Question

A blue car with mass mc = 512 kg is moving east with a speed of vc = 17 m/s and collides with a purple truck with mass mt = 1397 kg that is moving south with an unknown speed. The two collide and lock together after the collision moving at an angle of θ = 56° South of East

1.What is the magnitude of the initial momentum of the car

2.What is the magnitude of the initial momentum of the truck

3.What is the speed of the truck before the collision

4. What is the magnitude of the momentum of the car-truck combination immediately after the collision

5. What is the speed of the car-truck combination immediately after the collision?

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A blue car with mass mc = 459.0 kg is moving east with a speed of vc = 19.0 m/s and collides with a purple truck with mass mt = 1245.0 kg that is moving south with a speed of vt = 10.0 m/s . The two collide and lock together after the collision. 1) What is the magnitude of the initial momentum of the car? 2) What is the magnitude of the initial momentum of the truck? 3) What is the angle that the car-truck combination travel after the collision? (give your answer as an angle South of East) 4) What is the magnitude of the momentum of the car-truck combination immediately after the collision? 5) What is the speed of the car-truck combination immediately after the collision? 6) Compare the initial and final kinetic energy of the total system before and after the collision:   

answer

1) What is the magnitude of the initial momentum of the car?

pc = mc vc = 459.0 * 19.0 = 8721 Kg.m/s

2) What is the magnitude of the initial momentum of the truck?

pt = mt vt = 1245.0 * 10.0 = 12450 Kg.m/s

3) What is the angle that the car-truck combination travel after the collision? (give your answer as an angle South of East)

? =Arctan(12450/8721) = 54.989 ? 55.0 degrees

4) What is the magnitude of the momentum of the car-truck combination immediately after the collision?

?(8721*8721+12450*12450) = 15201 Kg.m/s

5) What is the speed of the car-truck combination immediately after the collision?

15201/(459+1245) = 8.9208 ? 8.92 m/s

6) Compare the initial and final kinetic energy of the total system before and after the collision:

before:

0.5*459*19*19 + 0.5*1245*10*10 = 145100 J

after:

0.5 * (459+1245) * 8.9208 * 8.9208 = 67803 J