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The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as?
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The kinetic energy 'K' of a particle moving in a straight line depends...
Explanation:
To determine the force acting on the particle, we need to differentiate the kinetic energy formula with respect to distance.
Given:
Kinetic energy (K) = as^2
Differentiating K with respect to s, we get:
dK/ds = d(as^2)/ds
To differentiate as^2, we apply the power rule of differentiation.
The power rule states that if y = ax^n, then dy/dx = anx^(n-1).
Applying the power rule, we differentiate as^2:
d(as^2)/ds = 2as
Therefore, the force acting on the particle is 2as.
Summary:
- Kinetic energy (K) of a particle moving in a straight line depends on the distance traveled (s) and is given by K = as^2.
- To find the force acting on the particle, we differentiate the kinetic energy formula with respect to distance.
- Differentiating as^2 using the power rule, we get d(as^2)/ds = 2as.
- Hence, the force acting on the particle is 2as.
To determine the force acting on the particle, we need to differentiate the kinetic energy formula with respect to distance.
Given:
Kinetic energy (K) = as^2
Differentiating K with respect to s, we get:
dK/ds = d(as^2)/ds
To differentiate as^2, we apply the power rule of differentiation.
The power rule states that if y = ax^n, then dy/dx = anx^(n-1).
Applying the power rule, we differentiate as^2:
d(as^2)/ds = 2as
Therefore, the force acting on the particle is 2as.
Summary:
- Kinetic energy (K) of a particle moving in a straight line depends on the distance traveled (s) and is given by K = as^2.
- To find the force acting on the particle, we differentiate the kinetic energy formula with respect to distance.
- Differentiating as^2 using the power rule, we get d(as^2)/ds = 2as.
- Hence, the force acting on the particle is 2as.
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The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as?
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The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as?.
The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The kinetic energy 'K' of a particle moving in a straight line depends up on the distance 's' as K=as square, force acting on the particle is ??? Ans; 2as?.
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