Chec Required information A 2.90-kg block is released from rest and allowed to slide down a frictionless surface and into a spring. The far end of the spring is attached to a wall, as shown. The initial height of the block is 0.500 m above the lowest part of the slide and the spring constant is 463 N/m, The spring sends the block back to the left. How high does the block rise? Em
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.
![**Physics Problem: Spring and Block Dynamics**
A 2.90 kg block is released from rest and allowed to slide down a frictionless surface and into a spring. The spring is attached to a wall, as shown in the diagram. The initial height of the block is 0.500 m above the lowest part of the slide, and the spring constant is 463 N/m.
**Task:**
Calculate how high the block rises after being sent back by the spring. Use the principles of energy conservation to solve the problem.
- **Diagram Explanation**: The image shows a ramp with a block on top of it and a spring located at the bottom. The spring compresses when the block comes down and then pushes the block back upward.
- **Question:**
- The spring sends the block back to the left. How high does the block rise?
**Note:**
To solve this problem, consider using energy conservation equations, equating potential and kinetic energy at various points along the block’s path, and the energy stored in the spring.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d5b315-251b-4afc-ade8-02046d912aca%2Fbb52cf6b-f9e3-4f2c-a2c3-b91a95714d77%2Fiepc5xk_processed.jpeg&w=3840&q=75)
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