A box of mass 0.850 kg is attached to a spring with k = 145 N/m and set into simple harmonic motion on a frictionless, horizontal table. The amplitude of motion is 5.10 cm. (Use the exact values you enter in previous answer(s) to make later calculation(s).) (a) What is the total energy of the box–spring system? ______ J (b) What is the speed of the box when the spring is compressed by 2.00 cm? (Give your answer to at least two decimal places.) ______m/s (c) What is the kinetic energy of the box at this position? ______ J (d) What is the potential energy of the box–spring system at this position? ______ 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 box of mass 0.850 kg is attached to a spring with k = 145 N/m and set into
(a) What is the total energy of the box–spring system? ______ J
(b) What is the speed of the box when the spring is compressed by 2.00 cm? (Give your answer to at least two decimal places.) ______m/s
(c) What is the kinetic energy of the box at this position? ______ J
(d) What is the potential energy of the box–spring system at this position? ______ J
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