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The work-energy theorem states that a force acting on a particle as it moves over a ______ changes the ______ energy of the particle if the force has a component parallel to the motion. C

User I Like
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Answer:

Distance and kinetic

Step-by-step explanation:

The work-energy theorem states that a force acting on a particle as it moves over a distance changes the kinetic energy of the particle if the force has a component parallel to the motion.

The work-energy theorem states:

"The work done by the force on a particle is equal to the change in the kinetic energy"

W = ΔKE

Lets prove it mathematically,

The work done is given by

W = F*d

From Newton's second law

F = ma

W = ma*d

From the equations of kinematics

Vf² = Vi² + 2ad

2ad = Vf² - Vi²

d = (Vf² - Vi²)/2a

W = ma*(Vf² - Vi²)/2a

a cancels out

W = 1/2m*(Vf² - Vi²)

W = 1/2mVf² - 1/2mVi²

W = ΔKE

Hence proved.

User Ali Ahmad
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