Hint: Take the origin to be the location of the radar)
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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