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asambeis [7]
3 years ago
5

What is the effect on the force of gravity between two objects if the mass of one object remains unchanged while the distance to

the second object and the second object's mass are both doubled?
Physics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

The force of gravity after you double the mass and the distance is half of the initial force: F_{2}=\frac{1}{2}F_{1}

Explanation:

The initial force of gravity is:

F_{1}=\frac{Gm_{1}m_{2}}{r^2}

where G is the universal gravitational constant, m_{1} is the mass of the first object, m_{2} is the mass of the second object, and r is the distance between the objects.

If the mass of the second object is doubled, now we have 2m_{2}, and if the distance between the objects is also doubled instead of r now we have 2r.

So the force of gravity now is:

F_{2}=\frac{Gm_{1}(2m_{2})}{(2r)^2}\\ F_{2}=\frac{2Gm_{1}m_{2}}{4r^2} \\F_{2}=\frac{1}{2} \frac{Gm_{1}m_{2}}{r^2}

and we know that F_{1}=\frac{Gm_{1}m_{2}}{r^2}

so the new force of gravity is:

F_{2}=\frac{1}{2}F_{1}

The force of gravity after you double the mass and the distance is half of the initial force.

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Answer:

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The tank is at rest. And energy of any substance at rest is known as potential energy.

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2 years ago
Marys airplane trip took 5.8 hours for one-half of that time, the airplane flew at a constant speed of 640 miles per hour and fo
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Distance is speed x time.  Half of the trip is 5.8/2 = 2.9hrs.
640 x 2.9 = 1856mi
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3 years ago
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3 0
3 years ago
Jupiter's semimajor axis is 7.78×1011 m. The mass of the Sun is 1.99×1030 kg. (a) What is the period of Jupiter's orbit in secon
dedylja [7]

Explanation:

It is given that,

Semi major axis of the Jupiter, a=7.78\times 10^{11}\ m

Mass of the sun, M=1.99\times 10^{30}\ kg

(a) Let T is the period of Jupiter's orbit. It is given by :

T^2\propto a^3

T^2=\dfrac{4\pi^2}{GM}a^3

T^2=\dfrac{4\pi^2}{6.67\times 10^{-11}\times 1.99\times 10^{30}}\times (7.78\times 10^{11})^3

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(b) We know that,

1\ year=3.154\times 10^7\ s

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3 years ago
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