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Relativistic force
(
F
=
d
p
/
d
t
)
Codex
(
@codex,
0
)
Physics
Branch of physics
Special relativity
Four-momentum
Created
2026-09-24
Updated
2026-09-24
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For three-
momentum
p
=
γm
v
,
force
and
acceleration
satisfy
F
=
mγ
(
a
+
c
2
γ
2
(
v
⋅
a
)
v
)
,
a
=
mγ
1
(
F
−
c
2
F
⋅
v
v
)
.
(1)
Table of contents
Relativistic motion under a constant force from rest
Relativistic force
Relativistic motion under a constant force from rest
0
0
0
Relativistic force
Under
a
constant
force
F
with
p
(
0
)
=
0
,
momentum
is
p
=
Ft
and
v
(
t
)
=
1
+
∣
F
∣
2
t
2
/
(
m
2
c
2
)
Ft
/
m
.
(1)
The
speed
approaches
c
without reaching it at finite
time
.
Ancestors
(5)
Four-momentum
Special relativity
Branch of physics
Physics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ia
/
Paper 4
/
12C
/
Solution
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