the mass of the earth is 6×10 to the power of 24 kg and that of the other planet 10.2×10 to the power of 23 kg. If the distance between earth and the planet is 5×10 to the power of 5 km. Calculate the force exerted by the earth on the planet.
Answers
GIVEN DATA :
- Mass of the earth ( M ) = 6 * 10^( 24 ) kg.
- Mass of the other planet ( m ) = 10.2 * 10^( 23 ) kg.
- The distance between earth and the planet ( r ) = 5 * 10^( 5 ) km.
TO FIND : The force exerted by the earth on the planet ?
SOLUTION : Now, according to question, we need to find the force exerted by the earth on the planet.
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 the earth
- m = Mass of other planet
- r = The distance between earth and the planet.
Now, by formula,
→ F = {G * M * m } / r²
→ F = { 6.673 * 10^( - 11 ) * 6 * 10^( 24 ) * 10.2 * 10^( 23 ) } / { 5 * 10^( 5 ) }²
→ F = { 6.673 * 10^( - 11 ) * 6.12 * 10^( 48 ) } / { 2.5 * 10^( 11 ) }
→ F = { 4.083876 * 10^(38 ) } / { 2.5 * 10^( 11 ) }
→ F = 1.6335504 * 10^( 27 ) N
ANSWER : Hence, the force exerted by the earth on the planet is 1.6335504 * 10^( 27 ) N.
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