Question

Two objects $A$ and $B$ are thrown upward simultaneously with the same speed. The mass of $A$ is greater than the mass of $B$. Suppose the air exerts a constant and equal force of resistance on the two bodies:

• A. The two bodies will reach the same height
• B. $A$ will go higher that $B$
• C. $B$ will go higher than $A$
• D. Any of the above three may happen depending on the speed with which the objects are thrown

Answer 1

Answer: (B)

If mass of $A$ is higher then its acceleration due to gravity is $g$ and due to air friction is $f / m$ so net acceleration of $A$ in upward motion is - $(g+f l m)$ which is less compared to that of $B$ as its mass is higher so it will ascend more height than $B$.