Uncompressed, the spring for an automobile suspension is 40 cm long. It needs to

ID: 1864072 • Letter: U

Question

Uncompressed, the spring for an automobile suspension is 40 cm long. It needs to be fitted into a space 34 cm long.

Part A

Part complete

If the spring constant is 3.9 kN/m , how much work does a mechanic have to do to fit the spring?

Express your answer using two s

Uncompressed, the spring for an automobile suspension is 40 cm long. It needs to be fitted into a space 34 cm long.

Part A

Part complete

If the spring constant is 3.9 kN/m , how much work does a mechanic have to do to fit the spring?

Express your answer using two s

here,

intial length of spring , l = 40 cm = 0.4 m

compression in the spring , x = l - 0.34 m = 0.06 m

spring constant , K = 3.9 KN/m = 3900 N/m

the work done required , W = change in potential energy of spring

W = 0.5 * K * x^2

W = 0.5 * 3900 * 0.06^2 J

W = 7.02 J

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