Calculating Velocity of a Block Shot from a Spring Gun

AI Thread Summary
To calculate the velocity of a block shot from a spring gun, the spring's potential energy must be converted into kinetic energy and gravitational potential energy. The spring constant is 28 N/m, and the block's mass is 0.75 kg, with an initial compression of 0.23 m. The height of the table is 1.04 m, which affects the total energy calculation. The correct approach involves considering both the spring energy and the gravitational potential energy to find the block's velocity upon impact. The final velocity should be approximately 4.73 m/s when calculated correctly, factoring in the height of the table.
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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