# A string is 50.0 cm long and has a mass of 3.00 g. A wave travels at 5.00 m/s along this string. A second string has the same length, but half the mass of the first. If the two strings are under the same tension, what is the speed of a wave along the second string?

Question
Asked Dec 28, 2019
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A string is 50.0 cm long and has a mass of 3.00 g. A wave travels at 5.00 m/s along this string. A second string has the same length, but half the mass of the first. If the two strings are under the same tension, what is the speed of a wave along the second string?

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## Expert Answer

Step 1

Given

For the first string

Length l1 = 50.0 cm = 0.500 m

Mass m1 = 3 g = 0.003 kg

Speed v1 = 5 m/s

For the second spring

Length l2 = l1 = 0.500 m

Mass m2 = m1/2 = 0.0015 kg

Step 2

Solution

Since the two strings are under the same tension, the speed of the wave is inversely proportional to the liner density of the waves. Linear density is defined as the mass per unit length.

Step 3

Calculating Tension

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