Two masses and are connected by an inextensible light string. The string is passing over a light frictionless pulley. The mass is resting on a surface and mass is hanging in air is as shown in Fig. A particle of mass strikes the mass from below in case (I) with a velocity and in case (II) strikes mass with a velocity from top and sticks to it
a) |
The conservation of linear momentum can be applied in both the cases just before and just after collision |
b) |
The conservation of linear momentum can be applied in case I but cannot be applied in case II just before and just after collision |
c) |
The ratio of velocities of mass just after collision in first and second case is 1/2 |
d) |
The ratio of velocities of mass just after collision in first and second case is 2 |
Two masses and are connected by an inextensible light string. The string is passing over a light frictionless pulley. The mass is resting on a surface and mass is hanging in air is as shown in Fig. A particle of mass strikes the mass from below in case (I) with a velocity and in case (II) strikes mass with a velocity from top and sticks to it
a) |
The conservation of linear momentum can be applied in both the cases just before and just after collision |
b) |
The conservation of linear momentum can be applied in case I but cannot be applied in case II just before and just after collision |
c) |
The ratio of velocities of mass just after collision in first and second case is 1/2 |
d) |
The ratio of velocities of mass just after collision in first and second case is 2 |
(b,d) In the first case : In the second case: (i) (ii) From Eqs. (i) and (ii), and required ratio |