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Ad libitum [116K]
3 years ago
13

The asteroid Ceres has a mass 6.797 × 1020 kg and a radius of 472.9 km. What is g on the surface? The value of the universal gra

vitational constant is 6.67259 × 10−11 N · m2 /kg2 . Answer in units of m/s 2 .
Physics
1 answer:
raketka [301]3 years ago
8 0

Answer:

g=0.20\ m/s^2    

Explanation:

It is given that,

Mass of the asteroid Ceres, m=6.797\times 10^{20}\ kg

Radius of the asteroid, r=472.9\ km=472.9\times 10^3\ m

The value of universal gravitational constant, G=6.67259\times 10^{-11}\ N.m^2/kg^2

We know that the expression for the acceleration due to gravity is given by :

g=\dfrac{Gm}{r^2}

g=\dfrac{6.67259\times 10^{-11}\times 6.797\times 10^{20}}{(472.9\times 10^3)^2}

g=0.20\ m/s^2

So, the value of acceleration due to gravity on that planet is 0.20\ m/s^2. Hence, this is the required solution.

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an electron is released from rest in a region of space with a nonzero electric field.1. As the electron moves, does the electric
zvonat [6]

Answer:

1. a. increase

2. Because the electron has a negative charge its electric potential energy does not decrease as one might expect, but increases instead.

Explanation:

Lets first consider the relation between the electric field and electric potential.

E = -ΔV/Δs

As this equation indicates that the electric field is due to the change in potential and change in the the position of charge. Electric field is directed towards the decreasing potential and the electron moves in the opposite direction of the electric field  where potential increases. Thats why the best explanation is that the electron has a negative charge it moves towards the positive region where the electric potential energy increases.

5 0
3 years ago
A cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The tank originally contains 0.1
Shkiper50 [21]

Answer:

0.10013 atm

Explanation:

Applying Boyle's Law,

P'V' = PV................... Equation 1

Where P' = Initial pressure of air, V' = Initial volume of air, P = Final pressure of air, V = Final volume of air.

make P the subject of the equation

P = P'V'/V..................... Equation 2

Given: P' = 0.355 atm, V'  0.110 m³, V = 0.390 m³

Substitute into equation 2

P = 0.355(0.11)/0.39

P = 0.10013 atm.

5 0
3 years ago
During spring tide, the sun and moon are aligned. Which statement below best describes the tidal range during a spring tide?
e-lub [12.9K]

Answer:

Explanation:

A ) The smallest tidal ranges are less than 1 m (3 feet). The highest tides, called spring tides, are formed when the earth, sun and moon are lined up in a row. This happens every two weeks during a new moon or full moon. Smaller tides, called neap tides, are formed when the earth, sun and moon form a right angle.

C ) The most extreme tidal range occurs during spring tides, when the gravitational forces of both the Moon and Sun are aligned (syzygy), reinforcing each other in the same direction (new moon) or in opposite directions (full moon).

4 0
3 years ago
Read 2 more answers
Using an unmanned rocket to visit the space station requires 85.2 trillion BTU of energy. The best fuel for the mission will hav
Illusion [34]
We shall convert all of the densities to lbs/gal, so the product of
BTU/lbs and lbs/gal gives us the basis of comparison, which was "ratio of energy to volume".
grams / ml x 1 lbs/454 grams → 1 lbs/ 454 ml
1 lbs/454 ml x 3785.41 ml/gal → 3785.41 lbs/454gal
Conversion of g/ml = 8.34 lbs/gal
Looking at each fuel:

Kerosene:
18,500 x (8.34 x 0.82) = 126,517 BTU/gal

Gasoline:
20,900 x (8.34 x 0.737) = 128,463 BTU/gal

Ethanol:
11,500 x (8.34 x 0.789) = 75,673 BTU/gal

Hydrogen:
61,000 x (8.34 x 0.071) = 36,120 BTU/gal

The best fuel in terms of energy to volume ratio is Gasoline.
Gallons required:
BTU needed / BTU per gallon
= 85.2 x 10⁹ / 128,463
= 6.6 x 10⁵ gallons
5 0
3 years ago
Scenario 2: A dam was built California in 1999 to block the Santa Ana River and help generate
8_murik_8 [283]

Answer:

Some of the effects of a dam on the environment includes;

1) Increase in the amount of the greenhouse gases

2) Removal of the natural wetland and ocean carbon sinks

3) Disruption of the sources of nutrients in the ecosystem

4) Destruction of habitats

5) Raising of the sea levels and waste waters

6) Displace villages and communities

7) Dams have a potential to create flood risk

8) Dams lead to increased water loss due to evaporation and transpiration

9) Dams causes earthquakes

Explanation:

Dams are a source of renewable energy and are a means to prevent floods, however, dams can also have detrimental impact on the climate and the environment.

4 0
3 years ago
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