Question

I need help with this question Part a and Part b

Answer 1

Given:

The mass of the locomotive is m1 = 110000 kg

The initial speed of the locomotive is

`v_(initial)=\text{ 1 m/s}`

The mass of the rail car is m2 = 25000 kg

The initial speed of the rail car is zero.

The radius of the wheel is r = 0.48 m

To find

The final velocity of the locomotive and the car.

The angular velocity after collision.

Step-by-step explanation:

The final velocity can be calculated as

`\begin{gathered} m1v_(initial)+m2*0=(m1+m2)v_(final) \\ v_(final)=(m1v_(initial))/(m1+m2) \\ =(110000*1)/(110000+25000) \\ =\text{ 0.82 m/s} \end{gathered}`

The angular velocity after the collision can be calculated as

`\begin{gathered} \omega=(v_(final))/(r) \\ =(0.82)/(0.48) \\ =1.7\text{ rad/s} \end{gathered}`