If the Moon did not rotate at the same rate that it revolved, which of the following would be true?

Two adjacent natural frequencies of an organ pipe are determined to be 986 Hz and 1102 Hz. (Assume the speed of sound is 343 m/s

ch4aika [34]

Answer:

The fundamental frequency and the length of the pipe are 115.8 Hz and 1.48 m.

Explanation:

Given that,

First frequency = 986 Hz

Second frequency = 1102 Hz

We need to calculate the length of the pipe

Using formula of length

$\Delta f=f_{2}-f_{1}=\dfrac{nv}{2L}$

Put the value into the formula

$1102-986=\dfrac{1\times343}{2\times L}$

$L=\dfrac{343}{2\times116}$

$L=1.48\ m$

We need to calculate the fundamental frequency of this pipe

$f_{1}=\dfrac{nv}{2L}$

Put the value into the formula

$f_{1}=\dfrac{1\times343}{2\times1.48}$

$f_{1}=115.8\ Hz$

Hence, The fundamental frequency and the length of the pipe are 115.8 Hz and 1.48 m.

5 0

3 years ago

Lithium has an atomic number of 3. How many electrons does it have?

Sedaia [141]

Answer:

it has 3 electrons. brainliest please

4 0

3 years ago

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A 480 g peregrine falcon reaches a speed of 69 m/s in a vertical dive called a stoop. If we assume that the falcon speeds up und

LiRa [457]

Answer:

The minimun height is 242 [m]

Explanation:

We can solve this problem by using the principle of energy conservation, where potential energy becomes kinetic energy. We will take the point where the Falcon reaches the speed of 69 (m/s), as the point where the potential energy is zero, i.e. it will be the reference point.

At the reference point all potential energy has been transformed into kinetic energy, therefore the kinetic energy can be calculated.

$E_{k}=0.5*m*v^{2} \\ where:\\v = velocity = 69 [m/s]\\m = mass = 480[g] = 0.480[kg]\\E_{k} = kinetic energy [J]\\E_{k} =0.5*0.48*(69)^{2} \\E_{k} =1142.64[J]$

Now we can calculate the elevation with respect to the reference point using the definition of the potential energy.

$E_{p}=m*g*h\\ E_{p}=E_{k} \\therefore\\h= E_{p}/(m*g)\\h= 1142.64/(.48*9.81)\\h=242[m]$

4 0

4 years ago

Choose all of the examples of balanced forces.

SVEN [57.7K]

Answer:

book on flat table

Explanation: the table pushes upward on the book while gravity pulls downward.

6 0

4 years ago

In a "worst-case" design scenario, a 2000 kg elevator with broken cables is falling at 4.00 m/s when it first contacts a cushion

Whitepunk [10]

Answer:

A. V =3.65m/s

B. a = 4m/s^2

Explanation:

Determine force of gravity (f) on the elevator.

f = mg

(m = 2000kg, g = 9.8m/s

2000kg × 9.8m/s^2= 19600N

Given,

Force of opposing friction clampforce of gravity = 17000N

the Net force on the elevator

= force of gravity - Force of opposing friction clamp

=19600 - 17000

= 2600 N

Lets determine the kinetic energy of the elevator at the point of contact with the spring

K.E = 1/2 m v^2

(m = 2000kg, v = 4.00m/s)

= (1/2) × 2000kg × (4m/s)^2

= 16000J

kinetic energy and energy gain will be absorbed by the spring across the next 2m

Therefore,

E = K.E + P.E

K.E = 16000J,

P.E of spring = net force absorbed × distance at compression

net force absorbed = 2600N and distance at compression = 2.0m)

P.E = 5200J

E = 16000J + 5200J

E = 21200 J

Note, spring constant wasn't given

Lets determine it's value

Using,

E = (1/2) × k × (x)^2

Where:

E = energy = 21200J, K = ?, X = 2m

21200J=(1/2) × k × (2m)^2

21200J × 2 =(4m)k

K = 42400J/4m

K = 10600 N/m

Therefore,

acceleration at 1m compression = ?

Using F = K × X

(F is force provided by the spring = 10600N/m, K = 10600 N/m and X = 1m)

= 10600N/m × 1m = 10600 N ( upward)

A. The speed of the elevator after it has moved downward 1.00 {\rm m} from the point where it first contacts a spring?

Using.

original Kinetic energy + net force on the elevator = final kinetic energy + spring energy

16000N + 2600N = (1/2)mv^2 + (1/2)k x^2

18600 = (1/2)(2000)(v^2) + (1/2)(10600N)(1^2)

18600 = 1000(v^2) + 5300

18600 - 5300 = 1000(v^2)

13300 = 1000(v^2)

V^2 = 13.300

V =3.65m/s

The acceleration of the elevator is 1.00 {\rm m} below point where it first contacts a spring

Spring constant = net force on the elevator + resultant force

(Spring constant = 10600N, net force on the elevator = 2600N, resultant force = ?)

10600N = 2600N + resultant force

resultant force = 10600N - 2600N

=8000N

Therefore

F = ma

a = f/m

(a = ?, f =8000N and m =2000kg)

= 8000 / 2000

a = 4m/s^2

(It's accelerating upward, since acceleration is positive

5 0

3 years ago

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If the Moon did not rotate at the same rate that it revolved, which of the following would be true?​

If the Moon did not rotate at the same rate that it revolved, which of the following would be true?