Afisherman’s scale stretches 3.3 cm when a 2.6-kg fish hangs from it. the fish is pulled down 2.5 cm more and released so that it oscillates up and down with a simple harmonic motion (shm). ? (a) what is the spring stiffness constant? (b) what is be the amplitude? (c) what is the period and frequency of oscillations?

(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.)