An 800 kg car and a 1,600 kg truck move toward one another, both traveling at 15 m/s. In what direction will the two vehicles move after they collide? Show your calculations to prove your answer.​

Respuesta :

Answer: The two vehicles moved in the direction of the truck after collision

Explanation: Given that

Mass of the car M1 = 800 kg

Mass of the truck M2 = 1600 kg

Since the two vehicles move together after collision, then, the collision is inelastic. Therefore

M1U1 - M2U2 = (M1 + M2)V

U1 = U2 = 15 m/s

(800 × 15) - (1600 × 15) = ( 800 + 1600)V

12000 - 24000 = 2400V

2400V = - 12000

V = - 12000/2400

V = - 5 m/s

Since V is negative, and M2U2 is also negative, therefore,

The two vehicles moved in the direction of the truck after collision

After collision, the two vehicles moved throughout the direction of the truck.

Collision:

A collision happens whenever two things collide and whenever two contrasting concepts run into problems.

A short dynamic event characterized by the near proximity of 2 or maybe more components, including such molecules, leading in a sudden shift in momentum as well as energetic interchange.

According to the given question,

Car's mass, [tex]M_1 = 800[/tex] kg

Truck's mass, [tex]M_2 = 1600[/tex] kg

Velocity, [tex]U_1 = U_2 = 15[/tex] m/s

We know,

→                  [tex]M_1 U_1- M_2 U_2 = (M_1+M_2)V[/tex]

By substituting the values,

  [tex](1800\times 15)-(1600\times 15) = (800+1600)V[/tex]

                    [tex]12000-24000=2400\ V[/tex]

                                       [tex]V =-\frac{12000}{2400}[/tex]

                                           [tex]= -5[/tex] m/s

Thus the above answer is correct.      

Find out more information about mass of object here:

https://brainly.com/question/7694106