Find the total energy of the oscillating system

Reference no: EM13275745

A 3.90-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 28.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations.

(a) Find the force constant of the spring.

N/m

(b) Find the frequency of the oscillations.

m/s

(d) Where does this maximum speed occur?

x =+- m

(e) Find the maximum acceleration of the object.

m/s2

(f) Where does the maximum acceleration occur?

x =+- m

(g) Find the total energy of the oscillating system.

(h) Find the speed of the object when its position is equal to one-third of the maximum value.

m/s

(i) Find the magnitude of the acceleration of the object when its position is equal to one-third of the maximum value.

Reference no: EM13275745

Questions Cloud

Find the angular frequency of the driven system : A 2.30-kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expression F = 3.50sin(2(3.14)t), Find the angular frequency of the driven system

Which project is riskier : Using the coefficient of variation criterion, which project is riskier? c) Which criterion do you think is appropriate to use in this case? Why?

Desing a logic circuit that implements a serial adder : Desing a logic circuit that implements a serial adder/subtracter with accumulator for a 6-bit binary number. you should use one of the imputs to select between the adder and the subtracter. Asumme that negative numbers are represented by 2's compl..

How to determine the structure of compound u : Determine the structure of compound U. Be sure to include a concise discussion of the reasoning. Construct tables summarizing the IR and 1H NMR data, and assign the peaks in the IR and NMR spectra to the appropriate structural elements in U. Expla..

Find the total energy of the oscillating system : A 3.90-kg object is attached to a spring and placed on frictionless, horizontal surface. Find the total energy of the oscillating system

Is the executive correct in predicting that roe will fall : a) Is the executive correct in predicting that ROE will fall? b)How important should changes in ROE be in this decision?

Which project should the company invest in : The firm's management is interested in reducing the variability of its earnings. A) Which project should the company invest in? B) What assumptions did you make to arrive at this decision?

Find out the moles of benzene that would be needed : Determine the moles of benzene that would be needed to completely react with 0.445 moles of oxygen

Determine the value of capacitor and inductance of coil : When placed in series a coil and capacitor resonate at a fequency of 2251Hz and when placed in parallel they resonate at a frequency of 2228Hz. At parallel resonance it is also found that a current of 0.005A flows from the supply when the supply i..

User Account

All Pages