Solve: 8x2 + 64x = 0. x = 0, x = −8 x = 0, x = 8 x = −8, x = 0, x = 8 x = 8, x = 64

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

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the square?

Stells [14]

Answer:

32

Step-by-step explanation:

The diagonal of a square has a length of x sqrt(2), where x is the side length. This means the perimeter of the square is 4 (11.3/sqrt(2)), which means the perimeter is approx. 4*8, which is 32

7 0

3 years ago

8.234 E14 in standard form

insens350 [35]

Answer:

8234.000 x 10^3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Point A and point B are placed on a number line. Point A is located at -20 and point B is 5 less than point A. Which statement a

dusya [7]

The correct answer is b im sure.

3 0

3 years ago

Juan runs a total of 11,775 feet around a circular track, burning 12 calories each lap. The track’s diameter is 150 feet. How ma

kozerog [31]

Answer:

300 calories

Step-by-step explanation:

he burns 12 calories each lap so you need to know how many laps he ran

which means you need to find the circumference of the track, whose formula is 2πr; remember, radius is half the diameter.

C = 2π75

C = 150π

C ≈ 471

Now divide the total number of feet he ran (11,775) by the circumference to arrive at the number of laps.

11775 ÷ 471 = 25 laps

25 x 12 = 300 calories burned in total

4 0

3 years ago