viii) A train is moving eastward at 10 m/sec. A
waiter is walking eastward at 1.2m/sec;
and a fly is flying towards the north across
the waiter's tray at 2 m/s. What is the
velocity of the fly relative to Earth
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Answer:
Explanation:
Given,
Speed of train = 10 m/s east
Speed of waiter = 1.2 m/s east
Speed of tray = 2 m/s north
To Find,
Velocity of the fly relative to Earth.
Formula to be used,
Pythagorean theorem,
Solution,
Here, we will consider,
v(z) = Velocity of the fly
v(e) = Velocity of the east
v(n) = Velocity of the north
So, Putting all the values, we get
v(z) = √[{v(e)}² + {v(n)}²]
⇒ v(z) = √[(10 + 1.2)² + (2²)]
⇒ v(z) = √[(11.2)² + (2)²]
⇒ v(z) = 11.3 m/s
Hence, the velocity of the fly relative to Earth is 11.3 m/s.
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