Describe and explain the definitions of linear impulse and l

Describe and explain the definitions of linear impulse and linear momentum of a particle. If a particle with mass 20 kg on a smooth horizontal plane is subjected to a constant external force 100 N along the horizontal axis and the particle starts from rest along the horizontal axis and has the velocity 10 m/s after 2 second. What are the linear impulse of the external force and the linear momentum of the particle during the period of 2 seconds?

Solution

Linear impuse:

If a force acts on a body for a very short time t , then the product of the force and time is called impulse.

Impulse = Change in Momentum

It’s S.I unit is N-s or kg-m/s

Concept of Impulse

Linear Momentum :

The product of the mass and the velocity of a body is called the linear momentum of the body.

Momentum = Mass × Velocity

Conservation of Momentum :

                                Impulse force = Ft

                                                          = 100 * 2

                                                          = 200 N-s

The particle of mass 20kg is initially at rest.

Recall that an impulse causes a change in linear momentum. Because the particle starts with zero velocity, it initially has a zero momentum.

Linear Moment of the particle during this 2 seconds is = m(V_f-V₀)     

                                                                                              = 20 (10 – 0)

                                                                                              = 200 kg-m/s