- #1
EvanQ
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Homework Statement
A spring-loaded toy gun is used to shoot a ball of mass m= 1.50kg straight up in the air, as shown in the figure. The spring has spring constant k = 667N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y=0 and then released, the ball reaches a maximum height h_max (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that all movement occurs in a straight line up and down along the y axis.
Find v_m the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y=0).
Homework Equations
F = kx
F = ma
v^2 = u^2 + 2as
The Attempt at a Solution
I think I am using some formula's that don't really belong. Not sure which steps I go wrong in though.
F=kx
=667x0.25
=166.75
F=ma
166.75=1.5a
a=111.16m/s
v^2 = u^2 + 2as
= 0+(2x111.16x0.25)
= 55.58
v = 7.455m/s