a block of mass m is dropped onto a spring scale. the scale has been calibrated

Question

a block of mass m is dropped onto a spring scale. the scale has been calibrated to read mg when the block is at rest on it. The scale reading will fluctuate during the landing. What maximum weight will the scale read during the landing scalescale scale readsreads reads A block of mass m is dropped onto a spring scale The scale has been calibrated to read mg when the block is at rest on it. The scale reading will auctuate during the landing. What maximum weight will the scale read during the landing?

Explanation / Answer

Applying work - energy conservation,

Work done by gravity + work done by spring = change in KE

m g (d + y) - k y^2 /2 = 0 - 0

(k/2) y^2 - m g y - m g d = 0

y = ( m g + sqrt[ m^2 g^2 + 2 k m g d] ) / k

w = k y

w = m g + sqrt[ m^2 g^2 + 2 k m g d] ..........Ans

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