A researcher is trying to identify whether household substances are basic. Which approach would BEST help the researcher

larisa86 [58]

The force of gravity is positive 9.8m/s^2.

6 0

3 years ago

A string of length L, mass per unit length \mu, and tension T is vibrating at its fundamental frequency. What effect will the fo

viva [34]

The fundamental frequency on a vibrating string is given by:

$f=\frac{1}{2L}\sqrt{\frac{T}{\mu}}$

where

L is the length of the string

T is the tension

$\mu$ is the mass per unit length of the string

Keeping this equation in mind, we can now answer the various parts of the question:

(a) The fundamental frequency will halve

In this case, the length of the string is doubled:

L' = 2L

Substituting into the expression of the fundamental frequency, we find the new frequency:

$f'=\frac{1}{2(2L)}\sqrt{\frac{T}{\mu}}=\frac{1}{2}(\frac{1}{2L}\sqrt{\frac{T}{\mu}})=\frac{f}{2}$

So, the fundamental frequency will halve.

(b) the fundamental frequency will decrease by a factor $\sqrt{2}$

In this case, the mass per unit length is doubled:

$\mu'=2\mu$

Substituting into the expression of the fundamental frequency, we find the new frequency:

$f'=\frac{1}{2L}\sqrt{\frac{T}{2 \mu}}=\frac{1}{\sqrt{2}}(\frac{1}{2L}\sqrt{\frac{T}{\mu}})=\frac{f}{\sqrt{2}}$

So, the fundamental frequency will decrease by a factor $\sqrt{2}$ .

(c) the fundamental frequency will increase by a factor $\sqrt{2}$

In this case, the tension is doubled:

$T'=2T$

Substituting into the expression of the fundamental frequency, we find the new frequency:

$f'=\frac{1}{2L}\sqrt{\frac{2T}{\mu}}=\sqrt{2}(\frac{1}{2L}\sqrt{\frac{T}{\mu}})=\sqrt{2}f$

So, the fundamental frequency will increase by a factor $\sqrt{2}$ .

8 0

4 years ago

Canada geese migrate essentially along a north–south direction for well over a thousand kilo-meters in some cases, traveling at

kotykmax [81]

Answer:

a) 66.4 relative to the west in the south-west direction

b) 5.455 hours

Explanation:

a)If the wind is blowing east-ward at a speed of 40km/h, then the west component of the geese velocity must be 40km/h in order to counter balance it. Geese should be flying south-west at an angle of

$cos(\alpha) = 40 / 100 = 0.4$

$\alpha = cos^{-1}(0.4) = 1.16 rad = 180\frac{1.16}{\pi} = 66.4^0$ relative to the West

b) The south-component of the geese velocity is

$100sin(\alpha) = 100sin(66.4^0) = 91.65 km/h$

The time it would take for the geese to cover 500km at this rate is

t = 500 / 91.65 = 5.455 hours

7 0

4 years ago

If a substance can be separated by physical means and looks the same throughout what is it?

Gnom [1K]

A homogenous mixture is a mixture that is uniform throughout and can be separated by physical means. An example of which is the blood where its composition is uniformly mixed throughout but it can be separated by centrifugation, a physical means using the speed of rotation. Here, the denser particles are forced to settle in the bottom and the lighter particles stay at the top when rotated quickly.

7 0

4 years ago

An alpha particle is identical to a _____.

djyliett [7]

An alpha particle is identical to a helium nucleus. The correct option among all the options given in the question is option "A". In case of both the alpha particle nucleus and helium nucleus, there are two protons and two neutrons. Alpha particles are generally formed during the process of alpha decay. They can also be produced in other ways.

8 0

4 years ago

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