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Question
Physics
Imagine a system of units in which the unit of mass is 10 kg, length is 1 km and time is 1 min. Then 1 joule in this system is equal to
Q. Imagine a system of units in which the unit of mass is
10
k
g
, length is
1
km
and time is
1
min
. Then 1 joule in this system is equal to
5797
226
Physical World, Units and Measurements
Report Error
A
360
7%
B
3.6
×
1
0
−
4
48%
C
3.6
×
1
0
4
37%
D
3.6
8%
Solution:
n
1
u
1
=
n
2
u
2
⇒
n
2
(
n
2
n
1
)
u
1
=
(
M
2
M
1
)
1
(
L
2
L
1
)
2
(
T
2
T
1
)
−
2
u
1
=
(
10
k
g
1
k
g
)
(
1
km
1
m
)
2
(
1
min
1
s
)
−
2
×
1
=
10
1
×
1
0
−
6
×
60
×
60
=
36
×
1
0
−
5
=
3.6
×
1
0
−
4