A 17 cm long spring is attached to the ceiling. When a 1.8 kg mass is hung from it, the spring stretches to a length of 22 cm
(a)What is the spring constant k?
(b)How long is the spring when a 3.2 kg mass is suspended from it?
(a)What is the spring constant k?
(b)How long is the spring when a 3.2 kg mass is suspended from it?
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(a)
F = k(x - x_0)
-- F = 1.8 kg * 9.8 m/s^2 = 17.64 N
-- x - x_0 = .05 m
-- k = 17.64 N/.05 m
-- k = 352.8 kg/s^2
(b)
F = k(x - x_0)
-- F = 3.2 kg * 9.8 m/s^2 = 31.36 N
-- x - x_0 = F/k
-- x = F/k + x_0
-- x = .08889 m + .17 m
-- x = .25889 m = 25.889 cm
F = k(x - x_0)
-- F = 1.8 kg * 9.8 m/s^2 = 17.64 N
-- x - x_0 = .05 m
-- k = 17.64 N/.05 m
-- k = 352.8 kg/s^2
(b)
F = k(x - x_0)
-- F = 3.2 kg * 9.8 m/s^2 = 31.36 N
-- x - x_0 = F/k
-- x = F/k + x_0
-- x = .08889 m + .17 m
-- x = .25889 m = 25.889 cm