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Question

A pilot of mass 75 kg in a jet aircraft executes a loop with a constant speed of 360 km/hr. If the radius of the loop is 200 m, the force exerted by seat on the pilot at the top of the loop is (Take g=10 m/s2)

A
3750 N
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B
4485 N
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C
3000 N
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D
5843 N
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Solution

The correct option is C 3000 N
At the top most point, FBD of pilot:-

Here Nps is the normal on pilot by the seat in the downward direction
v=360 km/h =360×518
v=100 m/s
Applying Equation of dynamics :-
Net force on the pilot by the seat N=mv2Rmg

=75×(100)220075×10

Required net force =(3750750)N
=3000 N

Hence option C is the correct answer

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