A metallic laboratory spring is typically 5.00 cmcm long and 0.150 cmcm in diameter and has 50 coils. Part A If you connect such a spring in an electric circuit, how much self-inductance must you include for it if you model it as an ideal solenoid? Express your answer to three significant figures and include the appropriate units.

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)