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Key Equations

Net external force Fnet=F=F1+F2+Fnet=F=F1+F2+
Newton’s first law v=constant whenFnet=0Nv=constant whenFnet=0N
Newton’s second law, vector form Fnet=F=maFnet=F=ma
Newton’s second law, scalar form Fnet=maFnet=ma
Newton’s second law, component form Fx=max,Fy=may,andFz=maz.Fx=max,Fy=may,andFz=maz.
Newton’s second law, momentum form Fnet=dpdtFnet=dpdt
Definition of weight, vector form w=mgw=mg
Definition of weight, scalar form w=mgw=mg
Newton’s third law FAB=FBAFAB=FBA
Normal force on an object resting on a
horizontal surface, vector form
N=mgN=mg
Normal force on an object resting on a
horizontal surface, scalar form
N=mgN=mg
Normal force on an object resting on an
inclined plane, scalar form
N=mgcosθN=mgcosθ
Restoring force by a spring displaced by
x from the relaxed position
F=kx.F=kx.
Tension in a cable supporting an object
of mass m at rest, scalar form
T=w=mgT=w=mg
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