Answer to Question 6

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(a) Formula first: v2 = (2pf )2(A2 x2)
 
Maximum velocity occurs when the displacement is zero 
 
v2 = (2 p 2.66 Hz)2 ([0.45 m2] 0) 
 
=  (16.71 Hz)2 0.2025 m2
 
 = 56.5 m2 s-2
 
v = 7.52 m s-1  
 
(b) Max Ek = mv2 = 0.6 kg (7.52 m s-1)2  
 
= 17 J
 
(c) It is transferred to the surroundings as heat.