Calculating Velocity of a Block Shot from a Spring Gun

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Homework Help Overview

The problem involves calculating the velocity of a block shot from a spring gun, considering the effects of gravitational potential energy and spring potential energy. The block has a mass of 0.75 kg, and the spring constant is given as 28 N/m with an initial compression of 0.23 m. The table height is 1.04 m, and the surface is frictionless.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of energy conservation principles, questioning the calculations and assumptions made regarding the spring constant and the height of the table. There is an inquiry into the original poster's work and the need to account for the height in the velocity calculation.

Discussion Status

The discussion is ongoing, with participants providing hints and asking for clarification on the original poster's calculations. There is no explicit consensus, but guidance has been offered regarding the need to incorporate the height of the table into the calculations.

Contextual Notes

Participants note discrepancies in the spring constant used in calculations and emphasize the importance of considering the gravitational potential energy when determining the velocity at impact.

Aggie
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A block, mass 0.75 kg, is "shot" from a spring gun from a table. The table has a height 1.04 m and is frictionless. If the spring has k=28 N/m and is originally compressed 0.23 m, how fast will the block be goign when it hits the ground?


(1/2)*kx^2 = (1/2)mv^2 ?



I got 4.3 m/s but the answer is 4.73 m/s
 
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If you show us your work, we can say where you've gone wrong.
 
(23*0.23^2)/2= (0.75*9.8*1.04)+(0.7*v^2)/2
 
Hint: you have to "count in" the height of the table somehow in your calculation.
 
Aggie said:
(23*0.23^2)/2= (0.75*9.8*1.04)+(0.7*v^2)/2
Are you sure?? You need to find the velocity at the bottom and not at 1.04m. Also, k = 28N/m, not 23.
 

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