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Vitek1552 [10]
2 years ago
11

a 2kg block is attached to a horizontal ideal spring with a spring constant of 200 Newton per minute. when the spring has its eq

uillibrium length of block is given a speed of 5mps. what is the maximum elongation of the spring
Physics
1 answer:
mixas84 [53]2 years ago
5 0

Answer:

The maximum elongation of the spring is 0.5 meters.

Explanation:

The statement is incorrect. The correct form is:

<em>A 2-kg block is attached to a horizontal ideal spring with a spring constant of 200 newton per meter. When the spring has its equillibrium length, the block has a speed of 5 meters per second. What is the maximum elongation of the spring?</em>

The block experiments a simple harmonic motion, where there are no non-conservative forces and the total energy is the sum of translational kinetic energy of the mass and the elastic potential energy of the spring. The maximum elongation of the spring is done when elastic potential energy reach its maximum. By the Principle of Energy Conservation, the maximum elastic potential energy is equal to the maximum translational kinetic energy, which corresponds to the instant when the mass reaches the equilibrium position. Then, the equation modelling the system is:

U_{max} = K_{max} (1)

Where:

U_{max} - Maximum elastic potential energy of the spring, measured in joules.

K_{max} - Maximum translational kinetic energy of the mass, measured in joules.

By definitions of the maximum elastic potential energy of the spring and the maximum translational kinetic energy of the mass, the expression above is expanded and simplified:

\frac{1}{2}\cdot k\cdot x_{max}^{2} = \frac{1}{2}\cdot m \cdot v_{max}^{2}

x_{max} = \sqrt{\frac{m}{k} }\cdot v_{max} (2)

Where:

x_{max} - Maximum elongation of the spring, measured in meters.

m - Mass, measured in kilograms.

k - Spring constant, measured in newtons per meter.

v_{max} - Maximum speed of the mass, measured in meters per second.

If we know that m = 2\,kg, k = 200\,\frac{N}{m} and v_{max} = 5\,\frac{m}{s}, then the maximum elongation of the spring is:

x_{max} = \sqrt{\frac{2\,kg}{200\,\frac{N}{m} } }\cdot \left(5\,\frac{m}{s} \right)

x_{max} = 0.5\,m

The maximum elongation of the spring is 0.5 meters.

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vagabundo [1.1K]

Answer:

The speed of light is that medium is 281907786.2 m/s.

Explanation:

since the critical angle is Фc = 430, we know that the refractive index is given by:

n = 1/sin(Фc)

  = 1/sin(430)

  = 1.06

then if n is the refractive index of the medium and c is the speed of light, then the speed of light in the medium is given by:

v = c/n

  = (3×10^8)/(1.06)

  = 281907786.2 m/s

Therefore, the speed of light is that medium is 281907786.2 m/s.

8 0
3 years ago
Which instrument would make rice vibrate easier, a tuba or a flute? Explain why. Hint: think about the difference between high a
algol13

Answer:

I assume the higher notes would make the rice vibrate more easily, so a flute.

8 0
3 years ago
Electricity costs 6 cents per kilowatt hour. In one month one home uses one megawatt hour of electricity. How much will the elec
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Answer:

Cost of 1000  kilowatt hour = 6000 cents

Explanation:

Given that

Electricity cost is 6 cents per kilowatt hour.

And we have to found out the cost for one megawatt hour

We know that

1 kilowatt = 1000 watt

1 megawatt = = 1000000 watt

1 megawatt = 1000 kilowatt

1 megawatt hour = 1000 kilowatt hour  

Given that cost of 1 kilowatt hour = 6 cents

So the cost of 1000  kilowatt hour = 6 x 1000 cents

Cost of 1000  kilowatt hour = 6000 cents

3 0
3 years ago
A mover uses a ramp to load a crate of nails onto a truck. The crate, which must be lifted 1.5 m from the street to the bed of t
jonny [76]

Answer:

<h2>3</h2>

Explanation:

Using the efficiency formula. Efficiency = MA/VR * 100%

MA = Mechanical Advantage

VR = velocity ratio = \frac{distance\ moved\ by\ effort}{distance\ moved\ by\ load}

Distance moved by effort = 4.5m

distance moved by load = 1.5m

VR = 4.5/1.5 =3

Assuming efficiency is 100% (since friction can be ignored)

100% = MA/3 * 100%

1 = MA/3

MA = 3*1

MA = 3

Mechanical Advantage of the ramp is 3

8 0
3 years ago
The average life span in the United States is about 70 years. Does this mean that it is impossible for an average person to trav
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Answer:

for the people of the Earth traveling they last much more than 70 years

Explanation:

In order to answer this answer we must place ourselves in the context of special relativity, which are the expressions for time and displacement since the speed of light has a finite speed that is the same for all observers.

 The life time of the person is 70 years in a fixed reference system in the person this time we will call their own time (t₀), when the person is placed in a ship that moves at high speed, very close to the speed of the light the time or that an observer measures on Earth, the expression for this time is

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We see that if the speed of the ship is very close to the speed of light the  

the value of the root of the denominator is very high, for which for the person on Earth it measures a very large time even when the person on the ship travels has a time within its 70 years of life

In concussion, for the people of the Earth traveling they last much more than 70 years

5 0
3 years ago
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