A body weighs 30kg on earth. Given that the mass of earth is 6*10^29kg, its radious is 6.4*10^6m, G=6.7*10^-11Nm^2kg^-2. What will be:

a. The force of attraction between the body and the earth.

b. Acceleration produced by body.

c. Acceleration produced by earth

$F=\frac{GMm}{{R}^{2}}\phantom{\rule{0ex}{0ex}}\Rightarrow F=\frac{6.7\times {10}^{-11}\times 6\times {10}^{29}\times 30}{{\left(6.4\times {10}^{6}\right)}^{2}}=29.4\times {10}^{6}N$

b. Acceleration produced by the body on the earth,

${a}_{E}=\frac{F}{M}=\frac{6.7\times {10}^{-11}\times 30}{{\left(6.4\times {10}^{6}\right)}^{2}}=4.9\times {10}^{-23}m/{s}^{2}$

c. Acceleration produced by earth on the body,

${a}_{b}=\frac{F}{m}=\frac{6.7\times {10}^{-11}\times 6\times {10}^{29}}{{\left(6.4\times {10}^{6}\right)}^{2}}=9.81\times {10}^{5}m/{s}^{2}$

Note: The mass of the earth is actually $6\times {10}^{24}kg$.

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