Problem 18 Part C Find the maximum height hmax of the ball. Express your answer

Question

Problem 18 Part C Find the maximum height hmax of the ball. Express your answer numerically, in meters. 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 centimeters from its equilibrium position y0 and then released, the ball reaches a maximum height hnax (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 ine up and down along the y axis. Hints ? In Submit My Answers Give Up Part D

Explanation / Answer

(C) Applying energy conservation,

PEi + KEi = PEf + KEf

(k x^2 / 2) + 0 + 0 = 0 + m g h + 0

667 (0.25^2) / 2 = (1.50) (9.81) h_max

h_max = 1.42 m

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