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 their exerts a constant and equal force of resistance on the two bodies.

Options

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

Answer

B

Explanation

`A : 0 = u^(2) - 2(g + (R )/(m_(A))) h_(A)` (i)
`B : 0 = u^(2) - 2 (g + (R )/(m_(B))) h_(B)` (ii)
`(h_(A))/(h_(B)) = ( g + (R )/(m_(B)))/(g + (R )/(m_(A)))`
Since `m_(A) gt m_(B) , (R )/(m_(A)) lt (R )/(m_(B))`
`(g + (R )/(m_(A))) lt (g + (R )/(m_(B)))`
`h_(A) gt h_(B)`