1. A 1.0kg block is pushed a distance of 1.0m across a frozen lake by a constant force. Starting from rest, the block attained a speed of 5m/s. How much further must the block be pushed by the same force to reach a speed of 10m/s? Show your work using the work-energy theorem.
2. Two identical carts travel towards each other at the same speed, v, along a frictionless track. They collide and stick together. What is the speed of the two-cart system after the collision? Show your work using the law of momentum conservation.