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STALIN [3.7K]
3 years ago
13

1) Calculate the torque required to accelerate the Earth in 5 days from rest to its present angular speed about its axis. 2) Cal

culate the energy required. 3) Calculate the average power required.
Physics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

Answer:

a) τ = 4.47746 * 10^25 N-m

b) E = 2.06301 * 10^13 J

c) P = 3.25511*10^21 W

Explanation:

Given that,

The radius of earth r = 6.3781×10^6 m

The angular speed of earth w = 7.27*10^-5 rad/s

The time taken to reach above speed t = 5 yrs = 1.57784760 * 10^8 s

The mass of earth m = 5.972 × 10^24 kg

The inertia of sphere I = 2/5 * m* r^2

Solution:

angular acceleration of the earth from rest to w is given by α:

                               α = w / t

                               α = (7.27*10^-5) / (1.57784760 * 10^8)

                               α = 4.60754*10^-13 rad/s^2

The required torque τ is given by:

                               τ = I*α

                               τ = 2/5 * m* r^2 * α

 τ = 2/5 *(5.972 × 10^24) * (6.3781×10^6)^2 * (4.60754*10^-13)

 τ = 4.47746 * 10^25 N-m

Power required P to turn the earth to the speed w is:

                          P = τ*w

                          P = (4.47746 * 10^25)*(7.27*10^-5)

                          P = 3.25511*10^21 W

Energy E required is :

                          E = P / t

                          E = (3.25511*10^21) / (1.57784760 * 10^8)

                          E = 2.06301 * 10^13 J

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When dissolved in water, a strong acid
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Answer:

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Explanation:

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3 years ago
Which statement describes a way electromagnetic waves are different from mechanical waves?
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a. Wrong. EM waves can travel through matter OR vacuum.

b. True, but so can mechanical waves.

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7 0
3 years ago
A fisherman and his young son are in a boat on a small pond. Both are wearing life jackets. The son is holding a large helium fi
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Based on the weight of the objects in the water, the water level in the given scenario is as follows;

  • unchanged
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  • unchanged
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<h3>What changes will be observed in each of the given scenario?</h3>

The rise or fall of a fluid when an object is placed in it is determined by the density, mass, and volume of the object.

According to Archimedes' principle, the upthrust or upward force acting on a body fully or partially  immersed in a fluid, is equal to the weight of the fluid displaced.

Considering the given situations:

  1. The son pops the helium balloon - water level is unchanged because the weight of the balloon is negligible.
  2. Fisherman knocks the tackle box overboard and it sinks to the bottom - water level will rise since the tackle box has significant weight
  3. Son finds a cup and bails some water out of the bottom of the boat - water level will fall since some volume of water is being removed and added to the boat.
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In conclusion, the rise in water level depends on the weight of the objects.

Learn more about upthrust at: brainly.com/question/20432193

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7 0
1 year ago
Your friend's Frisbee has become stuck 19 m above the ground in a tree. You want to dislodge the Frisbee by throwing a rock at i
Mama L [17]

Answer:

18.36 m/s

Explanation:

We can solve this using conservation of energy. The energy in the system will be conserved since there are no outside forces acting upon it so the potential energy and kinetic energy will be equal. Giving us this formula to start:

1/2mv^2=mgh

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g=gravity

h=height

v=velocity

We can start by figuring out the total height the rock travels which we can do by subtracting the height of the frisbee by the height the rock started at.

19m-1.8m=17.2m

Now we can plug in our variables to solve for velocity.

First we negate mass since its on both sides and cancels out leaving us with.

1/2v^2=gh

Plug in.

1/2v^2=(9.8)(17.2)

1/2v^2=168.56

v^2=337.12

v=18.36m/s

3 0
2 years ago
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