1.A carpenter uses a hammer to strike a nail. Approximate the hammer's weight of 1.8lbs, as being concentrated at the head, and assume that at impact the head is traveling in the -j direction. If the hammer contacts the nail at 50mph and the impact occurs over 0.023 seconds, what is the magnitude of the average force exerted by the nail of the hammer?
2.A closed tank of liquid (S=1.2) is rotated about a vertical axis (see figure), and at the same time the entire tank is accelerated upward at 4 m/s^2. If the rate of rotation is 10 rad/s, what is the difference in pressure between points A and B (pB-pA)? Point B is at the bottom of the tank at a radius of .5 m from the axis of rotation, and point A is at the top on the axis of rotation.
3.A 5-micron droplet of water is being carried in standard air toward a 500-micron drop of water at a relative velocity of 40m/s. Will the two drops collide?
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