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An unfortunate ant (m = 1 mg) is on top of a tennis ball when the ball is suddenly served. Assume that, as the ball
An unfortunate ant (m = 1 mg) is on top of a tennis ball when the ball is suddenly served. Assume that, as the ball flies over the net, it has an instantaneous velocity of v = 90 kmph in the + direction and is slowing down (due to air resistance) at a rate of 5 ms-2. The ball also has topspin, spinning about the + axis at 3000 rpm. The spin is decreasing (again because of air resistance) at a rate of 600 rpm per second. The panicked ant, which is on top of the ball at the moment it crosses the net, is running in the direction with an instantaneous velocity of 10 cm s-1 relative to the ball. Take the radius of the tennis ball to be 3.3 cm. Calculate the magnitude in Newtons (to one significant figure) and Cartesian direction of each of the forces felt by the poor ant (no need to add up all the forces vectorially). You can ignore the effect of air resistance on the ant itself as well as exotic phenomena like the Magnus effect which causes a spinning ball to dip
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