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What is the displacement of an object in shm when the kinetic and potential energies are equal?
When the kinetic and potential energies of an object in simple harmonic motion (SHM) are equal, the object is at the amplitude of its motion. At this point, all of the energy is in the form of kinetic energy, and the displacement is equal to the amplitude of the oscillation.
On which property do the kinetic and potential energies of an object both always depend?
The kinetic and potential energies of an object both always depend on the object's mass.
What is the displacement in SHM when kinetic amd potential energies are equal?
In simple harmonic motion (SHM), the displacement is maximum when the kinetic and potential energies are equal. This occurs at the equilibrium position, where the object momentarily stops before changing direction. At this point, the total mechanical energy of the system is entirely in the form of potential energy.
How are potential energy and kinetic energy relayed to mechanical energy?
Potential energy is converted into kinetic energy when an object is in motion. As the object moves, kinetic energy is produced. Mechanical energy is the sum of potential and kinetic energies combined, reflecting the energy associated with the motion and position of an object.
When does an object possess mechanical energy?
An object possesses mechanical energy when it is in motion (kinetic energy) or when it is at a height above the ground (potential energy). The total mechanical energy of an object is the sum of its kinetic and potential energies.
What is the displacement of an object in shm when the kinetic and potential energies are equal?
When the kinetic and potential energies of an object in simple harmonic motion (SHM) are equal, the object is at the amplitude of its motion. At this point, all of the energy is in the form of kinetic energy, and the displacement is equal to the amplitude of the oscillation.
On which property do the kinetic and potential energies of an object both always depend?
The kinetic and potential energies of an object both always depend on the object's mass.
What is the displacement in SHM when kinetic amd potential energies are equal?
In simple harmonic motion (SHM), the displacement is maximum when the kinetic and potential energies are equal. This occurs at the equilibrium position, where the object momentarily stops before changing direction. At this point, the total mechanical energy of the system is entirely in the form of potential energy.
How is energy in potential and kinetic conserved?
For any object, the summation of its potential and kinetic energies is constant.
What is the amount of work an object can do because of the kinetic and potential energies of the object?
Mechanical Energy :)
Mechanical energy is the difference between the kinetic and potential energies of an object?
true
Why does a moving object gain mass?
Mass is the sum of energies, both kinetic and potential. As the velocity increases so does the kinetic energy of object.
How are potential energy and kinetic energy relayed to mechanical energy?
Potential energy is converted into kinetic energy when an object is in motion. As the object moves, kinetic energy is produced. Mechanical energy is the sum of potential and kinetic energies combined, reflecting the energy associated with the motion and position of an object.
When does an object possess mechanical energy?
An object possesses mechanical energy when it is in motion (kinetic energy) or when it is at a height above the ground (potential energy). The total mechanical energy of an object is the sum of its kinetic and potential energies.
What is the total kinetic energy and potential energy?
It is the sum of potential and kinetic energy.
The average of all kinetic energies of an object is its?
The average of all kinetic energies of an object is its kinetic energy. This is the energy an object possesses due to its motion. It is directly proportional to the mass and the square of the velocity of the object.
What is the displacement of an object is SHM when kinetic and potential energies are equal?
In **simple harmonic motion (SHM)**, the **kinetic energy (KE)** and **potential energy (PE)** of the system vary with time, but their **sum is constant** (the total mechanical energy). We are asked to find the **displacement** of the object when: > **Kinetic energy = Potential energy** **Key Idea:** In SHM, the expressions for energies are: **Total energy, ( E = \frac{1}{2}kA^2 )** **Kinetic energy, ( KE = \frac{1}{2}k(A^2 - x^2) )** **Potential energy, ( PE = \frac{1}{2}kx^2 )** Where: ( k ) = spring constant, ( A ) = amplitude, ( x ) = displacement from equilibrium. **Step-by-step:** Set ( KE = PE ): [ \frac{1}{2}k(A^2 - x^2) = \frac{1}{2}kx^2 ] Cancel out ( \frac{1}{2}k ): [ A^2 - x^2 = x^2 ] [ A^2 = 2x^2 ] [ x^2 = \frac{A^2}{2} ] [ x = \pm \frac{A}{\sqrt{2}} = \pm \frac{\sqrt{2}}{2}A ] ✅ **Final Answer:** > The displacement is: > [ > x = \pm \frac{A}{\sqrt{2}} = \pm 0.707A > ] At this displacement, the kinetic and potential energies are **equal**.
