1. A ball of mass m 0.55 kg, starting from rest, falls a vertical distance h = 75.0 cm before striking a 15M O. vertically mounted spring, which is then compressed a distance = 14.5 cm. , 14 Sm a) Is the mechanical energy of the spring-mass system conserved? Explain. yes the mecha ical E is canserveD. Wnc =0 because the block ion'1 contact wl.surface. b) Derive the algebraic expression for the spring constant using the provided information. %3D • + mgki +ż Ky - ky²) = Ky2 hity: ot mghi = 2 (mg(h;+Y) 2mgchity) c) Calculate the spring constant. O + K = 2mg (hity) 0.995 %3D 93 K= 2mg (nity) 9.4451 459,887 K= 2(0.55) (9, $) (0.895) (6.145)2 o.021 submerged under oil and in a static

1. A ball of mass m 0.55 kg, starting from rest, falls a vertical distance h = 75.0 cm before striking a 15M O. vertically mounted spring, which is then compressed a distance = 14.5 cm. , 14 Sm a) Is the mechanical energy of the spring-mass system conserved? Explain. yes the mecha ical E is canserveD. Wnc =0 because the block ion'1 contact wl.surface. b) Derive the algebraic expression for the spring constant using the provided information. %3D • + mgki +ż Ky - ky²) = Ky2 hity: ot mghi = 2 (mg(h;+Y) 2mgchity) c) Calculate the spring constant. O + K = 2mg (hity) 0.995 %3D 93 K= 2mg (nity) 9.4451 459,887 K= 2(0.55) (9, $) (0.895) (6.145)2 o.021 submerged under oil and in a static