Question

a 2500 kg car going 35 m/a hits a 4000kg truck that is sitting still. What is the velocity of the truck if the car transfers all of its momentum to the truck?

Answer 1

Velocity of truck is 21.875 m/s.

Step-by-step explanation:

Given:

Mass of the car (m) = 2500 kg

Initial speed of the car (u) = 35 m/s

Mass of the truck (M) = 4000 kg

Initial speed of the truck (U) = 0 m/s (Rest)

As per question, the total momentum of the car gets transferred to the truck.

Therefore, the final momentum of the car is 0.

Momentum is given as the product of mass and velocity.

So, if momentum becomes zero means the velocity becomes 0.

Therefore, final velocity of the car (v) = 0 m/s

Let the final velocity of truck be 'V' m/s.

Now, during collision, the total momentum remains conserved.

Initial momentum = Final momentum.

Initial momentum of car + Initial momentum of truck = Final momentum of car + Final momentum of truck.

⇒
`mu+MU=mv+MV\\\\2500* 35+4000* 0=2500* 0+4000* V\\\\87500+0=0+4000V\\\\4000V=87500\\\\V=(87500)/(4000)\\\\V=21.875\ m/s`

Therefore, the velocity of the truck is 21.875 m/s.