Question

Which of the following statements regarding the gravitational attraction between man and the earth are correct?
$1$. The man and the earth pull each other with the same force
$2$. The earth pulls the man with more force than the man pulling the earth
$3$. The acceleration of the man due to the earth's pull is more than that of the earth due to the man's pull
$4$. The accelerations of the man and the earth are the same

• A. $2$ and $3$
• B. $1$ and $4$
• C. $1$ and $3$
• D. $2$ and $4$

Answer 1

The correct option is C $1$ and $3$

REF.Image.

$F_{ME}=-F_{EM}$

(force on man due to earth) = -(force on earth due to man)

Newton's third low every

action has equal and opposite reaction

Now $F_{ME}=M_M{a}_M$

$\Rightarrow a_m=\frac{F_{ME}}{M_M}...\left(1\right)$

Similarly $a_E=\frac{F_{ME}}{M_E}...\left(2\right)$

We know that mass of earth $\left(M_E\right)>>$ mass of man $\left(M_m\right)$

Thus,$a_M>>a_E$