Calculate Arrow Speed & Height | Spring Energy Problem Homework

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Homework Help Overview

The discussion revolves around a physics problem involving an archer shooting an arrow, focusing on the calculation of the arrow's speed as it leaves the bow and the maximum height it reaches when shot vertically. The subject area includes concepts of energy transfer and kinematics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of energy equations to determine the arrow's speed and height. There are questions regarding the accuracy of calculated values and the assumptions made about the average force and energy transfer.

Discussion Status

Some participants express uncertainty about the correctness of their calculations, particularly in relation to feedback from a Webassign platform. There is an ongoing exploration of the implications of the average force and the energy calculations, with no clear consensus reached yet.

Contextual Notes

Participants note potential discrepancies in the values used for calculations and question whether the assumptions about the average force and the distance the string is drawn back are realistic.

whoopie88
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Homework Statement


An archer puts a 0.30 kg arrow to the bowstring. An average force of 192 N is exerted to draw the string back 1.3 m. Assume that air resistance is negligible.
(a) Assuming that all the energy goes into the arrow, with what speed does the arrow leave the bow?

(b) If the arrow is shot straight up, how high does it rise?

Homework Equations


All Energy/Work equations


The Attempt at a Solution


2hxo8pe.jpg


Thanks in advance for help!
 
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Those values look correct to me.
 
Really? o.o I'm doing a Webassign, and it's telling me that my values are incorrect.
I put in 28.85 m/s for (a) and 42.4 m for (b).

Is there something I'm missing? o.o
 
whoopie88 said:
Really? o.o I'm doing a Webassign, and it's telling me that my values are incorrect.
I put in 28.85 m/s for (a) and 42.4 m for (b).

Is there something I'm missing? o.o

Given the values, it should be correct. Realistically speaking, 1.3 m is quite large for an archer to stretch the string.
 
whoopie88 said:
Really? o.o I'm doing a Webassign, and it's telling me that my values are incorrect.
I put in 28.85 m/s for (a) and 42.4 m for (b).

Is there something I'm missing? o.o

The "average" force is F, so the energy is F * 1.3

or

F = 192 = K* X /2 not K * X

So the velocity is 28.85 * sqrt(2) = 40.8m/sec
 

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