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NTSE Stage 2 SAT 2018 Exam Question Paper
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© examsnet.com
Question : 34
Total: 100
Three balls A, B and C of same size but of different masses, are thrown with the same speed from the roof of a building, as shown in figure. Let
v
A
,
v
B
and
v
C
be the respective speeds with which the balls A, B, and C hit the ground. Neglecting air resistance, which one of the following relations is correct?
v
A
>
v
C
>
v
b
v
C
>
v
A
>
v
B
v
A
>
v
B
>
v
C
v
A
=
v
B
=
v
c
Validate
Solution:
Let u is the initial velocity at height H.
By conservation of Mechanical energy.
For ball A:
1
2
m
u
2
+
m
g
h
=
1
2
m
v
A
2
→
V
A
=
√
u
2
+
2
g
H
For ball B
;
1
2
m
u
2
+
m
g
h
=
1
2
m
v
B
2
⇒
V
B
=
√
u
2
+
2
g
H
For ball C:
1
2
m
u
2
+
m
g
h
=
1
2
m
v
C
2
⇒
V
C
=
√
u
2
+
2
g
H
Clearly
V
A
=
V
B
=
V
C
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