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1)A 100 g ball attached to a spring with spring constant 2.50 N/m oscillates horizontally on a frictionless table

1)A 100 g ball attached to a spring with spring constant 2.50 N/m oscillates horizontally on a frictionless table. Its velocity is 20.0 cm/s when x = -5.00 cm.
a) What is the amplitude of oscillation?
b) What is the speed of the ball when x = 3.00 cm?
I would just like the necessary work to arrive at the solution and all formulas used to get the answer.
wave physics   quantum physics   
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Answer #1

PREPARE: Given the force constant, k = 2.50 N/m. Also given v = 20 cm/s when x = -5 cm. and mass of the ball is , angular frequency

SOLVE: amplitude of the ball at is

(a) We have, velocity,

Squaring on both sides

(b) Speed of the ball at

=

Assess: the speed of the ball at x = 3.00cm is 28.3cm/s

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