Newton's Laws

1. How much force must a pitcher exert on a 0.5 kg baseball in order to accelerate it at 50 m/s²? Does the baseball exert a force on the pitcher in the above instance? If so, how big is it and in what direction?

2. An 100 kg firefighter whose weight is 1000N slides down a vertical pole with an acceleration of 3m/s². What is the force of friction on the firefighter?

3. A small car having a mass of 1,000 kg runs into an initially stationary 60,000 kg 18-wheeler from behind, exerting a force of 30,000N on the truck. What is the force that the truck exerts on the car? Find the accelerations of the both the truck and the car.

4. A flower pot weighing 20N falls from a window ledge. How large must air resistance be in order that the pot fall with an acceleration of 8 m/s²?Assume that without air resistance the acceleration would be 10 m/s².Show your work.