A 5 kg block drops 2m upon a spring whose modulus is 10000 N/m. What will be the speed of the block when the spring is deformed 0.1m.
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Given,
Mass of the block=5kg
Spring modulus=10000N/m
Deforming distance=0.1m
To Find,
Speed of the block.
Solution,
We can find out the speed by using conservation of energy equation.
By using it,
Pi+Pf=Ki+Kf
mgh = (0.5)kx^2 + (0.5)mv^2 (∵Initial there will be no height so initial potential is 0 at that point)
⇒5(10)(2) = 0.5(10000)(10^-2) + (0.5)(5)(v^2)
⇒100 = 50 + (2.5)(v^2)
⇒v^2 = 20
⇒v = 2√5 m/s
Hence, the speed of the block will be 2√5m/s.
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