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777dan777 [17]
3 years ago
6

How much does the gravitational force of attraction change between two asteroids if the two asteroids drift three times closer t

ogether?
Physics
1 answer:
Katen [24]3 years ago
6 0

Answer:

Increase 9 times

Explanation:

We have Newton formula for attraction force between 2 objects with mass and a distance between them:

F_G = G\frac{M_1M_2}{R^2}

where G =6.67408 \times 10^{-11} m^3/kgs^2 is the gravitational constant. M_1, M_2 is the masses of the 2 objects. and R is the distance between them.

Since the force is inversely proportional to the distance squared, if it is reduced by 3 times, the gravitational force between them would increase by 3^2 = 9 times

You might be interested in
A spring with force constant of 59 N/m is compressed by 1.3 cm in a hockey game machine. The compressed spring is used to accele
Furkat [3]

Answer:

The puck moves a vertical height of 2.6 cm before stopping

Explanation:

As the puck is accelerated by the spring, the kinetic energy of the puck equals the elastic potential energy of the spring.

So, 1/2mv² = 1/2kx² where m = mass of puck = 39.2 g = 0.0392 g, v = velocity of puck, k = spring constant = 59 N/m and x = compression of spring = 1.3 cm = 0.013 cm.

Now, since the puck has an initial velocity, v before it slides up the inclined surface, its loss in kinetic energy equals its gain in potential energy before it stops. So

1/2mv² = mgh where h = vertical height puck moves and g = acceleration due to gravity = 9.8 m/s².

Substituting the kinetic energy of the puck for the potential energy of the spring, we have

1/2kx² = mgh

h = kx²/2mg

= 59 N/m × (0.013 m)²/(0.0392 kg × 9.8 m/s²)

= 0.009971 Nm/0.38416 N

= 0.0259 m

= 2.59 cm

≅ 2.6 cm

So the puck moves a vertical height of 2.6 cm before stopping

3 0
3 years ago
Suppose that the speed of yellow visible light in a certain transparent medium is 2.01* 105 km/s. What, approximately, is the in
True [87]

Answer:

1.50

Explanation:

Index of refraction:

n=\frac{c}{v} where n is the refractive index, c is the speed of light in vacuum and v is the speed of light in medium.

The speed of light in vacuum is 3.00 \times 10^5 \text{km/s}

Speed of light in medium is 2.01 \times 10^5 \text{km/s}

Thus,

n=\frac{3.00\times 10^5}{2.01\times 10^5}

n=1.50

Index of refraction of this substance through yellow light is 1.50

4 0
3 years ago
Describe the relationship between the potential energy and kinetic energy of an object and the amount of Kinetic energy it can g
ankoles [38]

Kinetic energy of an object is the energy it contains due to movement. If an object is at rest, it doesn't have kinetic energy. If it's moving, then it has kinetic energy. It's pretty simple! The amount of kinetic energy of an object is dependent upon two variables, one being the mass of the object

4 0
3 years ago
A flash of red light and a flash of blue light enter a glass cube perpendicular to its surface at the same time. after passing t
Wewaii [24]

A flash of red light and a flash of blue light enter a glass cube perpendicular to its surface at the same time. after passing through the block, the red light pulse exits first.

For any medium, other than vacuum, the index of refraction for red light is slightly lower (closer to 1 ) than that for blue light. This means that when light goes from vacuum (or air) into glass, the red light deviates from its original direction less than does the blue light. Also, as the light reemerges from the glass into vacuum (or air), the red light again deviates less than the blue light. If the two surfaces of the glass are parallel to each other, the red and blue rays will emerge traveling parallel to each other, but displaced laterally from one another.

what is refractive index?

The ratio between the speed of light in medium to speed in a vacuum is the refractive index. When light travels in a medium other than the vacuum, the atoms of that medium continually absorb and re-emit the particles of light, slowing down the speed light.

learn more about refractive index from here: brainly.com/question/28203787

#SPJ4

7 0
2 years ago
At a construction site, the site manager notices that a crane takes 20 seconds to lift a 500kg steel beam up to a height of 15 m
posledela
The work done is equal to the change in potential energy which is:
P.E = mgh
P.E = 500 x 9.81 x 15
P.E = 73,575 J

Power = work / time
Power = 73,575 / 20
Power = 3,700 Watts
5 0
4 years ago
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