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A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15...

A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x = 8 cm from the equilibrium position.

(a) What is the frequency of the oscillations of the object?

(b) Determine the maximum speed of the cart.

(c) Find the maximum acceleration of the mass

(d) How much total energy does this oscillating system contain?

(e) Express the displacement as a function of time using a cosine function.

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Answer #1

Given, mass of the object, m= 2.5kg spring constant, k = 15 N/m amplitude of oscillation, a = 8 cm = 0.08 m (a) The frequency(d) Total energy contained this oscillat illating system is £mwa зхк. ² x 15x0.08% 11 = 0.048 J (0) The displacement of the oThanks

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