Tripling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of
1 answer:
Answer:
acceleration will be tripled.
Explanation:
We know, when an object is performing Simple harmonic motion, the force
experience by it is directly proportional to its displacement from its mean position.
Also, F = ma , therefore, acceleration is also proportional to its displacement .
Now, F = kx
Therefore,
If we triple the displacement i.e, 3x.
Acceleration
Therefore, acceleration is also tripled.
Hence, this is the required solution.
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Answer:
The value of the potential energy of the particle at point B is 85 joules.
Explanation:
According to the Principle of Energy Conservation, the energy cannot be created nor destroyed, only transformed. The particle at point A has kinetic and potential energy and receives a work due to an external conservative force (Work-Energy Theorem), whose sum is equal to potential energy at point B. Mathematically speaking, the expression that describes the phenomenon is:
Where:
- Kinetic energy at point A, measured in joules.
- Potential energy at point A, measured in joules.
- Work due to conservative force from A to B, measured in joules.
- Potential energy at point B, measured in joules.
The initial kinetic energy of the particle is:
Where:
- Mass, measured in kilograms.
- Velocity, measured in meters per second.
If and
, then:
Finally, the value of the potential energy at point B is:
The value of the potential energy of the particle at point B is 85 joules.