An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.45 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 37.5 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target? m/s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.45 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of
37.5 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target?
m/s
Transcribed Image Text:An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.45 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 37.5 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target? m/s
Expert Solution
Step 1

Given that:

The mass of the arrow m=22.5 g

The mass of the target M=300 g

The initial velocity of the arrow u1=37.5 m/s 

The initial velocity of the target -2.45 m/s

The final velocity of the target, v2=0

 

it is required to determine the speed of the arrow after passing through the target.

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