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arsen [322]
3 years ago
7

A sinusoidal wave has the following wave function: y(x,t) = (2.5 m) sin[(3.0 m-1) x – (24 s-1) t + π/2] What is the frequency of

this wave?
Physics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:

3.82 Hertz

Explanation:

y = 2.5 Sin\left (3x-24t+\frac{\pi }{2}  \right )

This is the equation of a wave which varies sinusoidally.

The standard equation of a wave is given by

y = A Sin\left ( kx-\omega t+\phi  \right )

where, A be the amplitude of the wave, k be the wave number, x be the displacement of wave, ω be the angular frequency and t be the time taken, and Ф be the phase angle.

now compare the given equation by the standard equation, we get

k = 3

ω = 24

Ф = π / 2

So, the angular frequency = 24

The relation between the angular frequency and the frequency is given by

ω = 2 x π x f

24 = 2 x 3.14 x f

f = 3.82 Hertz

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A 67 kg soccer player uses 5100 kJ of energy during a 2.0 h match. What is the
Oksanka [162]

The  average power produced by the soccer player is  710 Watts.

Given the data in the question;

  • Mass of the soccer player; m = 67kg
  • Energy used by the soccer player; E = 5100KJ = 5100000J
  • Time; t = 2.0h = 7200s

Power; P =\ ?

Power is simply the amount of energy converted or transferred per unit time. It is expressed as:

Power = \frac{Energy\ converted }{time}

We substitute our given values into the equation

Power = \frac{5100000J}{7200s}\\\\Power = 708.33J/s \\\\Power = 710J/s \ \ \ \ \ [ 2\ Significant\ Figures]\\\\Power = 710W

Therefore, the  average power produced by the soccer player is  710 Watts.

Learn more: brainly.com/question/20953664

8 0
2 years ago
When a balloon is deflating, why does air leave the balloon?
Gwar [14]

Answer:

<em>When a balloon deflates air moves out of the balloon </em><em>because the pressure inside the balloon is higher than the pressure outside the balloon.</em>

Explanation:

An inflated balloon has a high pressure region on its inside. Gases always move from a region of high pressure to a region of low pressure. When a balloon is inflated its membrane stretches making it even more porous.

The gas molecules inside the balloon easily diffuse out through this membrane. The diffusion rate may differ depending on the type of gas filled inside the balloon and the material of the balloon. For example helium balloon deflates faster than common air balloon.

This is because helium is a light element and can escape easier than gases like nitrogen and oxygen through the porous membrane of the balloon.

6 0
2 years ago
A man weighing 800 newtons is standing on a chair. In order to support the man, the chair is exerting a force of.
san4es73 [151]

The chair is exerting a force of 800N.

Force is a quantity that is used to describe the interaction between two objects. Forces can cause objects to accelerate, decelerate, or change direction. In other words, forces can cause objects to move or change the way they are moving. The weight of an object is a measure of the force of gravity on that object and is calculated by multiplying the object's mass by the acceleration due to gravity.

In the given case, It would need a force equal to his weight (800 N) pressing in the opposite direction for the man to be able to rise up in the chair. Therefore, the 800 N force would be pushed upwards if he were to press down by standing on it.

Read more about the force on:

brainly.com/question/27943482

#SPJ4

7 0
9 months ago
Two clear but non-mixing liquids each of depth 15 cm are placed together in a glass container. The liquids have refractive indic
murzikaleks [220]

Answer:

A. 19.8 cm.

Explanation:

The apparent depth of the combination is

As it mentioned that the two clear but non-mixing liquid having depth of 15 cm that placed in a glass container together

Also the refractive indices would be 1.75 and 1.33

Based on the above information

As we know that

Refractive indices = real depth ÷ apparent depth

1.33 ÷ 1.75 = 15  ÷ apparent depth

So, it would be 19.736842 cm

Now the combination of apparent depth would be

= ( 19.736842 + 15) ÷ (1.75)

= 19.8 cm

hence, the correct option is A.

4 0
3 years ago
the magnitude of the normal force acting on a person with a mass of 70 kg standing at rest on the flat ground would be
Virty [35]

Answer: 700 Newtons

Explanation:

The normal force=mg in this scenario (I'm using g=10m/s^2). Plugging in 70 kilograms into the equation will result in a normal force of 700 newtons.

6 0
3 years ago
Read 2 more answers
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