1)A pitched baseball of mass .200kg, arives at home plate with a speed of 40m/s

Question

1)A pitched baseball of mass .200kg, arives at home plate with a speed of 40m/s and is batted straight back to the picture (at the same height) with a return speed of 60m/s. neglect air resistance and determine the work done by the bat on the ball

2) a 140kg astonaut (including space suit) aquires a speed of 2.50m/s by pushing off with his legs from an 1800kg space capsule. A) what is the change in speed of the space capsule? B) if the push last .500s what is the ave force exherted by each other?

Explanation / Answer

1)work done is change in kinetic energy = 1/2*m(v1^2-v2^2)=1/2*0.2*(3600-1600)=0.1*2000=200 joules

2)momentum conservation

m1v1=m2v2

140*2.50 = 1800*V

v=0.19444m/s

force = mass*velocity/time

force1=140*2.5/0.5=700N

similarly force 2 = 700N

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