2h h 1. A block is initially positioned on a smooth ramp at a height h. The block is released and slides down until it hits a spring and compresses the spring a maximum distance of x as shown in the diagram above. A student believes that if the block is lifted to a height of 2h and released, then the spring will be compressed to a maximum distance of 2x because increasing the gravitational potential energy increases the elastic potential energy. a. Which aspects of the student's reasoning, if any, are correct? Explain how you arrived at your answer. b. Which aspects of the student's reasoning, if any, are incorrect? Explain how you arrived at your answer. c. Develop an expression for the new distance the spring is compressed, x'. Express your answer in terms of x. d. Instead of the block starting from h hitting the spring directly, it first hits another identical block and the two blocks stick together before they hit the spring. Will the spring be compressed more than, less than or the same as it was before the second block was added? more than less than the same - Explain your reasoning.
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.
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