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AIIMS 2018 May 26 Physics Evening Question Paper with solutions for online practice
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© examsnet.com
Question : 3
Total: 40
A cart of mass 150 kg is pulled horizontally on a frictionless surface with force 10 N. If 100 g/s sand is being dropped in the cart vertically then find the speed of the system when cart has 100 kg sand in it.
10 m/s
20 m/s
40 m/s
50 m/s
Validate
Solution:
F
−
µ
v
=
m
d
v
d
t
here
m
=
m
0
+
µ
t
t
∫
0
d
t
m
0
+
µ
t
=
v
∫
0
d
v
F
−
µ
v
ln
|
1
+
µ
t
m
0
|
=
−
ln
|
1
−
µ
v
F
|
v
=
F
t
M
0
+
µ
t
Now,
F
=
10
N
M
0
=
150
kg
,
µ
=
100
×
10
−
3
kg
∕
s
=
0.1
kg
∕
s
,
t
=
1000
s
v
=
10
×
1000
150
+
100
v = 40 m/s
© examsnet.com
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