A toy rifle contains a spring whose force constant is 300N/m. When it is ******, the spring is compressed 0.0500m by a mass of 0.0500kg. Calculate the maximum height that the mass will attain above its initial level. Ignore the effects of air resistance
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I am not sure what you mean by 'when it is *****'...I am assuming you mean when it is vertical
we solve this using conservation of energy
when the spring is compressed, it has PE equal to 1/2 k x^2 where k is the spring constant and x is the displacement from equilibrium
when it is at its maximum height, it has PE of m g H where H is the height above its launch point, so we have
1/2 k x^2 = m g H
H = k x^2/2 m g = 300N/m *(0.05m)^2/2*0.05kg*9.8m/s/s = 0.77m
this is the height above the initial launch point; if the question is asking how high it gets above the equilibrium position, remember to subtract 0.05m since the spring was depressed by that amount