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A particle of mass M is subjected to a force f=f (cos (theta)i^ +sin (theta)j^)find the kinetic energy of the particle as a function of time.
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A particle of mass M is subjected to a force f=f (cos (theta)i^ +sin ...
Calculating the Kinetic Energy of a Particle
The kinetic energy of a particle can be determined by integrating the work done on the particle by the force. In this case, the force acting on the particle is given by f = f (cos(theta)i^ + sin(theta)j^).
Calculating Work Done
To calculate the work done by the force on the particle, we can use the formula:
W = ∫F⋅ds
Where F is the force vector and ds is the displacement vector.
Calculating Kinetic Energy
The work done by the force will be equal to the change in kinetic energy of the particle. Therefore, the kinetic energy of the particle as a function of time can be expressed as:
KE(t) = KE(0) + ∫F⋅ds
Integrating the Force
To integrate the force F = f (cos(theta)i^ + sin(theta)j^), we need to express the displacement vector ds in terms of time. This will allow us to calculate the work done and hence the change in kinetic energy.
Final Expression for Kinetic Energy
By integrating the force and calculating the work done on the particle, we can determine the kinetic energy of the particle as a function of time. This expression will depend on the initial kinetic energy of the particle and the specific form of the force acting on it.
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A particle of mass M is subjected to a force f=f (cos (theta)i^ +sin (theta)j^)find the kinetic energy of the particle as a function of time.
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A particle of mass M is subjected to a force f=f (cos (theta)i^ +sin (theta)j^)find the kinetic energy of the particle as a function of time. for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle of mass M is subjected to a force f=f (cos (theta)i^ +sin (theta)j^)find the kinetic energy of the particle as a function of time. covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass M is subjected to a force f=f (cos (theta)i^ +sin (theta)j^)find the kinetic energy of the particle as a function of time..
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