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ANTONII [103]
3 years ago
12

In a balloon adventure, you reach 10 km in height. Find the percentage variation in the weight of the balloon-crew system with r

espect to sea level.
Physics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

0.31%

Explanation:

The acceleration due to gravity at sea level is:

g = GM / R²

where G is the gravitational constant, M is the mass of Earth, and R is the radius of the Earth.

The acceleration due to gravity a height h above sea level is:

g' = GM / (R+h)²

The percent variation is:

(g − g') / g

= 1 − g'/g

= 1 − [GM / (R+h)²] / [GM / R²]

= 1 − R² / (R+h)²

= 1 − (R / (R+h))²

The average radius of the Earth is 6370 km.  The height of the balloon is 10 km.

1 − (6370 / (6370 + 10))²

0.0031

0.31%

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A series RLC circuit with L = 12 mH, C = 3.5 mu or micro FF, and R = 3.3 ohm is driven by a generator with a maximum emf of 115
Elan Coil [88]

Explanation:

Given data

Inductance L=12*10^-³H

Capacitance C= 3.5*10^-6F

Resistance R= 3.3 Ohms

Voltage V=115v

Capacitive reactance Xc=?

inductive reactance Xl=?

Impedance Z=?

Phase angle =?

A. Resonance frequency

In RLC circuit resonance occurs when capacitive reactance equals inductive reactance

f=1/2pi √ LC

f=1/2*3.142 √ 12*10^-³*3.5*10^-6

f=1/6.284*0.0002

f=1/0.00125

f=800HZ

B. Find Irms at resonance.

Irms=R/V

Irms=3.3/115

Irms=0.028amp

Find the capacitive reactance XC in Ohms

Xc=1/2pi*f*C

Xc=1/2*3.142*800*3.5*10^-6

Xc=1/0.0176

Xc=56.8 ohms

To find the inductive reactance

Xl=2pifL

Xl=2*3.142*800*12*10^-3

Xl=60.3ohms

d) Find the impedance Z.

Z=√R²+(Xl-Xc)²

Z=√3.3²+(60.3-56.8)²

Z=√10.89+12.25

Z=√23.14

Z=4.8ohms

Phase angle =

Tan phi=Xc/R=56.8/3.3

Tan phi=17.2

Phi=tan-1 17.2

Phi= 1.51°

6 0
3 years ago
Which of the following does Bernoulli's principle help to explain?
Anon25 [30]
I would say B surface tension
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An electromagnetic wave of intensity 150 W/m2 is incident normally on a rectangular black card with sides of 25 cm and 30 cm tha
LenKa [72]

Answer:

3.75 × 10⁻⁸ N

Explanation:

Given:

Intensity of the electromagnetic wave, I = 150 W/m²

Sides of the board = 25 cm (= 0.25 m) and 30 cm (= 0.30 m)

therefore,

the area of the rectangular box, A = 0.25 × 0.30 = 0.075 m²

Now,

force exerted on the card by the radiation, F = \frac{IA}{C}

here,

C is the speed of the light = 3 × 10⁸ m/s

on substituting the respective values, we get

F = \frac{150\times0.075}{3\times10^8}

or

F = 3.75 × 10⁻⁸ N

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3 years ago
A train travels 77 kilometers in 4 hours, and then 76 kilometers in 2 hours. What is its average speed?
Masja [62]

( (77/4) + 76/2 )/2 = 28.625 km/h is what i got

4 0
3 years ago
Does Ap Physics have anything to do with probablity?
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So I'm a junior. I am currently taking AP Calc BC and AP Physics B.

As of now, I'm not sure if I should take AP Probability and Statistics or Differential Equations/Calc III next year. Also, I'm debating between taking AP Physics C or AP Chemistry.

Which ones do you think would look better on a transcript? I heard that Diffeq/CalcIII is harder than AP ProbStat, but ProbStat is an AP course which will be weighted heavier. Also, should I take Physics C since i've taken Physics B this year already?
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