4:Samee you lay a xpring with kx Ntninthe fkxe game a wall A3 ses is placad onaa

Question

4:Samee you lay a xpring with kx Ntninthe fkxe game a wall A3 ses is placad onaasnere high heterdma Terp The rens is released tan sen and aaas down the ran 5m at whai is lke masirurs accelertion terus wil experience as i coepresses che spring? (It's prety Inge.) b)Suppoie ge isorsed the nass cre g hen. Would te sow ba cmprexa Ehe vpnumrs, las, or the sare aroun asts 3 kg bea? jEMify your answer in words mat c) Suppose WE nreased the mass of the boa would te new bin esperime a mas man auelease that a larger.ruller.orte same as the azeleration T·puri a? Justify your

Explanation / Answer

a)The box intially has potential energy which gets converted to the kinetic energy of the spring at the end.

m g h = 1/2 k x^2

x = sqrt (2 m g h/k)

x = sqrt (2 x 3 x 9.8 x 5/200) = 1.21m

The force that the box will experince is Hook's force,

F = kx = 200 x 1.21 = 242 N

F = ma => a = F/m = 242/3 = 80.67 m/s^2

Hence, F = 80.67 m/s^2

b)The comression of the spring is given by

x = sqrt (2 m g h/k)

x is proportional to sqrt(m)

So, with the increase of mass, the compression of the soring increases.

c)a = F/m

The compression increases with the factor of sqrt(m) but the acceleration is inversely proportional to mass, so with the increase in mass the acceleration will decrease.

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