Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component F₂ = kx ba² + c³ must be applied to the free end. Here k = 100 N/m, b = 700 N/m², and c = 12,000 N/m³. Note that a > 0 when the spring is stretched and x < 0 when it is compressed. Part A How much work must be done to stretch this spring by 0.050 m from its unstretched length? Express your answer in joules. IVE ΑΣΦ W = Submit Part B W = Request Answer Submit How much work must be done to compress this spring by 0.050 m from its unstretched length? Express your answer in joules. IVE ΑΣΦ ? Request Answer J ? J
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
A spring which is following the relation: is stretched and compressed by a distance 0.050 m, we need to determine the work done in both compression and extension of the spring.
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