contestada

Object a with a mass of 1.5 kilograms is moving with a velocity of 11.2 meters/second (moving in the x direction). it has a perfectly elastic collision with stationary object b that has a mass of 4.5 kilograms. after the collision, object b travels with a velocity of 5.6 meters/second. what is the final velocity for object a? a. 3.8 meters/second in the same direction b. -3.8 meters/second in the opposite direction c. 5.6 meters/second in the same direction d. -5.6 meters/second in the opposite direction e. -6.2 meters/second in the opposite direction

Respuesta :

The final velocity for object a is 5.6 m/s in the opposite direction.

From the conservation of momentum, we know that the collision between two objects will result in the conservation of initial momentum and the final momentum i.e.,

                                    Pi  =  Pf

It is given that,

                      m₁ = 1.5 kg

                       u₁ = 11.2 m/s

                       m₂= 4.5 kg

                        u₂= 0

                         v₂= 5.6 m/s

We need to find v₁.

              Using momentum conservation

               m₁ u₁ + m₂ u₂ =  m₁ v₁ + m₂ v₂

               1.5 × 11.2 + 4.5 × 0 =  1.5 × v₁ + 4.5 × 5.6

                                   16.8 + 0 =  1.5 × v₁ +  25.2

                                  -8.4/ 1.5  =  v₁

                                    v₁ = - 5.6 m/s

Here, the negative sign shows that body is moving in the opposite direction.

Hence, option (d) is correct.

Learn more about energy conservation here:

https://brainly.com/question/2807738

#SPJ4

Otras preguntas