What is the mathematical formula for relating velocity, wavelength, and frequency?

A weight of 50.0 N is suspended from a spring that has a force constant of 210 N/m. The system is undamped and is subjected to a

Fittoniya [83]

Answer:

The maximum value of the driving force is 1044.01 N.

Explanation:

Given that,

Weight of the object, W = 50 N

Force constant of the spring, k = 210 N/m

The system is undamped and is subjected to a harmonic driving force of frequency 11.5 Hz.

Amplitude, A = 4 cm

We need to find the maximum value of the driving force. The force is given by the product of mass and maximum acceleration as :

$F=mA\omega^2$ .....(1)

A is amplitude

m is mass,

$m=\dfrac{W}{g}\\\\m=\dfrac{50}{10}\\\\m=5\ kg$

$\omega$ is angular frequency

Angular frequency is given by :

$\omega=2\pi f\\\\\omega=2\pi \times 11.5\\\\\omega=72.25\ rad/s$

Equation (1) becomes :

$F=5\times 0.04\times 72.25^2\\\\F=1044.01\ N$

So, the maximum value of the driving force is 1044.01 N.

6 0

4 years ago

How would our society be affected if there was a shortage of copper?

NemiM [27]

If there a shortage of copper put society will the weak in trade and won't be powerful

5 0

4 years ago

Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The object

Soloha48 [4]

The displacement of an object is obtained by taking out the area of the rectangle plus the area of the triangle under the line.

<h3>What is acceleration?</h3>

Acceleration is defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The object moves with constant acceleration.

In velocity time graph, the slope determines the acceleration and the area under the curve gives the value for the displacement.

Thus, the displacement of an object is obtained by taking out the area of the rectangle plus the area of the triangle under the line.

Learn more about acceleration.

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8 0

2 years ago

The amount of energy lost at the transition between each trophic level of the pyramid of energy is about _______. a. 10% b. 50%

Sophie [7]

The amount of energy lost at the transition between each trophic level of the pyramid of energy is about 90%.

There are a total of 4 trophic levels.

The producers which bare plants represent the first trophic level. Herbivores represent the second trophic level. Carnivores represent the third trophic level. Top carnivores represent the fourth trophic level.

The 10 % rule is followed by the energy flow in a food chain. It means that moving from one trophic level to another, only 10% of energy is transferred and the rest is lost in the atmosphere.

So the 90% percent energy is lost at the transition between each trophic level of the pyramid of energy.

If you need to learn more about the trophic levels, click here

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3 0

1 year ago

Read 2 more answers

A rock is thrown by applying a force of 2.50N while doing 6.00J of work. Over what distance was the force applied?

maksim [4K]

Answer:

$\boxed {\boxed {\sf 2.40 \ meters}}$

Explanation:

Work is the product of force and distance, so the formula is:

$W= F \times d$

The work is 6.00 Joules, but

1 Joule (J) is equal to 1 Newton meter (N*m).
Therefore, the work of 6.00 J is equal to 6.00 N*m

The force is 2.50 Newtons.

The known values are:

W= 6.00 N*m
F= 2.50 N

Substitute the values into the formula.

$6.00 \ N*m= 2.50 \ N *d$

We are solving for distance, so we must isolate the variable, d. It is being multiplied by 2.50 Newtons and the inverse of multiplication is division. Divide both sides by 2.50 N.

$\frac {6.00 \ N*m}{2.50 \ N}=\frac{2.50 \ N * d}{2.50 \ N}$

$\frac {6.00 \ N*m}{2.50 \ N}=d$

The units of Newtons cancel out.

$\frac {6.00 m}{2.50 }=d$

$2.40 \ m =d$

The force was applied to the rock over a distance of <u>2.40 meters</u> and choice <u>C</u> is correct.

6 0

3 years ago