Question

Your car is stuck in the mud. you have 2 pulleys, rope, and a sturdy tree. ignoring friction how much force can you apply to the car if you are able to pull on the rope with 150lbs of force?

Answer 1

Cut line, 2/3 and 1/3

Secure end of shorter line to tree.

Reeve through block at car and secure to the hook on your second block which will be a traveling block

Now secure the end of your longer line to the tree

Run that line through the sheeve on the traveling block

now look at forces
tension T in line you pull so 2T on traveling block
2T on line from traveling block to car and thus also from car to tree

so total of 4 T on car

4 * 150 = 600 pounds. That should do it.