A 3×10^3 kg vehicle travelling towards East at 2.5 m/s hits a hoarding of mass 2x10^2 kg and gets stuck to it. Find the new velocity of the vehicle after the hit.
a) 23.4 m/s to West b) 2.34 m/s to East
c) 1.3 m/s to East d) 3.75 m/s to East
Answers
Answered by
0
Answer:
Explanation:Correct option is
B
4/
2
m/s,45
∘
with main road
The given situation can be shown as
Total momentum before impact
=p
C
+p
L
=∣p
C
+p
L
∣
=
p
C
2
+P
L
2
=
(2×10
3
×20)
2
+(8×10
3
×5)
2
=40×10
3
2
kg m/s
Direction of momentum with main road
tanθ=
p
C
p
L
=
40×10
3
8×10
3
×5
=1
⇒θ=45
∘
By the law of conservation of linear momentum,
10
3
×40
2
=(2×10
3
+8×10
3
)v
⇒v=4
square root2
m/s.
Similar questions