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Class 11 NEET Physics Laws of Motion Questions
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© examsnet.com
Question : 26
Total: 75
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of
12
m
s
−
1
and the second part of mass 2 kg moves with
8
m
s
−
1
speed.If the third part flies off with
4
m
s
−
1
speed,then it mass is
(2013 NEET)
7 kg
17 kg
3 kg
5 kg
Validate
Solution:
The situation is as shown in the figure.
According to law of conservation of linear momentum
→
p
1
+
→
p
2
+
→
p
3
=
0
∴
→
p
3
=
−
(
→
p
1
+
→
p
2
)
Here,
→
p
1
=
(
1
k
g
)
(
12
m
s
−
1
)
∧
i
=
12
∧
i
k
g
m
s
−
1
→
p
2
=
(
2
k
g
)
(
8
m
s
−
1
)
∧
j
=
16
∧
j
k
g
m
s
−
1
∴
→
p
3
=
−
(
12
∧
i
+
16
∧
j
)
k
g
m
s
−
1
The magnitude of
p
3
is
p
3
=
√
(
12
)
2
+
(
16
)
2
=
20
k
g
m
s
−
1
∴
m
3
=
p
3
v
3
=
20
k
g
m
s
−
1
4
m
s
−
1
=
5
k
g
© examsnet.com
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