Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 6 - Think and Rank - Page 105-106: 41

Answer

a. A, B, C b. A, B, C c. C, B, A d. A, B, C

Work Step by Step

a. Impulse equals force multiplied by time. The 3 impulses delivered, in the order ABC, are: $$(100 N)(3 s) = 300 N s$$ $$(75 N)(3 s) = 225 N s$$ $$(50 N)(3 s) = 150 N s$$ b. Impulse equals the change in momentum. c. The final momentum, mv, is the same as the change in momentum, which is the impulse, because the crates started from rest. Find the final speed by dividing impulse and mass. In the order ABC, the final speeds are: $$\frac{300 N \cdot s}{30 kg} = 10 \frac{m}{s}, \frac{225 N \cdot s}{20 kg} = 11.25 \frac{m}{s}, \frac{150 N \cdot s}{10 kg} = 15 \frac{m}{s}$$ d. The final momentum, mv, is the same as the change in momentum, which is the impulse, because the crates started from rest.
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