The elastic potential energy stored in a spring is given by:
where k is the spring constant, and x=0.5 is the compression of the spring. Re-arranging the formula and using E=5 J, we find the spring constant:
Use the formula:
E = (1/2) * m * v ^2
For unit consistency, make sure that:
E energy is in joules (J)
m mass is in kilograms (kg)
v velocity is in meters per second (m/s)
So, substituting to the equation:
14= (1/2) * (17) * v^2
By algebraic manipulation, we derive:
v = (2*14/17)^0.5
v = 1.2834 m/s
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