Question

During a planned man-oeuvre in a space flight, a free-floating astronaut $A$ pushes another free-floating astronaut $B$, the mass of $A$ being greater than that of $B$. Then,

In the above problem, during a push

• A. The acceleration of $A$ is greater than that of $B$
• B. The acceleration of $A$ is less than that of $B$
• C. Neither is accelerated
• D. Their acceleration are equal in magnitude but opposite in direction

Answer 1

The correct option is B The acceleration of $A$ is less than that of $B$

Since in the space there is no gravity so there is no external force.

According to Newton third law

Equal force acts between A and B.

$M_A>M_B$

$F_A=F_B$

$\frac{F_A}{M_A}<\frac{F_B}{M_B}$

$a_A<a_B$