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equation for total acceleration (ta) between two objects:

ta = (G*(m1+m2))/d^2

G= 6.67*10^-11

m1= mass , object 1

m2= mass , object 2

d = distance

the acceleration is shared, in ratio proportional to masses, example:

if mass 1 = 100 kg and mass 2 = 10 kg then total = 110 kg

a(mass 1) = ta * 100/110

a(mass 2) = ta * 10/110

the greater mass causes the greater acceleration in the other object

(adding the following)

above should read:

a(mass 1) = ta * 10/110

a(mass 2) = ta * 100/110

if the distance is say 0.5 metres, the the total acceleration is 2.936*10^-8

then the acceleration on the 10 kg mass = 2.669 * 10^-8 (m/s)/s

so f= ma

so f =2.669 * 10^-7 newtons

then the acceleration on the 100kg mass = 0.2669 * 10^-8 (m/s)/s

so f= m*a

so f = 2.669 * 10^-7 newtons

there's a quicker way of doing the whole thing:

use f= (G * m1 * m2)/ d^2

same masses and distance

f = 2.669 * 10^-7 newtons

sorry about that

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12y ago
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12y ago

use f = (G*m1*m2) / d^2 , here's an example.

key:

G = newtons gravitational constant = 6.672 *10^-11 (m^3/kg^-1/s^-2)

m1 = earth mass = 5.974 * 10^24 kg

m2 = spacecraft mass = 1450 kg

d = distance between cog's = 25 484 000 metres (4 * earth radius)

then f = 890 newtons

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11y ago

The strength of the forces in both directions between an object and the Earth is

the weight of the object on Earth, and the weight of the Earth on the object.

(They're equal.)

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11y ago

Weight is the measure of the force of gravity acting on an object. The formula is W = mg, where W is weight, mis mass in kg, and g is acceleration due to gravity, 9.8m/s2 on the earth.

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12y ago

It is measured in units called Newtons (N). 1 N = the force of Earth's gravity on a mass of about 102g.

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10y ago

That is also called the object's weight.

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14y ago

measure pf the force of gravity acting on an object?

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14y ago

Weight!!!!

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Q: What is measure of the force of gravity acting on an object?
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