Physics

Problem

For a horizontal spring–mass system, the amplitude of oscillation is doubled while the mass and spring constant remain the same. Which option correctly states the resulting changes in (i) maximum speed

v_{\text{max}}

, (ii) maximum acceleration

a_{\text{max}}

and (iii) total mechanical energy

E

? a)

v_{\text{max}}

doubles,

a_{\text{max}}

quadruples,

E

quadruples b)

v_{\text{max}}

quadruples,

a_{\text{max}}

doubles,

E

doubles c)

v_{\text{max}}

doubles,

a_{\text{max}}

doubles,

E

quadruples d)

v_{\text{max}}

doubles,

a_{\text{max}}

doubles,

E

doubles

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