Home
Class 12
PHYSICS
A small block of mass M move on a frict...

A small block of mass `M` move on a frictionless surface of an inclimed from as down is figure . The engle of the inclime suddenly change from `60^(@)` to `30^(@)` at point `B` . The block is initally at rest at `A` Assume the collsion between the block and the incline are totally inclassic `(g = 10m//s^(2)`)

If collision between the block and the incline is completely elestic , then the vartical (apward) component of the of the block at point `B` immediatly after it stricess the scond indine is -

A

`sqrt(30) m//s`

B

`sqrt(15) m//s`

C

`0`

D

`-sqrt(15) m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
In elastic collision, component of v1 parallel to BC will remain unchanged, while component perpendicular to BC will remain unchanged in magnitude but its direction will be reversed.
`v_(_|_) = v_1 cos 30^@ = (sqrt(60))((sqrt3)/2) = sqrt(45) m//s`
`v_(_|_) = v_1 sin 30^@ = (sqrt(60))(1/2) = sqrt(15) m//s`
Now the vertical component of velocity of the block,
`v' = v_(_|_) cos 30^@ = v_(||) cos 60^@" " = (sqrt15) ((sqrt3)/(2)) - (sqrt(45))(1/2) = 0`
Promotional Banner

Topper's Solved these Questions

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - ASSERTION & REASON TYPE|1 Videos

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - MATCH MATRIX TYPE|1 Videos

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE)|80 Videos

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|89 Videos

  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE )|111 Videos

Similar Questions

Explore conceptually related problems

A small block of mass M moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from 60^(@) to 30^(@) at point B . The block is many at rest at A . Assume that collisions between the block id the incline are totally inelastic. The speed of the block at point B immediately after it strikes the second incline is

A small block of mass M moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from 60^(@) to 30^(@) at point B . The block is many at rest at A . Assume that collisions between the block id the incline are totally inelastic. The speed of the block at point C , immediately before it leaves the second incline

A small block of mass M moves on a friction-less surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from 60^(@) to 30^(@) at point B . The block is initially at rest at A . If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the blocks at point B , immediately after it strikes the second incline is

A block of mass 'm' is released on the top of a frictionless incline as shown in the figure. The time period of the oscillation of the block is

A block of mass m is at rest on a rough inclined plane of angle of inclination theta . If coefficient of friction between the block and the inclined plane is mu , then the minimum value of force along the plane required to move the block on the plane is

In fig Block m_(2) is loaded on block m_(1) . If there is no relative sliding between the block and the inclined plane is smooth , find the friction force between the block

A block of mass m is placed at rest on an inclination theta to the horizontal. If the coefficient of friction between the block and the plane is mu , then the total force the inclined plane exerts on the block is

A block of mass 5 kg is at rest on a rough inclined surface. If angle of inclination of plane is 60^(@) , then force applied by it on block is

A block of mass m slides down an inclined plane of inclination theta with uniform speed. The coefficient of friction between the block and the plane is mu . The contact force between the block and the plane is

A block of mass 3kg is at rest on a rough inclined plan as shown in the Figure. The magnitude of net force exerted by the surface on the block will be