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Physics
A particle of mass m starts moving from origin along x-axis and its velocity varies with position (x) as v=k √x. The work done by force acting on it during first t'' seconds is
Q. A particle of mass
m
starts moving from origin along
x
-axis and its velocity varies with position
(
x
)
as
v
=
k
x
. The work done by force acting on it during first "t''$ seconds is
11615
168
Work, Energy and Power
Report Error
A
4
m
k
4
t
2
B
2
m
k
2
t
C
8
m
k
4
t
2
D
4
m
k
2
t
2
Solution:
v
=
k
x
Square both sides
v
2
=
k
2
x
...(1)
v
2
=
(
0
)
2
+
2
a
x
...(2)
Compare (1) and (2)
2
a
=
k
2
a
=
2
k
2
Displacement
x
=
2
1
a
t
2
=
2
1
2
k
2
t
2
W
=
F
x
=
ma
x
=
2
m
k
2
⋅
2
1
2
k
2
t
2
=
8
m
k
4
t
2