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Tomtit [17]
2 years ago
7

You have just moved into a new apartment and are trying to arrange your bedroom. You would like to move your dresser of weight 3

,500 N across the carpet to a spot 5 m away on the opposite wall. Hoping to just slide your dresser easily across the floor, you do not empty your clothes out of the drawers before trying to move it. You push with all your might but cannot move the dresser before becoming completely exhausted. How much work do you do on the dresser?
Physics
1 answer:
LenaWriter [7]2 years ago
6 0

Answer:

0 Joules

Explanation:

The work done is given by

W=F\times s\times cos\theta

where,

F = Force applied

s = Displacement of the object = 0 m

\theta = Angle between the force applied and the horizontal = 0

W=F\times 0\times cos0\\\Rightarrow W=0\ J

Work is only observed when there is a displacement.

The work done by me is 0 Joules as I was unable to move it.

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Solution:
The fundamental frequency in a standing wave is given by
f= \frac{1}{2L} \sqrt{ \frac{T}{m/L} }
where L is the length of the string, T the tension and m its mass. If  we plug the data of the problem into the equation, we find
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The wavelength of the standing wave is instead twice the length of the string:
\lambda=2 L= 2 \cdot 24 m=48 m

So the speed of the wave is
v=\lambda f = (48 m)(1.44 Hz)=69.1 m/s

And the time the pulse takes to reach the shop is the distance covered divided by the speed:
t= \frac{L}{v}= \frac{24 m}{69.1 m/s}=0.35 s
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