50 4. WORK AND ENERGY OF PARTICLES
Undeformed Spring
P
0
x
1
x
P
1
P
O
O
O
P
2
F
⃑
x
2
Figure 4.4: Block connected by undeformed spring undergoing extension.
4.4 KINETIC ENERGY OF A PARTICLE AND PRINCIPLE
OF WORK AND ENERGY
In this section kinetic energy of a particle in translation is considered. Suppose a particle of mass
m moves along a path (rectilinear or curved) and is acted on by a force
*
F , as shown in Figure 4.5.
P
1
P
2
F
⃑
F
⃑
t
F
⃑
n
m
α
Figure 4.5: A particle moves along a path and is acted on by a force.
With reference to Figure 4.5, one may write Newton’s second law in terms of the tangential
component of the force as
F
t
D m a
t
D m
dv
dt
;
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