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vlabodo [156]
3 years ago
6

You are outdoors when you hear the constant chirp of a still cricket. You start walking toward the cricket and at some point you

are able to detect that the intensity of the chirp of the cricket has increased by a factor of 4.1) What of the following statements is true at your new position with respect to the cricket?2) The power delivered by the sound wave you hear has doubled.3) The speed of the sound wave emitted by the cricket has decreased by a factor of 4.4) The distance between you and the cricket has decreased by a factor of 2.
Physics
1 answer:
givi [52]3 years ago
3 0

Answer:

4) True, the distance was reduced by a de factor 2

Explanation:

To analyze the statements, let's first see how the sound is produced

The cricket makes the sound rubbed its legs, the energy needed to produce it is constant, after the sound is produced it expands in all directions and this wave is subject to the law of energy conservation.

By expanding in all directions we can assume that the energy for the time that is the power of the sound is distributed over a sphere with different radii each time. The perceived intensity is defined as the power per unit area

       I = P / A

Where P is the power, A are the areas and I are the intensities heard by the person

Let's clear the power and match, for two different radii (distances)    

      P = I₁ A₁ = I₂ A₂

The area of ​​a sphere is

     A = 4π R₂

     I₂ = I₁ A₁ / A₂

     I₂ = I₁ 4π R₁² / 4π R₂²

     I₂ = I₁ R₁² / R₂²

Let's analyze this last equation for the situation presented if the intensity increases 4 times, substitute

    I₂ = 4 I₁

    4 I₁ = I₁ R₁² / R₂²

   R₂ = R₁ / 2

We see that to increase the intensity 4 times the distance was reduced twice

Now we can analyze the expressions given

2) False, the power is constant, the cricket always does the same job

3) False, the speed of the wave is constant in the air

4) True, the distance was reduced by a de factor 2

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8 0
3 years ago
A block is projected up a frictionless inclined plane with initial speed v0 = 1.72 m/s. The angle of incline is θ = 44.8°. (a) H
Snowcat [4.5K]

Explanation:

Given

initial velocity(v_0)=1.72 m/s

\theta =44.8{\circ}

using v^2-u^2=2as

Where v=final velocity (Here v=0)

u=initial velocity(1.72 m/s)

a=acceleration   (gsin\theta )

s=distance traveled

0-(1.72)^2=2(-9.81\times sin(44.8))s

s=0.214 m

(b)time taken to travel 0.214 m

v=u+at

0=1.72-gsin(44.8)\times t

t=\frac{1.72}{9.8\times sin(44.8)}

t=0.249 s

(c)Speed of the block at bottom

v^2-u^2=2as

Here u=0 as it started coming downward

v^2=2\times gsin(44.8)\times 0.214

v=\sqrt{2.985}

v=1.72 m/s

3 0
4 years ago
A charged particle enters into a uniform magnetic field such that its velocity vector is perpendicular to the magnetic field vec
Anit [1.1K]

Answer:

The charged particle will follow a circular path.

Explanation:

The magnetic force exerted on the charged particle due to the magnetic field is given by:

F=qvB sin \theta

where

q is the charge

v is the velocity of the particle

B is the magnetic field

\theta is the angle between v and B

In this problem, the velocity is perpendicular to the magnetic field, so \theta = 90^{\circ}, sin \theta=1 and the force is simply

F=qvB

Moreover, the force is perpendicular to both B and v, according to the right-hand rule. Therefore, we have:

- a force that is always perpendicular to the velocity, v

- a force which is constant in magnitude (because the magnitude of v or B does not change)

--> this means that the force acts as a centripetal force, so it will keep the charged particle in a uniform circular motion. So, the correct answer is

The charged particle will follow a circular path.

8 0
4 years ago
A 1.6 kg block slides with a speed of .95 m/s on a frictionless, horizontal surface until it encounters a spring with a spring c
Bas_tet [7]

Answer:

(a) the compression of the spring when the block comes to rest is 4cm

(b) speed of the block is 0.427 m/s

Explanation:

Given;

mass of the block, m = 1.6 kg

spring constant, k = 902 N/m

initial speed of the block, v₀ = 0.95 m/s

(a) the compression of the spring when the block comes to rest

when the block comes to rest, the final speed, vf = 0

Apply the law of conservation of energy;

¹/₂kx² = ¹/₂mv₀²

kx² = mv₀²

x = \sqrt{\frac{mv_0^2}{k} } \\\\x =  \sqrt{\frac{1.6(0.95)^2}{902} }\\\\x = 0.040 \ m

x = 4 cm

(b)  speed of the block

Apply the law of conservation of energy;

¹/₂mv² = ¹/₂kx²

mv² = kx²

v = \sqrt{\frac{kx^2}{m}}\\\\v =   \sqrt{\frac{(902)(0.018)^2}{1.6}}\\\\v = 0.427 \ m/s

7 0
3 years ago
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Sphinxa [80]

Answer: 2kg

Explanation:

This problem is a textbook conservation of momentum problem. The intial momentum is equal to the final momentum. For the initial state of each block, only the first one was moving. Then they both combine to move together.

Pi = Pf

with p = mv

(6kg)*(4m/s) = (6kg+xkg)(3m/s)

Let x equal the unknown mass of block 2

24 = 18 + 3x

6 = 3x

x = 2kg

6 0
3 years ago
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