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Physics
Problem
Measurements give
A
=
5.0
cm
±
0.1
cm
A = 5.0\,\text{cm} \pm 0.1\,\text{cm}
A
=
5.0
cm
±
0.1
cm
,
B
=
3.0
cm
±
0.2
cm
B = 3.0\,\text{cm} \pm 0.2\,\text{cm}
B
=
3.0
cm
±
0.2
cm
and
C
=
2.00
cm
±
0.05
cm
C = 2.00\,\text{cm} \pm 0.05\,\text{cm}
C
=
2.00
cm
±
0.05
cm
. Calculate
Z
=
(
A
−
B
)
C
Z = (A-B)C
Z
=
(
A
−
B
)
C
along with its absolute uncertainty, expressed in the form
Z
±
Δ
Z
Z \pm \Delta Z
Z
±
Δ
Z
. a)
4.00
cm
2
±
0.54
cm
2
4.00\,\text{cm}^{2} \pm 0.54\,\text{cm}^{2}
4.00
cm
2
±
0.54
cm
2
b)
10.0
cm
2
±
0.70
cm
2
10.0\,\text{cm}^{2} \pm 0.70\,\text{cm}^{2}
10.0
cm
2
±
0.70
cm
2
c)
4.0
cm
2
±
0.70
cm
2
4.0\,\text{cm}^{2} \pm 0.70\,\text{cm}^{2}
4.0
cm
2
±
0.70
cm
2
d)
4.00
cm
2
±
0.22
cm
2
4.00\,\text{cm}^{2} \pm 0.22\,\text{cm}^{2}
4.00
cm
2
±
0.22
cm
2
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