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Juliette [100K]
3 years ago
13

Check the correctness of formula t=2π √m/k, dimensionally​

Physics
1 answer:
pantera1 [17]3 years ago
4 0

Hi there! Lets see!

  • m is mass, and its units are kg
  • k is the elastic constant measured in newtons per meter (N/m), or kilograms per second squared kg/s²

Therefore:

\sqrt{\dfrac{m}{k}} =\sqrt{\dfrac{[kg]}{[\dfrac{kg}{s^2}]}}  =\sqrt{\dfrac{[kg]}{[kg]}\cdot s^2} = \sqrt{[s]^2} = s

The period is given in seconds so the formula is dimensionally​ correct.

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Science Tolliver
Nookie1986 [14]

Answer:

Objects; waves.

Explanation:

Waves interact with objects and other waves. Thus, waves are used on objects such as mobile phones and can be transformed from one form to another.

There are various types of waves in our physical environment such as gamma rays, x-rays, ultraviolet waves, radio waves etc.

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.

Basically, as a result of radio waves having long wavelengths, they are mainly used in long-distance communications such as the carriage and transmission of data. Some examples of communication technologies that uses radio waves are radio set, mobile phones, television etc.

6 0
3 years ago
Which of the following items conducts thermal energy best?
kompoz [17]
Its b i belive

because it the only thing i saw on the list that conduts

                                      
                
   
6 0
3 years ago
Read 2 more answers
How is the reaction quotient used to determine whether a system is at equilibrium?
Juli2301 [7.4K]

Answer:

The answer to the question above is explained below

Explanation:

The reaction quotient, Q, is a measure of the relative amounts of reactants and products during a chemical reaction as it can be used to determine in which direction a reaction will proceed at a given point in time. Equilibrium constant is the numerical value of reaction quotient at the end of the reaction, when equilibrium is reached.

If Q = K then the system is already at equilibrium. If Q < Keq, the reaction will move toward the products to reach equilibrium. If Q > Keq, the reaction will move toward the reactants in order to reach equilibrium. Therefore, by comparing Q and K, we can determine the direction of a reaction.

Where Q= reaction quotient and Keq= equilibrium constant for the reaction.

The larger the equilibrium constant, the further the equilibrium lies toward the products. Reaction quotient is a quantity that changes as a reaction system approaches equilibrium.  

We can determine the equilibrium constant  based on equilibrium concentrations. K is the constant of a certain reaction when it is in equilibrium. Equilibrium occurs when there is a constant ratio between the concentration of the reactants and the products.

4 0
4 years ago
A protostar's radius decreases by a factor of 100 and its surface temperature increases by a factor of two before it becomes a m
Sliva [168]

Answer:

L_f = K (\frac{r}{100})^2 * (2T)^4

L_f = K \frac{r^2}{10000} * 16 T^4

L_f = \frac{16}{10000} k r^2 T^4 = \frac{1}{625} k r^2 T^4

L_f = \frac{1}{625} L_i

So then we see that the final luminosity decrease by a factor of 625 so then the correct answer for this case would be:

B. Decreases by a factor of 625

Explanation:

For this case we can use the formula of luminosity in terms of the radius and the temperature given by:

L_i = K r^2 T^4

Where L_i = initial luminosity, r= radius and T = temperature.

We know that we decrease the radius by a factor of 100 and the temperature increases by a factor of 2 so then the new luminosity would be:

L_f = K (\frac{r}{100})^2 * (2T)^4

L_f = K \frac{r^2}{10000} * 16 T^4

L_f = \frac{16}{10000} k r^2 T^4 = \frac{1}{625} k r^2 T^4

L_f = \frac{1}{625} L_i

So then we see that the final luminosity decrease by a factor of 625 so then the correct answer for this case would be:

B. Decreases by a factor of 625

6 0
3 years ago
Assume that the energy lost was entirely due to friction and that the total length of the PVC pipe is 1 meter. Use this length t
gladu [14]

The question is incomplete. The complete question is :

Assume that the energy lost was entirely due to friction and that the total length of the PVC pipe is 1 meter. Use this length to compute the average force of friction (for this calculation, you may neglect uncertainties).

Mass of the ball :  16.3 g

Predicted range :  0.3503 m

Actual range : 1.09 m

Solution :

Given that :

The predicted range is 0.3503 m

Time of the fall is :

$t=\sqrt{\frac{2H}{g}}$

v_1t= 0.35  ...........(i)

v_0t= 1.09  ...........(ii)

Dividing the equation (ii) by (i)

$\frac{v_0t}{v_1t}=\frac{1.09}{035} = 3.11$

∴ v_0=3.11  \ v_1

Now loss of energy  = change in the kinetic energy

$W=\frac{1}{2} m [v_0^2-v_1^2]$

$W=\frac{1}{2} \times (16.3 \times 10^{-3}) \times [v_0^2-\left(\frac{v_0}{3.11}\right)^2]$

$W=7.307\times 10^{-3} \ v_0^2$

If f is average friction force, then

(f)(L) = W

(f) (1) = $7.307\times 10^{-3} \ v_0^2$

(f)  = $7.307\times 10^{-3} \ v_0^2$

3 0
3 years ago
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