A student measures the maximum speed of a block undergoing simple harmonic oscillations of amplitude A on the end of an ideal spring . If the block is replaced by one with twice the mass but the amplitude of its oscillations remains the same,then the maximum speed of the block will a. increase by a factor of 2 b. decrease by a factor of 2^1/2 c. decrease by a factor of 4 d. decrease by a factor of 2

Question

A student measures the maximum speed of a block undergoing simple harmonic oscillations of amplitude A on the end of an ideal spring . If the block is replaced by one with twice the mass but the amplitude of its oscillations remains the same,then the maximum speed of the block will a. increase by a factor of 2 b. decrease by a factor of 2^1/2 c. decrease by a factor of 4 d. decrease by a factor of 2

Answer 1

The correct answer is d. decrease by a factor of 2.When a block undergoes simple harmonic oscillations on the end of an ideal spring, the maximum speed of the block is given by the formula:v_max = Aωwhere A is the amplitude of the oscillations and ω is the angular frequency.The angular frequency ω is related to the mass m and the spring constant k by the formula:ω = √(k/m)Therefore, if the mass of the block is doubled, the angular frequency will decrease by a factor of √2. Since the amplitude remains the same, the maximum speed of the block will decrease by a factor of 2.

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