Question

a sphere of mass 25 kg moving with a velocity of 40 m/s collides with another sphere of mass 15 kg which is at rest. after collision, if they move with the same velocity find that velocity​

Answer 1

Answer:

therefore,final velocity of both spheres =X=25m/s

Answer 2

Concept:

The concept used here is law of conservation of momentum which states that, the total momentum is always conserved between the bodies in an isolated system, if there is no external force being applied on the system.

Given:

Mass of sphere 1  = 25 kg

Mass of sphere 2 = 15 kg

Initial velocity of sphere 1 = 40 m/s

Initial velocity of sphere 2 = 0 m/s

They move with same velocity after collision.

Find:

Velocity of spheres after the collision.

Solution:

Let us assume,

Vi1 = Initial velocity of sphere 1

Vi2 = Initial velocity of sphere 2

Vf = Final velocity of both spheres

m1 = Mass of sphere 1

m2 = Mass of sphere 2

Applying Conservation of Momentum,

Initial momentum = Final momentum

( m1 × Vi1 ) + ( m2 × Vi2 ) = ( m1 × Vf ) + ( m2 × Vf )

( m1 × Vi1 ) + ( m2 × Vi2 ) = ( m1 + m2 ) × Vf

( 25 × 40 ) + ( 15 × 0 ) = ( 25 + 15 ) × Vf

25 × 40 = 40 × Vf

Vf = 25 m/s

Hence, after collision both sphere will move with the velocity of 25 m/s.

#SPJ3