At what angle does the line 2x=y=2z intersection with ellipsoid

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

so

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

so

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

3 years ago

9 3/10 - 5 3/4 as a mixed number in simplest form

Artemon [7]

Answer:

3 1/20

Step-by-step explanation:

First, we will convert the mixed numbers into improper fractions...

9 3/10 (9*10=90+3=93) so the improper fraction is 93/10

5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4

We then want to make the denominator the same...

93/10 (*4) = 372/40

23/4 (*10) = 230/40

We then put it into the question...

372/40 - 230/40 = 142/40

Lastly, we now need to turn this into a mixed number...

142/40=3.55 so the answer is 3 2/40

3 2/40 in it's simplest form is 3 1/20

Hope this helps!

6 0

2 years ago

Read 2 more answers

Tim is a handy-man, and he charges a house call fee of $30 plus $20 an hour for repairs on a home.

ladessa [460]

20 is the slope and 30 is the y-intercept

4 0

2 years ago

Read 2 more answers

What is 121 rounding to the nearest 100 and what is 252 rounding to the nearest 100

joja [24]

121 rounded to the nearest 100 is 100 because 121 is closer to 100 than 200.
252 rounded to the nearest hundred is 300 because 252 is closer to 300 than 100.

8 0

3 years ago

Read 2 more answers

Please help me rn!!!!!

neonofarm [45]

The answer is A, the first one :)

3 0

2 years ago