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A fighter aeroplane flying in the sky dives with a speed of 360 km/hr in a vertical circle of radius 200 m. Weight of the pilot sitting in it is 75 kg. What will be the value of force with which the pilot presses his seat when the aeroplane is at highest position (g = 10 m/s2)

  • a)
    3000 N

  • b)
    1500 N

  • c)
     (75 × g)N

  • d)
     300 N

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A fighter aeroplane flying in the sky dives with a speed of 360 km/hr ...
 
R1 is normal reaction at the lowest position and R2 is normal reaction at the highest position of vertical circle r=200m,m=75kgr=200m,m=75kg ,
υ=360km/h=100m/s
 
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A fighter aeroplane flying in the sky dives with a speed of 360 km/hr ...
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Community Answer
A fighter aeroplane flying in the sky dives with a speed of 360 km/hr ...
The force with which the pilot presses his seat is equal to the sum of the gravitational force and the centrifugal force acting on the pilot.

The gravitational force acting on the pilot is given by:
F_gravity = m * g
where m is the mass of the pilot and g is the acceleration due to gravity.

F_gravity = 75 kg * 10 m/s^2
F_gravity = 750 N

The centrifugal force acting on the pilot is given by:
F_centrifugal = m * (v^2 / r)
where m is the mass of the pilot, v is the velocity of the plane, and r is the radius of the circular path.

First, we need to convert the velocity of the plane from km/hr to m/s:
360 km/hr * (1000 m/km) * (1 hr/3600 s) = 100 m/s

F_centrifugal = 75 kg * (100 m/s)^2 / 200 m
F_centrifugal = 37500 N

The total force with which the pilot presses his seat is:
F_total = F_gravity + F_centrifugal
F_total = 750 N + 37500 N
F_total = 38250 N

Therefore, the value of force with which the pilot presses his seat when the aeroplane is at the highest position is 38250 N.
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A fighter aeroplane flying in the sky dives with a speed of 360 km/hr in a vertical circle of radius 200 m. Weight of the pilot sitting in it is 75 kg. What will be the value of force with which the pilot presses his seat when the aeroplane is at highest position (g = 10 m/s2)a)3000 Nb)1500 Nc)(75 ×g)Nd)300 NCorrect answer is option 'A'. Can you explain this answer?
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A fighter aeroplane flying in the sky dives with a speed of 360 km/hr in a vertical circle of radius 200 m. Weight of the pilot sitting in it is 75 kg. What will be the value of force with which the pilot presses his seat when the aeroplane is at highest position (g = 10 m/s2)a)3000 Nb)1500 Nc)(75 ×g)Nd)300 NCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A fighter aeroplane flying in the sky dives with a speed of 360 km/hr in a vertical circle of radius 200 m. Weight of the pilot sitting in it is 75 kg. What will be the value of force with which the pilot presses his seat when the aeroplane is at highest position (g = 10 m/s2)a)3000 Nb)1500 Nc)(75 ×g)Nd)300 NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fighter aeroplane flying in the sky dives with a speed of 360 km/hr in a vertical circle of radius 200 m. Weight of the pilot sitting in it is 75 kg. What will be the value of force with which the pilot presses his seat when the aeroplane is at highest position (g = 10 m/s2)a)3000 Nb)1500 Nc)(75 ×g)Nd)300 NCorrect answer is option 'A'. Can you explain this answer?.
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