p09 026

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26. We use coordinates with

+

x horizontally toward the pitcher and

+

y upward. Angles are measured coun-

terclockwise from the

+

x axis. Mass, velocity and momentum units are SI. Thus, the initial momentum

can be written 

p

0

= (4.5



215

) in magnitude-angle notation.

(a) In magnitude-angle notation, the momentum change is (6.0



90

)

(4.5



215

) = (5.0



43

)

(efficiently done with a vector capable calculator in polar mode). The magnitude of the momentum
change is therefore 5.0 kg

·m/s.

(b) The momentum change is (6.0



0

)

(4.5



215

) = (10



15

). Thus, the magnitude of the

momentum change is 10 kg

·m/s.


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