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3 years ago

A wave with a frequency of 500 Hz is traveling at a speed of 200 m/s. What is the wavelength ?

Physics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

The wavelength of the wave is 0.40 m.

Frequency f of a wave is defined as the number of waves traveling through a point in one second. Wavelength λ is the distance traveled by the wave in one complete time period. The speed of the wave v is related to frequency and wavelength by the expression,

$v=f \lambda$

Therefore,

$\lambda =\frac{v}{f}$

Substitute 200 m/s for v and 500 Hz for f.

$\lambda =\frac{v}{f}\\ =\frac{200 m/s}{500 Hz} \\ =0.40m$

Thus, the wavelength of the wave is 0.40 m

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IrinaVladis [17]

Answer:

The displacement was 320 meters.

Explanation:

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3 years ago

How much mass should be attached to a vertical ideal spring having a spring constant (force constant) of 39.5 n/m so that it wil

mrs_skeptik [129]

The frequency of a simple harmonic oscillator such as a spring-mass system is given by
$f= \frac{1}{2 \pi} \sqrt{ \frac{k}{m} }$
where
k is the spring constant
m is the mass attached to the spring.

Re-arranging the formula, we get:
$m= \frac{k}{4 \pi^2 f^2}$
and since we know the constant of the spring:
$k=39.5 N/m$
and the frequency of oscillation:
f=1.00 Hz
we can find the value of the mass attached to it:
$m= \frac{39.5 Hz}{4 \pi^2 (1.00 Hz)^2} = 1.00 kg$

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2 years ago

A 153 g mass is attached to the end of an unstressed vertical spring (of constant 24.7 N/m) and then dropped. The acceleration o

Arte-miy333 [17]

Answer:

The answer to the question is

Its maximum speed is 1.54 m/s

Explanation:

Work done = Kinetic energy

0.5·m·v² = 0.5·k·x²

Where

m = mass

v = velocity

k = spring constant

x = extension of the spring

We note that Force F is given by

F = m·a

Where

a = acceleration due to gravity

= 0.153×9.8 = 1.4994 N

Equating the work done by the force to the work done on the spring gives

Work done = Force × Distance = 1.4994×x = 0.5×k÷x² = 0.5×24.7×x²

x = 1.4994÷12.35 = 0.121 m

Substituting the value of x into the equation below gives

0.5·m·v² = 0.5·k·x²

0.5×0.153×v² = 12.35×0.121²

v² = 0.182÷0.0765 = 2.379

v = 1.54 m/s

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Answer:

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