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Verizon [17]
3 years ago
14

A certain pendulum oscillates back and forth every 3.00s . What would the new period be, in s , if the pendulum were one-half of

its original length?
Physics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

2.122 second

Explanation:

T1 = 3 s

L1 = L

L2 = L/2

As we know the time period of a simple pendulum is related by the length of the pendulum as

T =2\pi \sqrt{\frac{L}{g}}

Here, only the length of pendulum changes and the value of g is constant so,

\frac{T_{2}}{T_{1}} =\sqrt{\frac{L_{2}}{L_{1}}}

\frac{T_{2}}{3} =\sqrt{\frac{L}{2L}}

T2 = 2.122 second

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The hydrogen stored inside a large weather balloon has a mass of 13.558 g. What is the volume of this balloon if the density of
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An uniform electric field of magnitude E = 100 N/C is oriented along the positive y-axis. What is the magnitude of the flux of t
Ede4ka [16]

Answer:

The magnitude of the flux of electric field through a square of surface area is zero.

Explanation:

E=100 NC^{-1}\\\\A=2 m^2\\\\Electic\,\,flux\,\,flux\,\,is\,\,given\,\,as:\\\\\phi_E=E.A\,cos\,\theta

It is given that square box is parallel to yz-plane which has normal vector perpendicular to plane in x-direction. Angle between normal vector of area and electric field is 90°. Substituting in (1)

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4 0
3 years ago
For what absolute value of the phase angle does a source deliver 71 % of the maximum possible power to an RLC circuit
kherson [118]

Answer: the absolute value of the phase angle is 28°

Explanation:

taking a look at expression for the instantaneous electric power in an AC circuit;

P = VI -------let this be equation 1

p is power, v is voltage and I is current;

for maximum power

P_max = V_rms × I_rms --------let this be equ 2

where P_max is the maximum power, V_rms is the rms value of voltage and I_rms is the rms value of current.

Also for average electric power in an AC circuit

P_avg = V_rms × I_rms × cos²∅ -------let this be equ 3

where P_avg is the average power and cos∅ is the power factor

now from equation 2;  P_max = V_rms × I_rms

so p_max replaces V_rms × I_rms in equation 3

we now have

P_avg = P_max × cos²∅

so we substitute

expression for the given value of the average power is

P_avg = P_max × 75%

p_avg = P_max.78/100

for the expression of the average electricity in an AC circuit

P_max.78/100 = P_max × cos²∅

78/100 = cos²∅

to get the absolute value of phase angle

∅ = cos⁻¹ ( √(78/100))

∅ =  cos⁻¹ ( 0.8832)

∅ = 27.969 ≈ 28°

Therefore the absolute value of the phase angle is 28°

8 0
3 years ago
Are scientific theories and laws developed in the acquisition of scientific knowledge
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Scientific theories and laws develop from the acquisition of scientific knowledge.

Explanation:

t

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