a ship is steaming towards east with a speed of 8m/s . a women runs across the deck with a speed of 6m/s towards north . what is the velocity of woman relative to sea?
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Answered by
39
relative speed of ship be A=8m/s
motion of women in North direction B= 6m
and relative motion of women be C= ?
by Pythagoras theorem
A*A+B*B=C*C
hence relative motion of the women with relation to sea is 10m/s
motion of women in North direction B= 6m
and relative motion of women be C= ?
by Pythagoras theorem
A*A+B*B=C*C
hence relative motion of the women with relation to sea is 10m/s
Answered by
15
Given:
A ship is steaming towards east with a speed of 8m/s . a women runs across the deck with a speed of 6m/s towards north .
To find:
What is the velocity of woman relative to sea?
Solution:
From given, we have,
A ship is steaming towards the east with a speed of 8m/s.
A woman runs across the deck with a speed of 6m/s towards the north .
The velocity of woman wrt to sea = velocity of woman wrt ship - velocity of ship wrt sea.
The velocity of woman wrt to sea = Vw - (-Vs)
The magnitude of the velocity of woman wrt to sea = √[Vw² + Vs²]
= √[6² + 8²]
= √[36 + 64]
= √100
= 10
∴ The velocity of woman relative to sea is 10 m/s
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