1) A(n) 0.16 kg baseball is thrown with a speed of 13.3 m/s. It is hit straight

Question

1) A(n) 0.16 kg baseball is thrown with a speed of 13.3 m/s. It is hit straight back at the pitcher with a ?nal speed of 24.8 rn/ s. What is the magnitude of the impulse de- livered to the ball? Answer in units of kg m/s

2) Find the average force exerted by the bat on the ball if the two are in contact for 0.00111 s. Answer in units of N

3) An attack helicopter is equipped with a 20- mm cannon that ?res 105 g shells in the forward direction with a muzzle speed of 669 The fully loaded helicopter has a mass of 4260 kg. A burst of 133 shells is ?red in a 5.41 s interval. What is the resulting average force on the helicopter? Answer in units of N

4) By what amount is its forward speed reduced? Answer in units of m/s

5) A force of 5.57 N acts on a(n) 4.8 kg object for 15.5 s. What is the object

Explanation / Answer

1) impulse = dp = m (vf - vi) = 0.16*(24.8 - (-13.3))= 6.1 kg m/s

2) F = dp/dt = 6.1/0.00111= 5495 N

3) so impusle helicopter = impulse of all shells = 133*105.0E-3*669

F = dp/dt = 133*105.0E-3*669/5.41= 1726.9

4) so impulse helicopter = m dv

4260 *dv = 133*105.0E-3*669

dv= 133*105.0E-3*669/4260= 2.19 m/s

5) dp = F dt = 5.57*15.5= 86.3 kg m/s

6) dp = m dv

dv = 86.3/4.8= 17.98 m/s

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