Question

Two objects of masses 10 kg and 15 kg are moving in the same direction with different velocities 5 m/min and 10 m/min respectively. If they collide and stick together and move with a common velocity, then the magnitude of their common velocity is
Choose one:

8 m/min

10 m/min

5 m/min

20 m/min

Answer 1

here is u r answer just apply the law of conservation of momentum

Answer 2

Answer:

A) The common velocity of two bodies struck together after the collision will be 8 m/min.

Explanation:

When two objects collide, either they bounce and move with different velocities or they stick together to move with a common velocity.

This first condition is called the elastic collision, while the second one is referred to as an inelastic collision.

In the given question,

Let the mass of the first object be m1 = 10 kg

and mass of the second object be m2 = 15 kg.

The initial velocity of the first object u1 = 5 m/min.

The initial velocity of the second object u2 = 10 m/min.

Let the common velocity after collision be v.

Now, The law of conservation of linear momentum states that in the absence of an external force, the initial and final momentum of the body remains constant.

i.e. initial momentum of the system = final momentum of the system

                            ⇒        m1u1 + m2u2 = (m1+m2)v

                            ⇒      10×5 + 15×10 = (10+15)v

                            ⇒                50+150 = 25v

                            ⇒                           v =    $\frac{200}{25}$

                            ⇒                           v = 8m/min.

Learn more about :

Elastic collision: https://brainly.in/question/535926#

Inelastic collision: https://brainly.in/question/3263762