Physics questions on KE, time, and absorbed energy?

timer Asked: Jan 22nd, 2014

Question description

1.A dwarf drops from a tree and when it hits the ground it crouched down a distance of 0.4 m. If the dwarf dropped down from a height of 3.0 m what was the average force it absorbed over the crouching distance of 0.4 m? (Please show any sigfigs and any equations you've used) thank you kindly. 

 2. Initially the goblin and the dwarf have the same velocity, but the dwarf has asthma and begins to slow down. He slows his pace at a constant rate of -0.6m/s^2 but the goblin maintains his velocity at 8 m/s. If the distance is 15m between the dwarf and the goblin when the dwarf began to slow down how long would it take for the dwarf to catch up? (apparently there are 3 parts to solving this problem.. please explain.) 
 3. The goblins fists cut through the air and connects with the dwarfs face in an elastic collision. The goblins fists each weigh 2kg and the dwarfs head weighs 5kg. What is the kinetic energy imparted to the dwarfs face by the goblins fists if the goblins fists had an initial velocity of 5m/s? 
Much help would be greatly appreciated as I am stuck on this problem. Please show any steps and equations used to solve this problem, thank you.

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