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Chapter 11: Q4Q (page 292)
For an answer to be complete, the units need to be specified. Why?
It is important to specify the units to complete an answer to improve accuracy and give clearer meaning.
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(I) A pendulum has a period of 1.85 s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?
An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.60 Hz (typical of earthquakes, which actually include a mixture of frequencies), what amplitude is needed so that objects begin to leave contact with the ground? (Hint: Set the acceleration a > g.)
Agent Arlene devised the following method of measuring the muzzle velocity of a rifle (Fig. 11–52). She fires a bullet into a 4.148-kg wooden block resting on a smooth surface, and attached to a spring of spring constant k= 162.7 N/m. The bullet, whose mass is 7.870 g, remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be 9.460 cm. What is the speed v of the bullet?
A guitar string is 92 cm long and has a mass of 3.4 g. The distance from the bridge to the support post is \({\bf{l}} = {\bf{62}}{\rm{ }}{\bf{cm}}\), and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones?
The speed of waves on a string is \({\bf{97}}{\rm{ }}{\bf{m}}{\rm{/}}{\bf{s}}\).If the frequency of standing waves is 475 Hz, how far apart are two adjacent nodes?
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