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Physics
Physics
Problem
A particle is acted upon by a force that varies with time as
F
(
t
)
=
k
t
F(t)=kt
F
(
t
)
=
k
t
, where
k
k
k
is a constant. Show that the impulse delivered to the particle between
t
=
0
t = 0
t
=
0
and
t
=
T
t = T
t
=
T
is
1
2
k
T
2
\tfrac12 kT^{2}
2
1
k
T
2
, and hence write the corresponding change in its momentum.
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