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lesantik [10]
3 years ago
7

In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.10×10^16 kg and a r

adius of 9.90 km . Part A
What is the speed of a satellite orbiting 5.80 km above the surface?
Express your answer with the appropriate units
Part B
What is the escape speed from the asteroid?
Express your answer with the appropriate units.
Physics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

a) v =6.84 m/s

b) Vesc =  9.67 m/s

Explanation:

let v be the orbital speed of the satelite, Vesc be the escape speed from the asteroid, Fg be the force of gravity and Fc be the centripetal force.

a) At each point in the orbit :

Fc = Fg

m×v^2/r = GmM/(r^2)

r is the same and m is the same:

v^2 = GM/r

      = [(6.67408×10^-11)×(1.10×10^16)]/(9.90×10^3 + 5.80×10^3)

      = 46.76

where v = \sqrt{46.76 } = 6.8 m/s

therefore, the orbital speed of the satelite is 6.8 m/s.

b) the escape velocity is given by :

Vesc = \sqrt{2×G×M/r }

         = \sqrt{2×(6.67408×10^-11)×(1.10×10^16)/(9.90×10^3 + 5.80×10^3) }

         = 9.67 m/s.

therefore, for an object to escape the gravitationsl effects of the asteroid and escape it's atmosphere it will have to be moving with a speed of 9.67 m/s.

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Sauron [17]

Answer:

(a) 45 micro coulomb

(b) 6 micro Coulomb

Explanation:

C = 3 micro Farad = 3 x 10^-6 Farad

V = 15 V

(a) q = C x V

where, q be the charge.

q = 3 x 10^-6 x 15 = 45 x 10^-6 C = 45 micro coulomb

(b)

V = 2 V, C = 3 micro Farad = 3 x 10^-6 Farad

q = C x V

where, q be the charge.

q = 3 x 10^-6 x 2 = 6 x 10^-6 C = 6 micro coulomb

6 0
3 years ago
!!!!!!ASAP!!!!!!!
elena-s [515]
Answer
18,000

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8 0
2 years ago
If a nearsighted person has a far point df that is 3.50m from the eye, what is the focal length f1 of the contact lenses that th
olga55 [171]

Answer:

f1= -350cm or -3.5m

f2= 22.1cm or 0.221m

Explanation:

A person is nearsighted when the person's far point is less than infinity. A diverging lens is normally used to correct this eye defect. A diverging lens has a negative focal length as seen in the solution attached.

Farsightedness is when a person's near point is farther than 25cm. This eye defect is corrected using a converging lens. The focal length of a converging lens is positive. This is evident in the solution attached. The near point is also referred to as the least distance of distinct vision.

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3 years ago
What type of reproduction does slime mold have?<br> (I need the answer right now)<br> thanks:)
notka56 [123]

The slime mold will create a stalk with new spores in it, called a "fruiting body". These spores will make new patches of slime mold. This is a form of asexual reproduction.

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4 years ago
The sampling rate of an ADC is 8.1 kHz. What will be an appropriate cut-off frequency (break frequency) for the anti-aliasing fi
KiRa [710]

Answer:

4000 Hz

Explanation:

An anti-alias filter is usually added in front of the ADC to limit a certain range of input frequencies in order to avoid aliasing. This filter is usually a low pass filter that passes low frequencies but attenuates the high frequencies.

The Nyquist sampling criteria states that the sampling rate should be at least twice the maximum frequency component of the desired signal.

Sampling rate = 2(max input frequency)

From the relation we can find out the cut-off frequency for the anti-aliasing filter.

max input frequency = sampling rate/2

max input frequency = 8100/2 = 4050 Hz

Therefore, 4000 Hz would be an appropriate cut-off frequency for the anti-aliasing filter.

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3 years ago
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