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A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant ?
- a)speed
- b)rate of change of acceleration
- c)kinetic energy
- d)rate of change of kinetic energy
Correct answer is option 'D'. Can you explain this answer?
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A particle is acted upon by a constant power. Then, which of the follo...
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A particle is acted upon by a constant power. Then, which of the follo...
Power=Rate of doing work=dw/dt
or P=dw/dt= Rate of change in KE
ie., P=dw/dt=d(KE)/dt= constant
so, when power is constant, rate of change of kinetic energy is also constant.
or P=dw/dt= Rate of change in KE
ie., P=dw/dt=d(KE)/dt= constant
so, when power is constant, rate of change of kinetic energy is also constant.
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A particle is acted upon by a constant power. Then, which of the follo...
Constant Power and its Effects
Power:
Power is defined as the rate at which work is done or energy is transferred. Mathematically, power is given by the equation:
Power = Work/Time
The SI unit of power is the watt (W), which is equal to one joule per second (J/s).
Constant Power:
When a particle is acted upon by a constant power, it means that the rate at which work is done or energy is transferred remains constant over time. In other words, the power being exerted on the particle does not change.
Effects on Different Physical Quantities:
Speed:
The speed of an object is defined as the rate at which it covers distance. When a particle is acted upon by a constant power, the speed of the particle will not remain constant. This is because the power being exerted on the particle is causing a continuous change in its kinetic energy, which in turn affects its speed.
Rate of Change of Acceleration:
The rate of change of acceleration, also known as jerk, is a measure of how quickly the acceleration of an object is changing. When a particle is acted upon by a constant power, the rate of change of acceleration will not remain constant. This is because the power being exerted on the particle affects its acceleration, causing it to change over time.
Kinetic Energy:
Kinetic energy is the energy possessed by an object due to its motion. When a particle is acted upon by a constant power, the kinetic energy of the particle will not remain constant. This is because the power being exerted on the particle is continuously transferring energy to it, resulting in a change in its kinetic energy.
Rate of Change of Kinetic Energy:
The rate of change of kinetic energy is a measure of how quickly the kinetic energy of an object is changing. When a particle is acted upon by a constant power, the rate of change of kinetic energy will remain constant. This is because the power being exerted on the particle is constant, and therefore the rate at which energy is transferred to the particle remains constant. As a result, the kinetic energy of the particle changes at a constant rate.
Therefore, the correct answer is option 'D' - rate of change of kinetic energy.
Power:
Power is defined as the rate at which work is done or energy is transferred. Mathematically, power is given by the equation:
Power = Work/Time
The SI unit of power is the watt (W), which is equal to one joule per second (J/s).
Constant Power:
When a particle is acted upon by a constant power, it means that the rate at which work is done or energy is transferred remains constant over time. In other words, the power being exerted on the particle does not change.
Effects on Different Physical Quantities:
Speed:
The speed of an object is defined as the rate at which it covers distance. When a particle is acted upon by a constant power, the speed of the particle will not remain constant. This is because the power being exerted on the particle is causing a continuous change in its kinetic energy, which in turn affects its speed.
Rate of Change of Acceleration:
The rate of change of acceleration, also known as jerk, is a measure of how quickly the acceleration of an object is changing. When a particle is acted upon by a constant power, the rate of change of acceleration will not remain constant. This is because the power being exerted on the particle affects its acceleration, causing it to change over time.
Kinetic Energy:
Kinetic energy is the energy possessed by an object due to its motion. When a particle is acted upon by a constant power, the kinetic energy of the particle will not remain constant. This is because the power being exerted on the particle is continuously transferring energy to it, resulting in a change in its kinetic energy.
Rate of Change of Kinetic Energy:
The rate of change of kinetic energy is a measure of how quickly the kinetic energy of an object is changing. When a particle is acted upon by a constant power, the rate of change of kinetic energy will remain constant. This is because the power being exerted on the particle is constant, and therefore the rate at which energy is transferred to the particle remains constant. As a result, the kinetic energy of the particle changes at a constant rate.
Therefore, the correct answer is option 'D' - rate of change of kinetic energy.
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A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant ?a)speedb)rate of change of accelerationc)kinetic energyd)rate of change of kinetic energyCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant ?a)speedb)rate of change of accelerationc)kinetic energyd)rate of change of kinetic energyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant ?a)speedb)rate of change of accelerationc)kinetic energyd)rate of change of kinetic energyCorrect answer is option 'D'. Can you explain this answer?.
A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant ?a)speedb)rate of change of accelerationc)kinetic energyd)rate of change of kinetic energyCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant ?a)speedb)rate of change of accelerationc)kinetic energyd)rate of change of kinetic energyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant ?a)speedb)rate of change of accelerationc)kinetic energyd)rate of change of kinetic energyCorrect answer is option 'D'. Can you explain this answer?.
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