A mass m hangs on a string that is connected to the ceiling. You pluck the string just above the mass, and a wave pulse travels up to the ceiling, reflects off the ceiling, and travels back to the mass. Calculate the fraction that the round-trip time will be decreased, if the mass m is increased by a factor of 3.95. (Assume that the string does not stretch in either case and the contribution of the mass of the string to the tension is negligible.)

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A mass m hangs on a string that is connected to the
ceiling. You pluck the string just above the mass, and a
wave pulse travels up to the ceiling, reflects off the
ceiling, and travels back to the mass. Calculate the
fraction that the round-trip time will be decreased, if the
mass m is increased by a factor of 3.95. (Assume that the
string does not stretch in either case and the contribution
of the mass of the string to the tension is negligible.)
Transcribed Image Text:A mass m hangs on a string that is connected to the ceiling. You pluck the string just above the mass, and a wave pulse travels up to the ceiling, reflects off the ceiling, and travels back to the mass. Calculate the fraction that the round-trip time will be decreased, if the mass m is increased by a factor of 3.95. (Assume that the string does not stretch in either case and the contribution of the mass of the string to the tension is negligible.)
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