1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vera_Pavlovna [14]
3 years ago
11

The Earth's radius is 6378.1 kilometers. A mad scientist has come up with the simultaneously awesome and terrifying plan to incr

ease the speed of the Earth's rotation until people at the Earth's equator experience a centripetal (radial) acceleration with a magnitude equal to g (9.81 m/s2 ), eectively making them experience weightlessness. If the mad scientist succeeds in their dastardly plan, what would be the new period of the Earth's rotation?
Physics
2 answers:
ruslelena [56]3 years ago
7 0

Answer: T = 5068 s

Explanation:

Given

Radius of the earth, r = 6378.1 km

Centripetal acceleration, g = 9.81 m/s²

Period of rotation, T = ?

a = w²r, where

a is the centripetal acceleration

w is the angular velocity

r is the radius

9.81 = w² * 6378.1*10^3

w² = 9.81 / 6378.1*10^3

w² = 1.538*10^-6

w = 1.24*10^-3 rad/s

To get the period of the earth, we use the formula

w = 2π / T, so that

T = 2π / w

T = (2 * 3.142) / 1.24*10^-3

T = 6.284 / 1.24*10^-3

T = 5067.74 s

Therefore, the earth would rotate at a period of 5068 s or 1 hour and 24 minutes

NemiM [27]3 years ago
5 0

Answer:

The time period of Earth’s rotation would be 84.4 minutes

Explanation:

Given that,

Centripetal acceleration = 9.81 m/s²

Radius ,r = 6378.1 km

Velocity, v

Centripetal acceleration is

a_c=\dfrac{v^2}{r}

a_c=\dfrac{v^2}{r}\\\\\Rightarrow v=\sqrt{a_cr}\\\\\Rightarrow v=\sqrt{9.81\times 6378100}\\\\\Rightarrow v=7910.067\ m/s

Time period is given by

T=\dfrac{2\times \pi \times r}{v\times 60}\\\\ T=\dfrac{2\times \pi \times 6378.1\times 10^3}{7910.06706\times 60}\\\\ T=84.4\ minutes

Hence, the time period of Earth’s rotation would be 84.4 minutes

You might be interested in
Explain why a Chef in a very busy restaurant would prefer a copper pot over an aluminum pot. A) The copper pot would heat faster
stellarik [79]
A would be the answer 
5 0
3 years ago
Read 2 more answers
3. According to Hund's rule, what's the expected magnetic behavior of vanadium (V)?
ivanzaharov [21]

Answer:

Diamagnetic

Explanation:

Hunds rule states that electrons occupy each orbital singly first before pairing takes place in degenerate orbitals. This implies that the most stable arrangement of electrons in an orbital is one in which there is the greatest number of parallel spins(unpaired electrons).

For vanadium V ion, there are 18 electrons which will be arranged as follows;

1s2 2s2 2p6 3s2 3p6.

All the electrons present are spin paired hence the ion is expected to be diamagnetic.

6 0
3 years ago
An obiect of mass weighing 5,24 k acceleration due to gravity is 9 8 meters/second2 is raised to a height of 1.63 meters. What i
Julli [10]
83.79 J (using significant digits)
7 0
3 years ago
A bag of sugar weighs 5.00 lb on Earth. What would it weigh in newtons on the Moon, where the free-fall acceleration is one-sixt
gizmo_the_mogwai [7]

Answer:

Earth: 22.246 N

Moon: 3.71 N

Jupiter: 58.72 N

Explanation:

The mass of an object will remain constant in any location, its weight however, can fluctuate depending on its location. For example, a golf ball will weigh less on the moon, but its mass will not be different if it was on earth.

To calculate anything, we need to convert to standard measurements.

5.00 lbs = 2.27 kg

On earth, gravity is measured to be 9.8 m/s², so the weight in Newtons on Earth would be: (2.27 kg) x (9.8 m/s²) = 22.246 N

Repeated on the moon where gravity is (9.8 m/s²) x (1/6) = 1.633 m/s², so the weight in Newtons on the moon would be: (2.27 kg) x (1.633 m/s²) = 3.71 N

Repeated on Jupiter where gravity is (9.8 m/s²) x (2.64) = 25.87 m/s², so the wight in Newtons on Jupiter would be: (2.27 kg) x (25.87 m/s²) = 58.72 N

3 0
3 years ago
Estimate the volume of a piece of molecular cloud that has the same amount of water as your body.
noname [10]

Question:

The water molecules now in your body were once part of a molecular cloud. Only about onemillionth of the mass of a molecular cloud is in the form of water molecules, and the mass density of such a cloud is roughly 2.0×10−21 g/cm^3.

Estimate the volume of a piece of molecular cloud that has the same amount of water as your body.

Answer:

The volume of cloud that has the same density as the amount of water in our body is 1.4×10²⁵ cm³

Explanation:

Here, we have mass density of cloud  =  2.0×10⁻²¹ g/cm^3

Density = Mass/Volume

Volume = Mass/Density =   If the mass is 40 kg and the body is made up of 70% by mass of water, we have

28 kg water = 28000 g

Therefore the Volume = 28 kg/ 2.0×10⁻²¹ g/cm^3 = 1.4×10¹⁹ m³ = 1.4×10²⁵ cm³.

Therefore, the volume of cloud that has the same density as the amount of water in our body = 1.4×10²⁵ cm³.

6 0
3 years ago
Other questions:
  • A sailboat of mass m is moving with a momentum p. how would you represent its kinetic energy in terms of these two quantities?
    13·1 answer
  • A block is placed on a frictionless ramp at a height of 11.5 m above the ground. Starting from rest, the block slides down the r
    15·1 answer
  • Relate RNA to translation and transcription
    14·1 answer
  • "A positively-charged particle is held at point A between two parallel metal plates. The plate on the left has a net positive ch
    7·1 answer
  • Who discovered the law of universal gravitation?
    12·1 answer
  • Please help me
    12·1 answer
  • Does hot water or cold water boil faster is that repeated observations using models are controlled experiments
    14·1 answer
  • 1. The nearest distance of distinct vision of
    13·1 answer
  • A string with a mass density of 3 * 10^-3 kg/m is under a tension of 380 N and is fixed at both ends. One of its resonance frequ
    7·1 answer
  • A rectangular block has the density of 350g/cm3 the dimensions are 3.5 6.cm 2.5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!