An archer puts a 0.4 kg arrow to the bow- string. An average force of 214.3 N is exerted to draw the string back 1.25 m. The acceleration of gravity is 9.8 m/s. Assuming no frictional loss, with what speed does the arrow leave the bow? Answer in units of m/s.

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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An archer puts a 0.4 kg arrow to the bow-
string. An average force of 214.3 N is exerted
to draw the string back 1.25 m.
The acceleration of gravity is 9.8 m/s.
Assuming no frictional loss, with what
speed does the arrow leave the bow?
Answer in units of m/s.
Transcribed Image Text:An archer puts a 0.4 kg arrow to the bow- string. An average force of 214.3 N is exerted to draw the string back 1.25 m. The acceleration of gravity is 9.8 m/s. Assuming no frictional loss, with what speed does the arrow leave the bow? Answer in units of m/s.
If the arrow is shot straight up, how high does
it rise?
Answer in units of m.
Transcribed Image Text:If the arrow is shot straight up, how high does it rise? Answer in units of m.
Expert Solution
Step 1

Given data

  • The mass of the arrow is given as m = 0.4 kg.
  • The force applied on the string is given as F = 214.3 N.
  • The gravitational acceleration is given as g = 9.8 m/s2.
  • The distance pulled by the arrow is given as d = 1.25 m.

 

The work done by the arrow is calculated as,

W=F×dW=214.3 N×1.25 mW=267.8 J

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