A 3,000-kg car bumps into a stationary 5,000-kg truck. The velocity of the car before the collision was +4 m/s and -1 m/s after the collision. What is the velocity of the truck after the collision?

Respuesta :

The velocity of the truck after collision is 3 m/s.

Explanation:

Collision : A collision is said to occur between two bodies, either if they physically collide against each other or if the path of one is affected by the other.

Elastic Collision : If there is no loss of kinetic energy during a collision. Momentum and kinetic energy  is conserved in Elastic collision.

Mass of car = 3000 kg

Mass of truck = 5000 kg

initial Velocity of car (u₁)  =  4 m/s

Final velocity of car (v₁)  = -1 m/s

Initial velocity of Truck  = 0 m/s

 Final Velocity of Truck  = ?

we know that momentum is conserved in an Elastic collision

Initial Momentum = final momentum

m₁u₁ +  m₂u₂     =     m₁v₁ +  m₂v₂

3000 x 4+ 5000 x0  = 3000 x (-1) + 5000 V₂

12000 + 0 = -3000 +5000 v₂

15000  = 5000 v₂

v₂ = 15000/5000   =    3 m/s

Velocity of truck after the collision is 3 m/s

Although, The velocity of the truck after the collision is when the velocity of the truck after the collision is 3 m/s.

What is Elastic Collision?

Collision: A collision is stated to happen between two bodies, either if they physically collide against each different or if the path of one is affected by the other.

Elastic Collision: When If there is no loss of kinetic energy during a collision. Then Momentum and also kinetic energy are conserved in an elastic collision.

Mass of car = 3000 kg

Then Mass of truck = 5000 kg

Then initial Velocity of car (u₁) = 4 m/s

Now, The Final velocity of car (v₁) = -1 m/s

After that, Initial velocity of Truck = 0 m/s

Then Final Velocity of Truck =?

Now we know that momentum is conserved in an Elastic collision

Then Initial Momentum = final momentum

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

3000 x 4+ 5000 x0 = 3000 x (-1) + 5000 V₂

12000 + 0 = -3000 +5000 v₂

After that 15000 = 5000 v₂

Then v₂ = 15000/5000 is = 3 m/s

Therefore, Velocity of the truck after the collision is 3 m/s.

Find more information about Elastic Collision here:

https://brainly.com/question/7694106