Dr. O. has created a new, albeit implausible sport called \'Springy-Sproing\'. I

Question

Dr. O. has created a new, albeit implausible sport called 'Springy-Sproing'. In springy-sproing, Dr O., mass 50kg, runs towards a sled, also mass 50kg with a speed of 4m/s. 50kg travels a distance of 3.2 meters along a hill sloped at 30degree relative to horizon, and then runs into a giant 10m long spring with a spring constant of 100 N/m at the bottom of the hill. Assume no friction, a) What speed does the sled have just after Dr. O. jumps on it (but before it begins to go down the hill) How much will the spring compress when the sled carrying Dr. O comes lo a slop?

Explanation / Answer

The K.E. of Dr. O will convert into spring energy

as 0.5mv2 =0.5kx2   

   50*42 = 100*x2   

x=2.828 m= spring compressed

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