Civil Engineering MCQAE Level Civil Engineering

The work-energy theorem for a particle states that:

Engineering MechanicsWork Energy TheoremMEDIUM

Choose the correct answer

A

The net work done on a particle equals the change in its potential energy

B

The net work done by all forces on a particle (W_net) equals the change in kinetic energy (KE_2 - KE_1 = 0.5 m v2^2 - 0.5 m v1^2)

C

Work equals force times time

D

Kinetic energy equals weight times height

Correct Answer

B. The net work done by all forces on a particle (W_net) equals the change in kinetic energy (KE_2 - KE_1 = 0.5 m v2^2 - 0.5 m v1^2)

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Work-energy theorem: W_net = Delta KE = 0.5m(v2^2 - v1^2). This is derived from Newton second law integrated over displacement. For conservative systems: KE + PE = constant (energy conservation). Non-conservative forces (friction) convert mechanical energy to heat: W_nc = Delta(KE + PE).

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