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12. DETAILS OSCALC1 6.5.239. A force of F = 10x - x3 N stretches a nonlinear...
12. [-/1 Points) DETAILS OSCALC1 15.2.078-079.WA.TUT. Calculate the double integral of f(x,y) over the triangle in the figure below. Rx, y) = 100x² 5 الما 2 2 3 Submit Answer Viewing Saved Work Revert to Last Response
SF-2 The force required to stretch Force (N) (elongate) a spring is shown in the graph to the right. a) Find the spring constant K for b) The work required to stretch the 40 35 30 25 this spring. spring an infinitesimal distance dx is given by: dWk-Fdx where F-Kx. Do the integral to find an expression for the work required to stretch the spring from elongation xi to elongation x2. c) Find the work in joules to stretch 15...
A bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x3, where x is the distance the cord is stretched, k1 = 203 N/m and k2 = −0.220 N/m3. How much work (in kJ) must be done on the cord to stretch it 15.0 m? _? kJ
3. A force of 200 N stretches a spring How far would this spring stretch with a force of 100 N applied to i? 30 cm. What is the spring constant of the spring? 4. A 20 kg box is attached to a compressed spring that has a spring constant of 300 N'm. The box is resting on a frictionless surface and the spring is compressed 30 cm a. What is the EPE of the spring? b. What will be...
You have a light spring which obeys Hooke's law. This spring stretches 2.24 cm vertically when a 3.00 kg object is suspended from it. Determine the following. (a)the force constant of the spring (in N/m) N/m (b)the distance (in cm) the spring stretches if you replace the 3.00 kg object with a 1.50 kg object cm (c)the amount of work (in J) an external agent must do to stretch the spring 7.90 cm from its unstretched position J
A bungee cord exerts a nonlinear elastic force of magnitude F(x) = 192.1x + -0.13x^3 where x is the distance the cord is stretched. How much work must be done on the cord to stretch it 18.5 m? Enter your answer in kJ to the tenth's place
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
A 35.0 N force stretches a vertical spring 0.350 m. Part A What mass must be suspended from the spring so that the system will oscillate with a period of 1.00 s? Express your answer with the appropriate units. MÅ O O ? m = Value Units Submit Request Answer Part B If the amplitude of the motion is 5.0x10-2 m and the period is that specified in part A, where is the object and in what direction is it...
021 (part 1 of 2) 10.0 points The force required to stretch a Hooke's-law spring varies from 0 N to 69.3 N as we stretch the spring by moving one end 9.11 cm from its unstressed position. Find the force constant of the spring Answer in units of N/m. 022 (part 2 of 2) 10.0 points Find the work done in stretching the spring Answer in units of J.
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offer a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of 0.2m/sec a) Find the equation for the position if the system is exerted by an external force of f(t) = 4 cost. b)...