tem 9 -Part B Constants I Periodic Table Find tha , the launch velocity (ie, the

Question

tem 9 -Part B Constants I Periodic Table Find tha , the launch velocity (ie, the velocity of the ball at the spring's equilibrium position y 0). A spring-loaded launcher 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 equilibrium position y = 0 and then released, the ball reaches a maximum height hmax ( equilibrium position of the spring). There is no air resistance and the ball never touches the inside of the launcher. Assume that all movement occurs in a straight line up and down along he y axis. View Available Hint(s) from its from the Submit Figure 1 of 1 Part C Find the maximum height hmax of the ball Express your answer numerically, in meters. hmx 0

Explanation / Answer

here,

mass of ball , m = 1.5 kg

spring constant , K = 667 N/m

x = 0.25 m

a)

let the launch speed be u

using conservation of energy

0.5 * k * x^2 = m *g * x + 0.5 * m * u^2

0.5 * 667 * 0.25^2 = 1.5 * 9.81 * 0.25 + 0.5 * 1.5 * u^2

solving for u

u = 4.78 m/s

the initial speed is

b)

let the maximum height be Hmax

using conservation of energy

Hmax = u^2 /( 2 * g)

Hmax = 4.78^2 /(2 * 9.81)

Hmax = 1.16 m

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