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
The pressure of water in a water pipe when tap is opened and closed is respectively 3 × 105 Nm-2 and 3.5 × 105...A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throiws a stone of 0.5 k...A ball moving with a velocity v hits a massive wall moving towards the ball with a velocity u. An elastic impact lasts f...A bead can slide a smooth a straight wire and a particle of mass m attached to the bead by a light string of length stri...Figure shows a block A of mass 5 kg kept at rest on a horizontal smooth surface. A spring (K = 200 N/m) which is compres...