Center of MassHard
Question
A solid iron ball A of radius r collides head on with another stationary solid iron ball B of radius 2r. The ratio of their speeds just after the collision (e = 0.5) is :
Options
A.3
B.4
C.2
D.1
Solution
MA = ρ ×
πr3 e = 
MB = ρ ×
π (2r)3 = 8MA
mA v + 0 = mAv1 + mBv2 .........(i)
ev = v2 − v1 .........(ii)
Adding (i) + (ii) = 9v2 = v +
∴ v1 = v2 −
∴
= 2.
MB = ρ ×
mA v + 0 = mAv1 + mBv2 .........(i)
ev = v2 − v1 .........(ii)
Adding (i) + (ii) = 9v2 = v +
∴ v1 = v2 −
∴
Create a free account to view solution
View Solution FreeMore Center of Mass Questions
A particle strikes a horizontal smooth floor with a velocity u making an angle θ with the floor and rebounds with v...A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms-1) through a small hol...There are two particles of same mass. If one of the particles is at rest always and the other has an acceleration . Than...A bullet of mass m moving vertically upwards instantaneously with a velocity ′u′ hits the hanging block of m...A uniform solid cone of height 40 cm is shown in figure. The distance of centre of mass of the cone from point B (centre...