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goblinko [34]
3 years ago
8

A machine, modeled as a simple spring-mass system, oscillates in simple harmonic motion. Its acceleration is measured to have an

amplitude of 10,000 mm/s2 with a frequency of 8 Hz. Compute the maximum displacement the machine undergoes during this oscillation.
Physics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

3.96*10^-3 m

Explanation:

Given that

Amplitude, A = 10000 mm/s² = 10 m/s²

Frequency, f = 8 hz

the maximum acceleration of a simple harmonic motion is given as

|a|(max) = Aw², where

A = amplitude of the simple harmonic motion

w = angular frequency of the simple harmonic motion

Remember, w = 2πf, so

w = 2 * 3.142 * 8

w = 50.272 rad/s

Rearranging the formula, and making a the subject, we have

A = |a|(max) / w², so that

A = 10 / 50.272²

A = 10 / 2527.27

A = 0.00396 m

A = 3.96*10^-3 m

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rusak2 [61]

Answer : The number of molecules of A needed to make 5000 molecules of AB will be, 5000

Explanation :

Law of conservation of mass : It states that mass can neither be created nor be destroyed but it can only be transformed from one form to another form.

The given balanced chemical reaction is,

A+B\rightarrow AB

As per question, molecule B is an excess reagent because it had enough molecule to make 5000 molecules of AB. So, molecule A is limiting reagent.

From the balanced reaction, we conclude that

As, 1 molecule of AB produced from 1 molecule of A

So, 5000 molecule of AB produced from 5000 molecule of A

Hence, the number of molecules of A needed to make 5000 molecules of AB will be, 5000

8 0
3 years ago
on a Powerline birds can enjoy sitting from one live wire to the other. However,if a person touches it,then the person will die
Alika [10]

Answer:

Due to potential difference (elaborated in explanation)

Explanation:

When a bird sits on a power line, its whole body is in contact with the power line. It does not have any contact with the ground or anything at a lower potential. Hence, the current does not flow through the bird's body, because there is no potential difference available as a driving force.

Now, when a person touches the power line his hand is at a higher potential provided by the power line, while the rest of his body is connected to the ground, usually through legs. The current always looks for a path from high potential to low potential. Therefore, the body of the person serves as the path for the current. Heavy current flows through the body and the person dies within split seconds.

7 0
3 years ago
A powerboat is operating at night. which of these lights must be shown?
Illusion [34]
If the powerboat is operating at night, the light that must be shown is: <span>A white masthead light
Since dark colors dominated the surrounding during the night time, a white masthead light will provide the exact contrast for the color in the surrounding, which makes it easily identified from far away.</span>
5 0
3 years ago
A skateboarder travels on a horizontal surface with an initial velocity of 4.0 m/s toward the south and a constant acceleration
Alenkinab [10]

Answer:

a) 0.32 m b) -2.4 m c) 1.08 m/s d) -4 m/s

Explanation:

a)

  • As the x and y axes (as chosen) are perpendicular each other, the movements along these axes are independent each other.
  • This means that we can use the kinematic equations for displacements along both axes.
  • In the x direction, as the only initial velocity is in the south direction (-y axis), the skateboarder is at rest, so we can write:

        x =\frac{1}{2}*a*t^{2} (1)

  • In the y-direction, as no acceleration is acting on the skateboarder, we can write  the following displacement equation:

        y = v_{0y} * t  (2)

  • For t = 0.6s, replacing by the givens, we get the position (displacement from the origin) on the x-axis, as follows:

       x =\frac{1}{2}*a*t^{2} =\frac{1}{2} * 1.8 m/s2*(0.6s)^{2}\\ x = 0.32 m

b)

  • From (2) we can get the position on the y-axis (displacement from the origin) as follows:

        y = v_{0y} * t  =  -4 m/s * 0.6 s = -2.4 m

c)

  • In the x- direction, we can find the component of the velocity along this direction, as follows:

        v_{fx} = a*t

  • Replacing by the values, we have:

        v_{fx} = a*t = 1.8 m/s2 * 0.6 s = 1.08 m/s

d)

  • As the skateboarder moves along the y-axis at a constant speed equal to her initial velocity, we  have:

        vfy = voy = -4 m/s

8 0
4 years ago
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lesya [120]

Answer:

All these laws give the relationship between two quantities of the gas among V (volume), p (pressure) and T (temperature), keeping the third one constant - however the two quantities change for each law

Explanation:

Calling:

p = gas pressure

V = gas volume

T = gas temperature (in Kelvin)

We have:

- Boyle's law: the pressure and the volume of a gas kept at constant temperature are inversely proportional. Mathematically,

pV=const.

- Charles's law: the temperature and the volume of a gas kept at constant pressure are directly proportional. Mathematically,

\frac{V}{T}=const.

- Gay Lussac's law: the temperature and the pressure of a gas kept at constant volume are directly proportional. Mathematically,

\frac{p}{T}=const.

3 0
3 years ago
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