To practice Problem-Solving Strategy 7.2 Problems Using Mechanical Energy II. Th

Question

To practice Problem-Solving Strategy 7.2 Problems Using Mechanical Energy II. The Great Sandini is a 60.0-kg circus performer who is shot from a cannon (actually a spring gun). You don't find many men of his caliber, so you help him design a new gun. This new gun has a very large spring with a very small mass and a force constant of 1100 N/m that he will compress with a force of 4400 N. The inside of the gun barrel is coated with Teflon, so the average friction force will be only 40.0 N during the 4.00 m he moves in the barrel. At what speed will he emerge from the end of the barrel, 2.50 m above his initial rest position? Part C At what speed v_2 will. The Great Sandini emerge from the end of the gun barrel? Express your answer in meters per second to four significant figures.

Explanation / Answer

we know

force=kx

4400=1100*x

x=4 m

inital energy=0.5kx^2=8800 J

energy wasted in friction force=40*4=160 J

let his initial velocity is u m/s

0.5*mu^2=8800-160=8640

we got u=16.97 m/s

Now using newton equation

v^2=u^2+2ah

here a=-g=-9.8 m/s^2,h=2.5 m

we got v=15.46 m/s

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