Question

the mass of the earth is 6 into 10 to the power 24 kg and that of the Moon 7.2 into 10 to the power 22 Kg if the distance between the Earth and Moon be 3.84 into 10 to the power 5 km calculate the force exerted by Earth and Moon

Answer 1

I hope this helps you

Answer 2

$\boxed{\bf Correct \: Question : - }$

$\rm \: The \: mass \: of \: the \: earth \: is \: 6 \times 10 {}^{24} \: kg \: and \: that \\ \rm \: of \: the \: moon \: is \: 7.4 \times 10 {}^{22} \: kg. \: If \: the \: distance \\ \rm \: between \: the \: earth \: and \: the \: moon \: is \: 3.84 \times 10 {}^{5} \\ \rm \: km, \: calculate \: the \: force \: exerted \: by \: the \: earth \\ \rm \: on \: the \: moon. \: g = 6.7 \times 10 {}^{ - 11} \: N \: m {}^{2} \: kg {}^{ - 2} .$

$\boxed{ \bf \: Solution : - }$

$\rm \: The \: mass \: of \: the \: earth, \: M = 6 \times 10 {}^{24} \: kg$

$\rm \: The \: mass \: of \: the \: moon,$

$\: \: \: \: \: \: \: \: \: \: \rm \: m = 7.4 \times 10 {}^{22} \: kg$

$\rm \: The \: distance \: between \: the \: earth \: and \: the \\ \rm moon,$

$\: \: \: \: \: \: \: \rm \: d = 3.84 \times 10 {}^{5} \: km$

$\: \: \: \: \: \: \: \: \: \: \: \: \rm = 3.84 \times 10 {}^{5} \times 1000 \: m$

$\: \: \: \: \: \: \: \: \: \: \: \: \rm = 3.84 \times 10 {}^{8} \: m$

$\: \: \: \: \: \: \: \: \rm \: G = 6.7 \times 10 {}^{ - 11} \: N \: m {}^{2} \: kg {}^{ - 2}$

$\rm \: The \: force \: exerted \: by \: the \: earth \: on \: the \: moon \: is$

$\boxed{ \rm \: \: \: \: \: \dag \: \: \: \: F = \: G \: \: \frac{M \times m}{d {}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

$\rm = \: \frac{6.7 \times 10 {}^{ - 11} \: n \: m {}^{2} \: kg {}^{ - 2} \times 6 \times 10 {}^{24} \: kg \times 7.4 \times 10 {}^{22} \: kg}{(3.84 \times 10 {}^{8} \: m) {}^{2} }$

$\rm \: = \: 2.01 \times 10 {}^{20} \: N.$

$\rm \: Thur, \: the \: force \: exerted \: by \: the \: earth \: on \: the \\ \rm \: moon \: is \: 2.01 \times 10 {}^{20} \: N.$

$\boxed{\tt \pink{ \: I \: hope \: it's \: helps \: you \: : )}}$