You have been asked to design a "ballistic spring system" to measure the speed of bullets. a spring whose spring constant k is is suspended from the ceiling. a block of mass m hangs from the spring. a bullet of mass m is fired vertically upward into the bottom of the block. the spring's maximum compression d is measured. find an expression for the bullet's speed, express your answer in terms of the variables m, m, k, d, and constant g.

Unpolarized light falls on two polarizer sheets whose transmission axes are at right angles. a third polarizer is placed between the first two so that its axis makes a 52-degree angle with the axis of the first polarizer. a) what fraction of the incident light intensity is transmitted through the first polaroid? b) what fraction of the incident light intensity is transmitted through the second polaroid? c) what is the angle of polarization of the light that enters the third polaroid? d) what fraction of the incident light intensity is transmitted through the third polaroid. e) what happens if the middle polaroid is removed?

Agroup of students were investigating the force of gravity. they began by dropping a foam ball from a height of 3 meters into a bucket of sand. the ball hit the sand in 0.306 seconds. they dropped additional balls of approximately the same diameter, but of different masses. here is the data they collected. based on this experiment and the collected data, what would their conclusion be?

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