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Phantasy [73]
3 years ago
8

. Two astronauts are 1.90 m apart in their spaceship. One speaks to the other. The conversation is transmitted to earth via elec

tromagnetic waves. The time it takes for sound waves to travel at 346 m/s through the air between the astronauts equals the time it takes for the electromagnetic waves to travel to the earth. How far away from the earth is the spaceship
Physics
1 answer:
melomori [17]3 years ago
3 0

Answer:

d= 1650 km.

Explanation:

  • Assuming that sound waves travel along a straight line at a constant speed of 346 m/s, we can find the time needed for the sound to travel the distance of 1.9 m between the astronauts, just applying the definition of average velocity, as follows:

       t = \frac{\Delta x}{v} =\frac{1.9m}{346m/s} = 5.5 msec  (1)

  • The electromagnetic waves travel in free space at the same speed of light in vacuum ( since light is a electromagnetic wave indeed), i.e., 3*10⁸ m/s.
  • Applying the same formula than in (1) we can solve for the distance d, as follows:

       d = v*t = 3e8 m/s*5.5e-3s = 1650 km (2)

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A key lime pie in a 10.00 inch diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the
juin [17]

Answer:

The angular distance in revolution is revolution = 3.439 \ revolution

The angular distance in radians  is \theta_{rad}= 21.6 \ radians

The angular distance in degrees  is   \theta =1238.04^o

The angular size is   Z = \frac{2}{9} \pi \ radians

Explanation:

From the question we are told that  

  The diameter is d = 10 \ inches

   The distance moved by the rim is D = 108 \ inches

Generally the circumference of the pie plate is mathematically represented as

               C = \pi d

Substituting the values  

          C = 10 *3.142

             = 31.42 \  inches

The number resolution carried out by the pie plate is evaluated as

           revolution  = \frac{D}{C}

Substituting value

            revolution  = \frac{108}{31.4}

                              revolution = 3.439 \ revolution

The angular  distance \theta_{rad} is mathematically evaluated as

                \theta_{rad} = \frac{D}{r}

             Where r is the radius which is mathematically evaluated as

                        r = \frac{d}{2} = \frac{10}{2}  = 5 \ inches

Substituting  this into the equation for angular distance

                      \theta_{rad} = \frac{108}{5}

                              \theta_{rad}= 21.6 \ radians

The angular distance traveled in degrees is

                   \theta =  3.439 *360

                      \theta =1238.04^o

When  the pie is cut into 9 equal parts

The angular size would be mathematically evaluated as

                         Z = \frac{2\pi}{9}

                           Z = \frac{2}{9} \pi \ radians

                             

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4 years ago
Three rocks, each of varying mass and volume, are released from a window at the same time. The window is at height h above the g
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Because the objects fall under the same constant acceleration, they will hit the ground at the same speed.

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3 years ago
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I hoped this helped!
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