- #1
motoxkx
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Problem:
A 3.30kg block is dropped from a height of 5.70m onto a spring of spring constant 3806 N/m. When the block is momentarily at rest, the spring has compressed by 32.0 cm. Find the speed of the block when the compression of the spring is 13.5cm.
How I approached it:
Calculate the the elastic energy when the spring is compressed 32.0cm. Then subtract the elastic energy when the spring is compressed 13.5cm. Then that energy would be the current kinetic energy, and I determined velocity from that. However, this is not giving me the correct answer.
Calculations:
Elastic Energy at 32.0cm
E = .5kx^2 = .5*3806*.32^2 = 194.8672 J
Elastic Energy at 13.5cm
E = .5kx^2 = .5*3806*.135^2 = 34.682 J
Subtract the potential energy remaining
194.8672 - 34.682 = 160.185 J
Find velocity
Ke = .5mv^2
160.185 = .5*3.30*v^2
v = 9.85 m/s
Where am I going wrong? Thanks in advance
A 3.30kg block is dropped from a height of 5.70m onto a spring of spring constant 3806 N/m. When the block is momentarily at rest, the spring has compressed by 32.0 cm. Find the speed of the block when the compression of the spring is 13.5cm.
How I approached it:
Calculate the the elastic energy when the spring is compressed 32.0cm. Then subtract the elastic energy when the spring is compressed 13.5cm. Then that energy would be the current kinetic energy, and I determined velocity from that. However, this is not giving me the correct answer.
Calculations:
Elastic Energy at 32.0cm
E = .5kx^2 = .5*3806*.32^2 = 194.8672 J
Elastic Energy at 13.5cm
E = .5kx^2 = .5*3806*.135^2 = 34.682 J
Subtract the potential energy remaining
194.8672 - 34.682 = 160.185 J
Find velocity
Ke = .5mv^2
160.185 = .5*3.30*v^2
v = 9.85 m/s
Where am I going wrong? Thanks in advance