Example 15.3Oscillations on a Horizontal SurfaceA 1.50-kg cart connected to a light spring forwhich the force constant is 22.5 N/m oscillates onmaxa frictionless, horizontal air track.(A) Calculate the maximum speed of the cart if theamplitude of the motion is 3.00 cm.max(B) What is the velocity of the cart when theposition is 2.00 cm?amax(C) Compute the kinetic and potential energies ofthe system when the position of the cart is2.00 cm.VmaxSOLVE IT(A) Calculate the maximum speed of the cart if theamplitude of the motion is 3.00 cm.amaxConceptualize The system oscillates in exactlythe same way as the block in the figure.Categorize The cart is modeled as a particle insimple harmonic motion.-A-ASeveral instants in the simple harmonic motion fora block-spring system.Analyze Use the equation to express theE -a? -mmaxtotal energy of the oscillator system andequate it to the kinetic energy of thesystem when the cart is at x = 0:Solve for the maximum speed:V max =m/sMacBook PrOesc#3$%3.4QWERYT

Given data : Mass of cart m = 1.50 kg Spring constant k = 22.5 N/m Amplitude A = 3 cm = 3 × 10-2…

Answered: Example 15.3 Oscillations on a…

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