linear spring with a spring constant of k, which compresses from position x; to position Xf. m Part (a) Write a general expression for the force that the spring exerts on the mass, in term ofk and x. Choose the initial position of the front of the spring to be x=0. Expression : Fspring = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, t, x, Xf, Xi Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. MultipleChoice : 1) W = &, k x dx 2) W = - k x2 3) W = - k*rk x dx *rk x dx - ½ m v2 5) W = - kk x dx + ½ m v² - iFx dx 4) W = - %3D 6) W = - Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Expression: W = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, t, x, xf, Xi Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, x 22 cm, and k = 120 N/m. Numeric : A numeric value is expected and not an expression. W =
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.
Work and Kinetic Energy Q8: Please answer each part step by step and explain each step (even if minor) in detail please.
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