calculate the gravitational attraction of two cars 5m apart if the masses of the car are 1000kg and 1200kg respectively
Answers
Answer:
Given : m
1
=80 kg m
2
=1200 kg d=10 m
Force of gravitation F=
d
2
Gm
1
m
2
Or F=
10
2
6.67×10
−11
×80×1200
=6.4×10
−8
N
GIVEN DATA :
- Mass of first car ( m ) = 1000 kg.
- Mass of second car ( m' ) = 1200 kg.
- The distance between first and second car ( r ) = 5 m.
TO FIND : Gravitatinal attraction between two cars.
SOLUTION :
Here, we need to convert, distance between first and second car into kilometre.
→ 5 m = {5/1000 } km
→ 5 m = 5 * 10^( -3 ) km
Now, according to question, we need to find the Gravitatinal attraction between two cars.
Now, we use formula
→ F = {G * m * m' }/r²
where,
- F = Gravitational force between two particles.
- G = Gravitational constant { 6.673 * 10^( - 11 ) N • m²/kg².
- m = Mass of first car
- m' = Mass of second car
- r = The distance between first and second car.
Now, by formula,
→ F = {G * m * m'} / r²
→ F = {6.673 * 10^( - 11 ) * 1000 * 1200} / {5 * 10^( -3 )}²
→ F = {6.673 * 10^( - 11 ) * 12 * 10^( 5 )} / {25 * 10^( - 6 ) }
→ F = {80.076 * 10^( - 6 )} / {25 * 10^( - 6 )}
→ F = 3.20304 N
ANSWER : Hence, gravitational attraction between two cars is 3.20304 N.
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