Atoy car having mass m = 1.10 kg collides inelastically with a toy train of mass m = 3.55 kg. before the collision, the toy train is moving in the positive x-direction with a velocity of vi = 2.20 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.95 m/s. immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.80 m/s.

(a) determine the final velocity of the toy train. cm/s
(b) determine the change ake in the total kinetic energy.

ΔK = 2.45 J

Explanation:

a) Using the law of the conservation of the linear momentum:

Where:

Now:

Where is the mass of the car, is the initial velocity of the car, is the mass of train, is the final velocity of the car and is the final velocity of the train.

Replacing data:

Solving for :

Changed to cm/s, we get:

b) The kinetic energy K is calculated as:

K =

where M is the mass and V is the velocity.

So, the initial K is:

And the final K is:

Finally, the change in the total kinetic energy is:

ΔK = Kf - Ki = 22.06 - 19.61 = 2.45 J

answer; (arch); good luck

an obstruction