Momentum and CollisionHardBloom L3
Question
In the figure shown the system is at rest initially. Two persons ‘A’ and ‘B’ of masses 40 kg each move with speeds v1 and v2 respectively towards each other on a plank lying on a smooth horizontal surface as shown in figure. Plank travels a distance of 20 m towards right direction in 5 sec. (Here v1 and v2 are given with respect to the plank). Then the possible condition(s) can be
Options
A.v1 = 0 m/s, v2 = 10 m/s
B.v1 = 5 m/s, v2 = 15 m/s
C.v1 = 10 m/s, v2 = 20 m/s
D.v1 = 2 m/s, v2 = 12 m/s
Solution
Sol. Velocity of plank w.r.t. ground = $\frac{20}{5}$ = 4 m/s right.
Pf = 0
⇒ 40 (v1 + 4) + 40(4 – v2) + 20 × 4 = 0
⇒ 40 (v1 – v2) + 320 + 80 = 0
⇒ v1 – v2 = – 10
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
Two charges moving under their only own mutual attraction separated by large distance initially. Then choose the correct...A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through it center. At s...In the diagram shown all three rods are of equal length L and equal mass M. The system is rotated such that rod B is the...Two particle A and B start moving due to their mutual interaction only. If at any time ′t′ and are their res...A closed cylinder of length ′l′ containing a liquid of variable density ρ(x) = ρ0 (1 + αx). F...