Fun with a Spring Gun - MC Part B Find vIm the muzzle velocity of the ball (i.e.

Question

Fun with a Spring Gun - MC Part B Find vIm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y 0) A spring-loaded toy gun is used to shoot a ball of mass m 1.50 kg straight up in the air, as shown in (Figure 1) " The spring has spring constant k = 667 N/m. If the spring is compressed a distance of 25.0 cm from its equilibrium position y = 0 and then released, the ball reaches a maximum height hmax (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 along the y axis Express your answer using three significant figures Hints um = m/s Submit My Answers Give Up Figure 1 of 1 Part C Find the maximum height hmax of the ball Express your answer using three significant figures Hints max maix Submit My Answers Give Up

Explanation / Answer

Es - PEb = KEb

1/2ky^2 - m*g*y= 1/2mv^2

v^2 = (k/m)*y^2 - 2*g*y

v^2 = (667/1.50)*0.25^2 - 2*9.8*0.25 = 22.89166667

a)

Vm = (v^2) = 4.78 m/s

b)

Hmax = Vm^2/(2g) = 1.168 m

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