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Tju [1.3M]
2 years ago
6

Two spheres have a gravitational force between

Physics
1 answer:
luda_lava [24]2 years ago
8 0

Answer:

<em>The new force is 2.8125 N</em>

Explanation:

<u>Newton’s Law of Universal Gravitation </u>

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.  

\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}

Where:

m1 = mass of object 1

m2 = mass of object 2

r     = distance between the objects' center of masses

G   = gravitational constant: 6.67\cdot 10^{-11}~Nw*m^2/Kg^2

Suppose two spheres have a gravitational force between them of F = 45 N. Now increase the distance to r'=4r. The new force F' is:

\displaystyle F'=G{\frac {m_{1}m_{2}}{(4r)^{2}}}

\displaystyle F'=G{\frac {m_{1}m_{2}}{16r^{2}}}

\displaystyle F'=\frac{1}{16}\ G{\frac {m_{1}m_{2}}{r^{2}}}

Substituting the original value of the force:

\displaystyle F'=\frac{1}{16}\ 45 N

F' = 2.8125 N

The new force is 2.8125 N

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Note: The first part of the answer is a single sentence. The problem says in a complete sentence, so just in case that you need only one sentence you can take the first part. If you can add in more than a sentence, you can put in more from the second paragraph. 
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The reacting force that is equal to and opposite in the direction to the centripetal force and tends to fling air out of the cen
BARSIC [14]

Answer:

Centrifugal force

Explanation:

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The purpose of the fraud fighter/ black light machine is to:
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3 years ago
Two forces, one four times as large as the other, pull in the same direction on a 10kg mass and impart to it an acceleration of
notsponge [240]

Answer:

The acceleration of the mass is 2 meters per square second.

Explanation:

By Newton's second law, we know that force (F), measured in newtons, is the product of mass (m), measured in kilograms, and net acceleration (a), measured in meters per square second. That is:

F = m\cdot a (1)

The initial force applied in the mass is:

F = (10\,kg)\cdot \left(2.5\,\frac{m}{s^{2}} \right)

F = 25\,N

In addition, we know that force is directly proportional to acceleration. If the smaller force is removed, then the initial force is reduced to \frac{4}{5} of the initial force. The acceleration of the mass is:

\frac{25\,N}{20\,N} = \frac{2.5\,\frac{m}{s^{2}} }{a}

a = 2\,\frac{m}{s^{2}}

The acceleration of the mass is 2 meters per square second.

4 0
3 years ago
Time dilation: A missile moves with speed 6.5-10 m/s with respect to an observer on the ground. How long will it take the missil
tatyana61 [14]

Answer:

The time taken by missile's clock is 4.6\times 10^{6} s

Solution:

As per the question:

Speed of the missile, v_{m = 6.5\times 10^{3}} m/s

Now,

If 'T' be the time of the frame at rest then the dilated time as per the question is given as:

T' = T + 1

Now, using the time dilation eqn:

T' = \frac{T}{\sqrt{1 + (\frac{v_{m}}{c})^{2}}}

\frac{T'}{T} = \frac{1}{\sqrt{1 + (\frac{v_{m}}{c})^{2}}}

\frac{T + 1}{T} = \frac{1}{\sqrt{1 + (\frac{v_{m}}{c})^{2}}}

1 + \frac{1}{T} = \frac{1}{\sqrt{1 + (\frac{v_{m}}{c})^{2}}}

1 + \frac{1}{T} = (1 + (\frac{v_{m}}{c})^{2})^{- \frac{1}{2}}         (1)

Using binomial theorem in the above eqn:

We know that:

(1 + x)^{a} = 1 + ax

Thus eqn (1) becomes:

1 + \frac{1}{T} = 1 - \frac{- 1}{2}.\frac{v_{m}^{2}}{c^{2}}

T = \frac{2c^{2}}{v_{m}^{2}}

Now, putting appropriate values in the above eqn:

T = \frac{2(3\times 10^{8})^{2}}{(6.5\times 10^{3})^{2}}

T = 4.6\times 10^{6} s

4 0
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