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nalin [4]
3 years ago
13

A 400 kg satellite is in a circular orbit at an altitude of 500 km above the Earth's surface. Because of air friction, the satel

lite eventually falls to the Earth's surface, where it hits the ground with a speed of 1.60 km/s. How much energy was transformed into internal energy by means of air friction
Physics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

E = 1.45 x 10⁹ J = 1.45 GJ

Explanation:

According to the law of conservation of energy:

Potential Energy Lost by Satellite = Kinetic Energy + Internal Energy

mgh = \frac{1}{2} mv^2 + E\\\\E = mgh - \frac{1}{2} mv^2

where,

E = Internal Energy = ?

m = mass = 400 kg

g = acceleration due to gravity = 9.81 m/s²

h = height = 500 km = 500000 m

v = speed on ground = 1.6 km/s = 1600 m/s

Therefore,

E = (400\ kg)(9.81\ m/s^2)(500000\ m)-\frac{1}{2} (400\ kg)(1600\ m/s)^2\\E = 1.962\ x\ 10^9\ J - 0.512\ x\ 10^9\ J

<u>E = 1.45 x 10⁹ J = 1.45 GJ</u>

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A small steel wire of diameter 1.0 mm is connected to an oscillator and is under a tension of 7.5 N. The frequency of the oscill
avanturin [10]

Answer:

a

The output power is P= 0.764Watt

b

The Amplitude would decrease by \frac{1}{2}

Explanation:

From the question we are told that

    The diameter of the steel wire is = 1.0mm= \frac{1}{1000}  = 1.0*10^{-3}m

    The raduis of this steel wire is r = \frac{1*10^{-3}}{2} = 0.5*10^{-3}m

Now from the question we can deduce that the power output is equal to the power being transmitted by wave on the wire  this is mathematically represented as

                   P = \frac{1}{2} \mu w^2 A^2 v ----(1)

Where \mu is the mass per unit length of the wire

   This is mathematically evaluated as

                      \mu = a* \rho

Where a is the area of the the wire = \pi r^2 = (3.142 * 0.5*10^{-3})^2 =7.855*10^{-7}m^2

         \rho is the density of steel with a generally value of 7850 kg/m^3

  So  

        \mu = 7.855*10^{-7} *7850

           = 6.162*10^{-3}kg/m

          w is velocity of the wave

   This is mathematically evaluated as    

                   w=2 \pi f

substituting  60Hz for f

  We have    

                   w = 2 *3.142 * 60

                      =377.04 \ rad/s

      A is the amplitude with a given value of 0.50 cm = \frac{0.50}{100} = 0.50 *10^{-2}m

          v  is the linear velocity of the wave

  This is mathematically evaluated as    

                  v = \sqrt{\frac{T}{\mu} }

Where T is the tension with a given value of 7.5N

                v = \sqrt{\frac{7.5}{6.162*10^{-3}} }

                  =34.89 m/s

Substituting values into equation 1

       P = 6.162*10^{-3}* 377.04^2 * (0.5*10^{-2})^2 * 34.89

           P= 0.764Watt

Since the doubling of the frequency does not affect the amplitude and  from  equation one the output power  is  \ \frac{1}{2} of the Amplitude, Then the Amplitude would decrease by \frac{1}{2}

4 0
3 years ago
What are 3 different forces that act on objects on the earth ΩvΩ
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A force is a push or pull acting upon an object as a result of its interaction with another object. There are a variety of types of forces. a variety of force types were placed into two broad category headings on the basis of whether the force resulted from the contact or non-contact of the two interacting objects.

Contact Forces

Action-at-a-Distance Forces

Frictional Force
Gravitational Force
Tensional Force
Electrical Force
Normal Force
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These are types of individual forces



Applied Force
Gravitational Force
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6 0
4 years ago
Show explicitly that ▽ . B-0 near a long straight wire carrying a current I. HINT: you may use Cartesian coordinates, but anothe
aivan3 [116]

Answer:

\bigtriangledown.B=0 is proved.

Explanation:

The magnetic field in the long current carrying wire is,

B=\frac{\mu_{0}I }{2\pi r } \phi

Here, I is the current, B is the magnetic field.

Now, by using cylindrical coordinates for the divergence of B.

\bigtriangledown.B=\frac{1}{s} \frac{d}{d\phi} B

Put the value of B in above equation.

\bigtriangledown.B=\frac{1}{s} \frac{d}{d\phi}(\frac{\mu_{0}I }{2\pi r } \phi)\\\bigtriangledown.B=0

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Two boxes need to be moved into storage. Jamal and Jude each want to move a box. The force of gravity on both the boxes is 50 N.
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Answer:

Explanation:

Remark

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On the other hand Jamel is putting enough force to not only lift the box but it will move upwards against gravity. If we ignore that fact, then Jamel will get his box into storage.

Answer: A

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2 years ago
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VikaD [51]

Answer:  (A) At terminal velocity ...

Explanation:

4 0
3 years ago
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