Question

A 170 g mass attached to a horizontal spring oscillates at a frequency of 3.10 Hx. Att=0s, the mass is at 6.00 cm and has , - 42.0 cm/s. Determine: The maximum speed Express your answer to three significant nd include of op units. OP OO Value Units Submit Request Answer Part F The maximum acceleration. Express your answer to three significant figures and include the appropriate units. ? MAO Value Units Submit Request Answer

Answer 1

Angular frequency of the oscillations are: w = 27Ty = 277 (3.10Hz) = 19.477rad/s The velocity at a certain di splacement during simple harmonic motion of object is, Rearrange the above equation for amplitude(A). 42 cm/ s 2 19.477 rad's +(6cm) * 6.3757 cm (e) Maximum speed: Y = Am = ( 6.3757 cm) (19.477 rad/s) 124cm/s (or) 1.24 m/s * → Three significant figures Maximum acceleration : 01.x = Ama = ( 6.3757cm) (19.477 rad/s) 24.2m/s (or) 2.42x10 cm/s * Three significant figures Total energy: TE=mm = (0.17kg)(1.24m/s)? =0.131J * Three significant figures Position of the object at t=4.40s y=Acos(@t+) here ø=cos* (4)=c05 ( 10.345 rad Therefore, y=(6.3757cm) cos((19.477rad's) (4.40 s)+0.345 rad) = -2.19cm * → Three significant figures