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JEE Main Physics Class 11 Work, Energy and Power Part 1 Questions
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© examsnet.com
Question : 12
Total: 100
A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in a straight line. After 9 seconds, the body has moved a distance (in m) ________.
[5 Sep. 2020 (II)]
Your Answer:
Validate
Solution:
Given, Mass of the body, m = 2 kg
Power delivered by engine, P = 1 J/s
Time, t = 9 seconds
Power, P = Fv
⇒
P
=
m
a
v
[
∵
F
=
m
a
]
⇒
m
d
v
d
t
v
=
P
(
∵
a
=
d
v
d
t
)
⇒
v
d
v
=
P
m
d
t
Integrating both sides we get
⇒
v
∫
0
v
d
v
=
P
m
t
∫
0
d
t
⇒
v
2
2
=
P
t
m
⇒
v
=
(
2
P
t
m
)
1
∕
2
⇒
d
x
d
t
=
√
2
P
m
t
1
∕
2
(
∵
v
=
d
x
d
t
)
⇒
x
∫
0
d
x
=
√
2
P
m
t
∫
0
t
1
∕
2
d
t
∴
Distance,
x
=
√
2
P
m
t
3
∕
2
3
∕
2
=
√
2
P
m
×
2
3
t
3
∕
2
⇒
x
=
√
2
×
1
2
×
2
3
×
9
3
∕
2
=
2
3
×
27
=
18
© examsnet.com
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