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sasho [114]
1 year ago
7

A transverse sinusoidal wave on a string has a period T= 25.0ms and travels in the negative x direction with a speed of 30.0 m/s

. At t = 0 , an element of the string at x = 0 has a transverse position of 2.00cm and is traveling downward with a speed of 2.0 m/s .(d) Write the wave function for the wave.
Physics
1 answer:
aleksandrvk [35]1 year ago
6 0

The wave is equation with the given conditions is y = 0.02 cos ( 0 )

<u>Given data</u>

period T= 25.0ms

speed of 30.0 m/s

t = 0

x = 0

transverse position of 2.00cm

speed of 2.0 m/s = v

<h3>writing the wave function </h3>

frequency f = 1 / T

f = 1 / 25

f = 0.04Hz

Angular velocity = ω = 2 * pi * f

ω = 2 * pi * 0.04

ω = 0.251

wave number K = ω / v

k = 0.251 / 2

k = 0.126

The wave equation

y = A cos (  kx + ωt )

this is equivalent to

y = 0.02 cos ( 0.126 * 0 + 0.251 * 0 )

y = 0.02 cos ( 0 )

Read more on wave equation here: brainly.com/question/28167443

#SPJ4

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Please help
kodGreya [7K]

This question involves the concept of Newton's Second Law of Motion.

a) The acceleration is "1 m/s²".

b) The acceleration is "1.5 m/s²".

c) The amount of force needed is "100 N".

d) The force needed is "187.5 N".

e) The force needed is "280 N".

<h3>NEWTON'S SECOND LAW OF MOTION:</h3>

According to Newton's Second Law of motion whenever an unbalanced force is applied on an object, it produces an acceleration in the object in the direction of the force itself.

Mathematically,

F = ma

where,

  • F = Applied Force
  • m = mass of the object
  • a = acceleration

a)

Here,

  • F = 100 N
  • m = 100 kg
  • a = ?

Therefore,

a=\frac{F}{m}=\frac{100\ N}{100\ kg}

<u>a = 1 m/s²</u>

<u></u>

b)

Here,

  • F = 60 N
  • m = 40 kg
  • a = ?

Therefore,

a=\frac{F}{m}=\frac{60\ N}{40\ kg}

<u>a = 1.5 m/s²</u>

<u></u>

c)

Here,

  • F = ?
  • m = 200 kg
  • a = 0.5 m/s²

Therefore,

F=ma = (200\ kg)(0.5\ m/s^2)

<u>a = 100 N</u>

<u></u>

d)

Here,

  • F = ?
  • m = 250 kg
  • a = 0.75 m/s²

Therefore,

F=ma = (250\ kg)(0.75\ m/s^2)

<u>a = 187.5 N</u>

<u></u>

e)

Here,

  • F = ?
  • m = 140 kg
  • a = 2 m/s²

Therefore,

F=ma = (140\ kg)(2\ m/s^2)

<u>a = 280 N</u>

<u></u>

Learn more about Newton's Second Law of motion here:

brainly.com/question/13678295

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