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adoni [48]
3 years ago
15

In 1996, NASA performed an experiment called the Tethered Satellite experiment. In this experiment a 4.67 x 104-m length of wire

was let out by the space shuttle Atlantis to generate a motional emf. The shuttle had an orbital speed of 8.55 x 103 m/s, and the magnitude of the earth's magnetic field at the location of the wire was 5.55 x 10-5 T. If the wire had moved perpendicular to the earth's magnetic field, what would have been the motional emf generated between the ends of the wire
Physics
1 answer:
Julli [10]3 years ago
8 0

Answer:

The formula for induced EMF is ε = BLv

The B is the magnetic field of the earth. I will solve this problem with a value of 1 X 10-4 T for the accepted value of the earths magnetic field. However, with that said, your book may use a different value. If that is the case, this answer will be wrong, but the formula works. All you will need to to is find the value for the earth's magnetic field that your book wants you to use, and substitute for 1 X 10-4 T.

ε = BLv

ε = (1 X 10-4)(1.8 X 104)(7.8 X 103) = 14040 V

Again, if your book does not like this answer, use this equation

ε = (B)(1.8 X 104)(7.8 X 103) and just plug in a different value for B found in your text

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Problem 28.3 Suppose that you are planning a trip in which a spacecraZ is to travel at a constant velocity for exactly six month
iragen [17]

Answer:

v = 0.999981c m/s

Explanation:

Using the time dilation equation

T = \frac{T_{0} }{\sqrt{1 - \frac{v^{2} }{c^{2} } } }

T = stationary time = 100 years

T₀ = 11/12 years = 0.917 years

v = speed of travel in the space = ?

c = speed of light = 3 * 10⁸ m/s

100 = \frac{0.917 }{\sqrt{1 - \frac{v^{2} }{(3*10^{8} )^{2} } } }\\

(0.917/100) ^{2} = 1 - \frac{v^{2} }{ 9 * 10^{16} }

v = 299987395.57 m/s

v = 2.99 * 10⁸ m/s

v = 0.999981c m/s

3 0
3 years ago
A car is traveling at a constant speed of 20 m/s for 3 seconds. Then the driver puts on the brakes. The total distance the car t
yarga [219]

Answer:

15 seconds

Explanation:

If car was moving at 20m/s for 3 sec.

if car traveled 100m = 15 sec total

3 0
3 years ago
A sandbag motionless in outer space is hit by a three-times-as massive sandbag moving at 12 m/s. They stick together. This is an
vekshin1

Answer:

This is an example of inelastic collision and it loses zero(0) % of initial kinetic energy

Explanation:

Let the mass of the motionless sandbag = m₁

Let the mass of the moving sandbag = m₂ = 3m₁

initial velocity of the motionless sandbag, u₁ = 0

initial velocity of the moving sandbag, u₂ = 12 m/s

Let their final velocity, = v

Collision between two particles can either be elastic or inelastic.

Since they stick together after the impact, then the collision is inelastic

Apply the principle of conservation of linear momentum;

Initial kinetic energy = final kinetic energy

¹/₂m₁u₁² + ¹/₂m₂u₂² = ¹/₂v²(m₁ + m₂)

¹/₂m₁(0)² + ¹/₂(3m₁)(12)² = ¹/₂v²(m₁+3m₁)

216m₁ = 2m₁ v²

v² = 108

v = √108

v = 10.392 m/s

Change in kinetic energy = Final kinetic energy - initial kinetic energy

Initial Kinetic energy, KE₁ = ¹/₂m₁u₁² + ¹/₂m₂u₂²

                                   KE₁ = ¹/₂m₁(0)² + ¹/₂(3m₁)(12)²

                                   KE₁ = 216m₁ J

Final kinetic energy, KE₂ = ¹/₂v²(m₁ + m₂)

                                  KE₂ = ¹/₂(108)(m₁ + 3m₁)

                                  KE₂ = 216m₁ J

ΔKE = KE₂ - KE₁ =  216m₁ J -  216m₁ J = 0%

Therefore, this is an example of inelastic collision and it loses zero(0) % of initial kinetic energy

4 0
3 years ago
The Global Positioning System (GPS) is a constellation of about 24 artificial satellites. The GPS satellites are uniformly distr
Liono4ka [1.6K]

Answer:

b) 3.72m/s²

c) 9.33*10^5

d) 9.33*10^5

e) 11.85 hrs

Explanation:

a) to confirm that gEarth is about 98 m/s².

Let's use the formula:

gEarth= \frac{G*M}{R^2}

= \frac{6.67*10^-^1^1*5.972*10^2^4}{(6378*10^3)^2}

= 9.78 m/s²

=> 9.8m/s²

b) Given:

m = 6.417*10^2^3

r = 2106 miles

g_Mars = \frac{G*M}{R^2}

= \frac{6.67*10^-^1^1*6.417*10^2^3}{(2106*1.61*10^3)^2}

=3.72 m/s²

c) we use:

F = \frac{G*M*m}{R^2}

=\frac{6.67*10^-^1^1*5.972*10^2^4*1630*10^3}{((20000+6378)*10^3)^2}

= 9.33*10^5 N

d) Let's take the force of gravitybon earth due to satellite as our answer in (c) because the Earth's gravitational force on a GPS satellite and the force of gravity on a GPS satellite on earth are equal and opposite (two mutual forces).

F = 9.33*10^5 N

e) In a circular motion,

Gravitional force = Centripetal force.

\frac{GM*m}{R^2}=\frac{m*v^2}{R}

\frac{GM}{R}= v^2

Solving for v, we have

v= \sqrt{\frac{6*67*10^-^1^1*5.972*10^2^4}{(20000+6278)*10^3}}

v = 3886m/s

Therefore,

v = 2πR/T

3886 = \frac{2*pi*(20000+6378)*10^3}{T}

Solving for T, we have:

T = 42650seconds

Convert T to hours

T = 42650/60*60

T = 11.86hrs

6 0
4 years ago
An object initially at rest experiences an acceleration of 9.8 m/s2 how much time will it take it to achieve a velocity of 58 m/
Ber [7]

Answer:

The time required by object to achieve velocity 58 m/s is 5.918 second.

Given:

acceleration = 9.8 \frac{m}{s^{2} }

Initial velocity = 0 m/s

final velocity = 58 m/s

To find:

Time required by object = ?

Formula used:

According to first equation of motion is given by,

v = u + at

Where, v = final velocity

u = initial velocity = 0 (Given The particle is at rest initially)

a = acceleration

t = time

Solution:

According to first equation of motion is given by,

v = u + at

Where, v = final velocity

u = initial velocity = 0 (Given The particle is at rest initially)

a = acceleration

t = time

58 = 0 + 9.8 (t)

t = \frac{58}{9.8}

t = 5.918 s

The time required by object to achieve velocity 58 m/s is 5.918 second.



8 0
4 years ago
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