MasteringPhysics HW Ch10-Google Chrome a Secure https//session.masteringphysics.

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MasteringPhysics HW Ch10-Google Chrome a Secure https//session.masteringphysics.com/myct/itemView?assignmentProblemlD 83650074 HwCh10 Problem 10 69 Problem 10.69 Part A In a physics lab experiment, a compressed spring launches a 29 g metal ball at a 35 angle. Compressing the spring 18 cm causes the ball to hit the loor 1.7 m below the point at which it leaves the spring after traveling 5.0 m horizontally What is the spring constant? Express your answer to two significant figures and include the appropriate units. Value Units Submit My Answers Give Up Incorrect; Try Again; 6 attempts remaining

Explanation / Answer

s = ut + 1/2 g t2

U = k

1/2 k s2 = 1/2 m v2

v2 = k s2 / m

vx = v * cos theta, vy = v * sin theta

t = x/vx

h = v sin theta * (x / v cos theta) + 0.5 * g * (x / v cos theta)2

2 ((k x2/m)cos2 theta)) * h = (2 * tan theta) x + g x2

k = g m x2 / [2 cos2 theta * s2 * (h - x tan theta)]

= [52 * 9.8 * 29 * 10-3] / [2 * cos2 35 * (18 * 10-2)2 * [-1.7 - 5 * tan 35]]

k = 31.42 N/m

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