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skad [1K]
2 years ago
6

Two compact sources of sound oscillate in phase with a frequency of 100 Hz. At a point 5.00m from one source and 5.85 m from the

other, the amplitude of the sound from each source separately is A. (a) What is the phase difference of the two waves at that point? (b) What is the amplitude (in terms of A) of the resultant wave at that point?
Physics
1 answer:
antoniya [11.8K]2 years ago
5 0

Answer:

(a)1.557 radian (b) 1.424 A

Explanation:

Frequency of oscillation of sound = 100 Hz

\Delta r=5.85-5=0.85m

(a)The phase difference is given by \frac{2\pi \Delta r}{λ} where v is the velocity of sound in air

So phase difference \frac{2\pi \Delta rf}{v} as \lambda =\frac{v}{f}

So phase difference =\frac{2\times 3.14\times 0.85\times 100}{343}=1.557radian

(b) The  resultant amplitude is given by 2Acos\frac{\Phi }{2}=2\times A\times cos\frac{1.557}{2}=1.424A

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2 years ago
A man is throwing a spear from the top of a cliff, 5 metres from ground, at a 20° angle towards a fish that is 35 metres away. a
svlad2 [7]

Answer:

Horizontal component of the initial velocity=v ×cos20°

horizontal displacement= 35m

time taken. (t)=35÷(v×cos20°)

vertical component of the initial velocity= v×sin20°

vertical displacement= -5m(since it is opposite to the direction of the initial velocity. )

application of s=ut+1/2at×t. vertically,

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3 years ago
Two small metallic spheres, each of mass 1.0 g are suspended as pendulums by light strings from a common point. The spheres are
LUCKY_DIMON [66]

Answer:

Q = 1.52 X 10⁻⁷ C.

Explanation:

String is inclined at 10 degree with the vertical so the vertical component of T will balance the weight and the horizontal component will balance the force of repulsion F.

T Cos 10 = mg

T Sin 10 = F

Tan 10 = F / mg

F = mg Tan 10

= 10⁻³ x 9.8 x .176

= 1.728 x 10⁻³ .

Force of repulsion F = K Q² / R²

Distance between two charges = 2 x 1 x sin 10

= .347 m

1.728 X 10⁻³ = [tex]\frac{9\times10^9\times Q^2}{(0.347)^2}[/tex]

Q² = 2.31 X 10⁻¹⁴

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3 years ago
a pulley is assumed massless and frictionless and rotates freely about its axle. the blocks have masses m1=40g and a block m2= 2
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The magnitude of acceleration of a block m₂ is 0.05 m/s² and the tension in the cord is 0.01 N.

Given:

mass of block 1, m₁ = 40 gm = 40×10⁻³ kg

mass of block 2, m₂ = 20 gm = 20×10⁻³ kg

Applied force, F = 0.03 N

Calculation:

Consider the free-body diagram of the system as shown below. Using Newton's second law of motion we get:

F = ma

where F is the applied force

            m is the total mass of the system

            a is the acceleration of block 2 (as it is pulled by horizontal force)

From the above equation we get:

0.03 N = (m₁+m₂) a

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Now, from the free-body diagram of block 2 as shown in figure 3, we get:

Balancing the forces along the horizontal:

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∴ T = m₂ a

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Applying values in the above equation we get:

T = (20×10⁻³ kg) × (0.5 m/s²)

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Therefore, the acceleration of block 2 due to the applied horizontal force is 0.5 m/s² and the tension in the cord is 0.01 N.

Learn more about tension here:

<u>brainly.com/question/13397436</u>

#SPJ4

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