Question 2 bow stri An arrow resting on the graph provided a bow string experien

Question

Question 2 bow stri An arrow resting on the graph provided a bow string experiences a variable force for 0.85 s as it is shot from the bow, as shown in 50 Force 0.85 Time 0 (a) Given the mass of the arrow as marow 0.20 kg, use the graph to calculate the speed of the arrow at the instant it leaves the bow string. Explicitly indicate the principles used in your calculations. The arrow then travels until it hits an apple on top of a man's head. When the arrow hits the apple, it is at th same height as it was when it left the bow. The arrow and apple stick together and fly off his head, landing certain distance behind the man. The mass of the apple is 0.4 kg.

Explanation / Answer

Anyway, the impulse given to the bow is

p = Ft = 50N * 0.85s = 42.5 N·s

a) v = v = p / m = 42.5N·s / 0.20kg = 212.5 m/s

which should be rounded to 210 m/s given the data.

b) 212.5m/s * 0.2kg + 0m/s * 0.4kg = V * 0.6kg

system speed V = 70.8 m/s

c) The statement is incorrect. Those forces are internal to the system and therefore to not affect the system momentum.

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