Question

After 20 seconds, a 200-kg object increases its velocity from 15 m/s to 40 m/s. Determine the impulse applied to the object. (Also show your work so I can understand it better and ty)

Answer 1

Imp_{1-2}=5000[kg*m/s]

Step-by-step explanation:

In order to solve this problem, we must use the principle of conservation of momentum, which is defined as the product of mass by Velocity.

It must be defined that the impulse after the force is applied is equal to the momentum before the impulse applied on the body.

ΣPbefore = ΣPafter

P = momentum = m*v [kg*m/s]

In this way, we will construct the following equation.

`(m_(1)*v_(1))+ Imp_(1-2)=(m_(1)*v_(2))`

where:

m₁ = mass of the object = 200 [kg]

v₁ = velocity of the object before the impulse = 15 [m/s]

v₂ = velocity of the object after the impulse = 40 [m/s]

Now replacing:

`(200*15) + Imp_(1-2) = (200*40)\\Imp_(1-2)=5000[kg*m/s]`