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Uncompressed, the spring for an automobile suspension is 50 cm long. It needs to

ID: 1334691 • Letter: U

Question

Uncompressed, the spring for an automobile suspension is 50 cm long. It needs to be fitted into a space 36 cm long. If the spring constant is 3.4kN/m, how much work does a mechanic have to do to fit the spring? Uncompressed, the spring for an automobile suspension is 50 cm long. It needs to be fitted into a space 36 cm long. If the spring constant is 3.4kN/m, how much work does a mechanic have to do to fit the spring? Uncompressed, the spring for an automobile suspension is 50 cm long. It needs to be fitted into a space 36 cm long. If the spring constant is 3.4kN/m, how much work does a mechanic have to do to fit the spring?

Explanation / Answer

W = SPEpressed - SPErelax

SPErelax = 0,

Work done = SPEpressed = 1/2*k*(L - L0)^2
Where,
k = 3.9 kN/m
L = 50 cm = 0.5 m
Lo = 36 cm = .36 m

W = 0.5*3.4 *10^3 *(0.5 - 0.36)^2
W =  33.32 J

Work mechanic have to do to fit the spring, W = 33.32 J