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goldenfox [79]
3 years ago
6

A woman is standing in the ocean, and she notices that after

Physics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

Period, T = 10.86 seconds  

Frequency, f = 0.092 Hz  

Wavelength, \lambda=39.257883151578\ m          

Speed, v = 3.61 m/s                                                        

Explanation:

It is given that,

A woman notices that a wave crest passes by, five more crests pass in a time of 54.0 .

The distance between two successive crests is, the wavelength of wave, \lambda=39.257883151578\ m

(b)Frequency of a wave is given by number of oscillations per second such that,

f=\dfrac{n}{t}

f=\dfrac{5}{54}

f = 0.092 Hz

(a) Let T is the period of the wave. It is inverse of frequency of a wave such that,

T=\dfrac{1}{f}

T=\dfrac{1}{0.092}

T = 10.86 seconds

(c) The distance between two successive crest or trough is called wavelength of a wave, \lambda=39.257883151578\ m.

(d) The speed of a wave is given by :

v=f\lambda

v=0.092\times 39.257883151578

v = 3.61 m/s

Hence, this is the required solution.

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natima [27]

Answer:

The total mechanical energy of the pizza crust is 19.2 J.

Explanation:

Mechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position, and which is capable of producing mechanical work. Then:

Potential energy + kinetic energy = total mechanical energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed.

Kinetic energy is represented by the following formula:

Ec = ½ *m*v²

Where Ec is kinetic energy, which is measured in Joules (J), m is mass measured in kilograms (kg), and v is velocity measured in meters over seconds (m / s).

In this case:

  • m=0.547 kg
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Replacing:

Ec = ½ *0.547 kg*(5 m/s)²

and solving you get:

Ec= 6.8375 J

On the other hand, potential energy is the energy that measures the ability of a system to perform work based on its position. In other words, this is the energy that a body has at a certain height above the ground.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the force of gravity. Then for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:

Ep = m*g*h

Where Ep is the potential energy in joules (J), m is the mass in kilograms (kg) is h the height in meters (m) and g is the acceleration of fall in m / s² (approximately 9.81 m/s²)

In this case:

  • m= 0.547 kg
  • g= 9.81 m/s²
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Replacing

Ep= 0.547 kg *9.81 m/s²* 2.30 m

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Total mechanical energy= 19.1795 J≅ 19.2 J

<u><em>The total mechanical energy of the pizza crust is 19.2 J.</em></u>

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