Let there be a mass M = 0.5 kg on a spring.a) If we can hang the mass on the spring in a vertical position, how can we measure the springconstant, k, of the spring?Now we use this same spring in the horizontal configuration, assuming the mass slides on africtionless horizontal surface.b) Assuming we have measured k to be 10 N/m, how many times will the system oscillate in aminute? (assume we displace the mass from equilibrium so that the system oscillates)c) If the mass passes through the equilibrium position with a velocity vo at time t = 0, what isthe amplitude of the oscillation?d) Write the equation for the horizontal displacement of the block as a function of time.

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