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Gnoma [55]
3 years ago
5

A 3.00 kg cart on a frictionless track is pulled by a string so that it accelerates at 2.00 m/s/s. what is the tension in the st

ring'
PLEASE SHOW YOUR WORK
Physics
1 answer:
lys-0071 [83]3 years ago
3 0
The mass is m =  3kg

The acceleration is a =  2m/s/s

Force is equal to mass times acceleration

F = m*a = 3kg*2m/s/s = 6 N

This force is equal to the tension in the string

T = 6 N
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Explanation:

First of all, we can calculate the speed of the wave in the string. This is given by the wave equation:

v=f \lambda

where

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\lambda is the wavelength

For the waves in this string we have:

f=625 Hz, since it completes 625 cycles per second

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So the speed of the wave is

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The speed of the waves in a string is related to the tension in the string by

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In this problem:

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Solving the equation (1) for T, we find the tension:

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8 0
3 years ago
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