An object with mass m is moving in SHM. It has amplitudeA1 and total mechanical energy E1 when the spring has force constant k1.You want to quadruple the total mechanical energy, so E2 = 4E1, andhalve the amplitude, so A2 = A1/2, by using a different spring, one withforce constant k2. (a) How is k2 related to k1? (b) What effect will thechange in spring constant and amplitude have on the maximum speed ofthe moving object?

An object with mass m is moving in SHM. It has amplitudeA1 and total mechanical energy E1 when the spring has force constant k1.You want to quadruple the total mechanical energy, so E2 = 4E1, andhalve the amplitude, so A2 = A1/2, by using a different spring, one withforce constant k2. (a) How is k2 related to k1? (b) What effect will thechange in spring constant and amplitude have on the maximum speed ofthe moving object?

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