A-particle-of-mass-0-25kg-vibrates-with-a-period-of-2secs-If-its-greatest-displacement-is-0-4m-What-is-its-maximum-kinetic-energy-

Question Number 166929 by MathsFan last updated on 02/Mar/22

A p a r t i c l e o f m a s s 0.25 k g v i b r a t e s

w i t h a p e r i o d o f 2 s e c s . I f i t s

g r e a t e s t d i s p l a c e m e n t i s 0.4 m . W h a t

i s i t s m a x i m u m k i n e t i c e n e r g y .

Answered by mr W last updated on 02/Mar/22

ω = \frac{2 π}{T}

{K E}_{m a x} = \frac{{m v}_{m a x}^{2}}{2}

= \frac{m {(ω s_{m a x})}^{2}}{2}

= \frac{m}{2} {(\frac{2 π s_{m a x}}{T})}^{2}

= \frac{0.25}{2} \times {(\frac{2 π \times 0.4}{2})}^{2} = 0.1974 J

Commented by MathsFan last updated on 02/Mar/22

t h a n k y o u c h a m p i o n