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A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)
(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.
(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.
(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104 N vertically upwards.
(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.
(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.
(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104 N vertically upwards.
- a)(i) and (ii)
- b)(ii) and (iii)
- c)(i) and (iii)
- d)All the three
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A helicopter of mass 2000 kg rises with a vertical acceleration of 15 ...
Here,
Mass of hehcopter, M = 2000 kg
Mass of the crew and passengers, m = 500 kg
Vertically upwards acceleration, a = 15 ms-2
g = 10 m s-2
(i) Force on the floor by the crew and passengers
= m (g + a) = 500 kg (10 + 15) m s-2
= 12500 N = 1.25 x 104 N
It acts vertically downwards.
(ii) Action of the rotor of the hehcopter on the surrounding air = (M + m) (g + a)
= (2000 + 500) kg (10 + 15) m s -2
= 62500 N = 6.25 x 104 N
It acts vertically downwards
(iii) Force on the helicopter due to the surrounding air is equal and opposite to the action of the rotor of the helicopter on the surrounding air.
Force on the helicopter due to the surrounding air
= 6.25 x 104 N
It acts vertically upwards.
Mass of hehcopter, M = 2000 kg
Mass of the crew and passengers, m = 500 kg
Vertically upwards acceleration, a = 15 ms-2
g = 10 m s-2
(i) Force on the floor by the crew and passengers
= m (g + a) = 500 kg (10 + 15) m s-2
= 12500 N = 1.25 x 104 N
It acts vertically downwards.
(ii) Action of the rotor of the hehcopter on the surrounding air = (M + m) (g + a)
= (2000 + 500) kg (10 + 15) m s -2
= 62500 N = 6.25 x 104 N
It acts vertically downwards
(iii) Force on the helicopter due to the surrounding air is equal and opposite to the action of the rotor of the helicopter on the surrounding air.
Force on the helicopter due to the surrounding air
= 6.25 x 104 N
It acts vertically upwards.
Most Upvoted Answer
A helicopter of mass 2000 kg rises with a vertical acceleration of 15 ...
Force on the Floor of the Helicopter by the Crew and Passengers:
The force on the floor of the helicopter by the crew and passengers can be determined using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). In this case, the mass of the crew and passengers is 500 kg and the acceleration is 15 m/s^2 (upwards).
Using the formula, we can calculate the force:
Force = mass × acceleration
Force = 500 kg × 15 m/s^2
Force = 7500 N
Since the force is acting in the opposite direction to the acceleration, the force on the floor of the helicopter by the crew and passengers is 7500 N vertically downwards.
The Action of the Rotor of the Helicopter on the Surrounding Air:
The action of the rotor of the helicopter on the surrounding air can be determined using Newton's third law of motion, which states that every action has an equal and opposite reaction. In this case, the action is the downward force exerted by the rotor on the air.
According to Newton's third law, the reaction force will be equal in magnitude but in the opposite direction. Therefore, the force on the surrounding air by the rotor will be 7500 N vertically upwards.
The Force on the Helicopter Due to the Surrounding Air:
The force on the helicopter due to the surrounding air can be determined by considering the net force acting on the helicopter. The net force is equal to the total force acting on the helicopter minus the force exerted by the crew and passengers.
The total mass of the helicopter is given as 2000 kg. The force exerted by the crew and passengers is 7500 N vertically downwards. The acceleration due to gravity, g, is given as 10 m/s^2.
Using the formula for net force:
Net force = total force - force exerted by crew and passengers
Net force = (mass of helicopter × acceleration due to gravity) - (force exerted by crew and passengers)
Net force = (2000 kg × 10 m/s^2) - 7500 N
Net force = 20000 N - 7500 N
Net force = 12500 N
Since the net force is acting in the opposite direction to the acceleration, the force on the helicopter due to the surrounding air is 12500 N vertically upwards.
Conclusion:
From the calculations, we can see that the correct statements are:
(i) The force on the floor of the helicopter by the crew and passengers is 1.25 × 10^4 N vertically downwards.
(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 × 10^4 N vertically downwards.
(iii) The force on the helicopter due to the surrounding air is 6.25 × 10^4 N vertically upwards.
Therefore, the correct answer is option (d) All the three statements.
The force on the floor of the helicopter by the crew and passengers can be determined using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). In this case, the mass of the crew and passengers is 500 kg and the acceleration is 15 m/s^2 (upwards).
Using the formula, we can calculate the force:
Force = mass × acceleration
Force = 500 kg × 15 m/s^2
Force = 7500 N
Since the force is acting in the opposite direction to the acceleration, the force on the floor of the helicopter by the crew and passengers is 7500 N vertically downwards.
The Action of the Rotor of the Helicopter on the Surrounding Air:
The action of the rotor of the helicopter on the surrounding air can be determined using Newton's third law of motion, which states that every action has an equal and opposite reaction. In this case, the action is the downward force exerted by the rotor on the air.
According to Newton's third law, the reaction force will be equal in magnitude but in the opposite direction. Therefore, the force on the surrounding air by the rotor will be 7500 N vertically upwards.
The Force on the Helicopter Due to the Surrounding Air:
The force on the helicopter due to the surrounding air can be determined by considering the net force acting on the helicopter. The net force is equal to the total force acting on the helicopter minus the force exerted by the crew and passengers.
The total mass of the helicopter is given as 2000 kg. The force exerted by the crew and passengers is 7500 N vertically downwards. The acceleration due to gravity, g, is given as 10 m/s^2.
Using the formula for net force:
Net force = total force - force exerted by crew and passengers
Net force = (mass of helicopter × acceleration due to gravity) - (force exerted by crew and passengers)
Net force = (2000 kg × 10 m/s^2) - 7500 N
Net force = 20000 N - 7500 N
Net force = 12500 N
Since the net force is acting in the opposite direction to the acceleration, the force on the helicopter due to the surrounding air is 12500 N vertically upwards.
Conclusion:
From the calculations, we can see that the correct statements are:
(i) The force on the floor of the helicopter by the crew and passengers is 1.25 × 10^4 N vertically downwards.
(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 × 10^4 N vertically downwards.
(iii) The force on the helicopter due to the surrounding air is 6.25 × 10^4 N vertically upwards.
Therefore, the correct answer is option (d) All the three statements.
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A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer?
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A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer?.
A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer?.
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A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Choose the correct statements from the following. (Take g = 10 m s-2)(i) The force on the floor of the helicopter by the crew and passengers is 1.25 x 104 N vertically downwards.(ii) The action of the rotor of the helicopter on the surrounding air is 6.25 x 104 vertically downwards.(iii) Theforceon the helicopter due to the surrounding air is 6.25 x 104N vertically upwards.a)(i) and (ii)b)(ii) and (iii)c)(i) and (iii)d)All the threeCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice NEET tests.
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