find the velocity vector of magnitude 10m/s in the direction of x axis
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Answer:
R
=
A
+
B
ACCORDING TO THE GIVEN PROBLEM, OBJECT B IS MOVING WITH VELCITY V
B
MAKING ANGLE WITH OBJECT A WHICH IS MOVING WITH VELCITY V
A
AND THE ANGLE BETWEEN THEM IS 60
0
,
NOW THE CONCEPT OF RELATIVE VELOCITY IMPLIES THAT THE VELOCITY OF B WITH RESPECT TO A IS GIVEN BY THE FOOLOWING :
V
B
′
=V
B
−V
A
AND ACCORDING TO PARLLELOGARM LAW OF VECTOR ADDITION :
(V
B
′
)
2
=(V
A
)
2
+(V
B
2
)−2V
A
V
B
∗cosθ
WHERE θ IS THE ANGLE BETWEEN THE VELOCITIES,
BY PUTTING THE VALUE V
A
=10,V
B
=20ANDθ=60
0
THEN,
V
B
′
=10
3
m/s
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