A helicopter of mass 2000 kg rises with a vertical acceleration of 15 m s^-2. The total mass

step 1 In this question, we have mass of the helicopter, capital M is equal to 2 ,000 KG. And mass of t

A helicopter of mass 2000 kg rises with a vertical...

A helicopter of mass $2000 \mathrm{~kg}$ rises with a vertical acceleration of $15 \mathrm{~m} \mathrm{~s}^{-2}$. The total mass of the crew and passengers is $500 \mathrm{~kg}$. Choose the correct statements from the following. (Take $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ ) (i) The force on the floor of the helicopter by the crew and passengers is $1.25 \times 10^{4} \mathrm{~N}$ vertically downwards. (ii) The action of the rotor of the helicopter on the surrounding air is $6.25 \times 10^{4}$ vertically downwards. (iii) The forceon the helicopterdue to the surrounding air is $6.25 \times 10^{4} \mathrm{~N}$ vertically upwards. (a) (i) and (ii) (b) (ii) and (iii) (c) (i) and (iii) (d) All the three

A helicopter of mass $2000 \mathrm{~kg}$ rises with a vertical acceleration of $15 \mathrm{~m} \mathrm{~s}^{-2}$. The total mass of the crew and passengers is $500 \mathrm{~kg}$. Choose the correct statements from the following. (Take $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ )
(i) The force on the floor of the helicopter by the crew and passengers is $1.25 \times 10^{4} \mathrm{~N}$ vertically downwards.
(ii) The action of the rotor of the helicopter on the surrounding air is $6.25 \times 10^{4}$ vertically downwards.
(iii) The forceon the helicopterdue to the surrounding air is $6.25 \times 10^{4} \mathrm{~N}$ vertically upwards.
(a) (i) and (ii)
(b) (ii) and (iii)
(c) (i) and (iii)
(d) All the three

Key Concepts

Newton's Third Law (Action-Reaction Principle)

Newton's Third Law states that for every action, there is an equal and opposite reaction. This concept is crucial when analyzing interactions between the helicopter and other objects (for example, the interaction between the helicopter and the air or between the floor and the passengers), ensuring that forces come in pairs with equal magnitude and opposite direction.

Apparent Weight in Accelerating Systems

Apparent weight refers to the normal force experienced by an object in a non-inertial (accelerating) frame of reference, which might differ from the true gravitational force. In accelerating vehicles like a helicopter, the apparent weight of occupants or objects is higher or lower than their actual weight, depending on the direction of acceleration, and must be considered when analyzing forces transmitted to surfaces or within the system.

Newton's Second Law

Newton's Second Law explains that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). This concept is used to compute the required net force to produce a given acceleration, and it forms the basis for analyzing the dynamics of systems such as a helicopter lifting off, where both gravitational force and thrust are considered.

Free Body Diagram Analysis

Free body diagrams are diagrams that show all the forces acting on a single object, isolated from its surroundings. In problems involving accelerating bodies, such as a helicopter, free body diagrams help in visualizing and summing up the forces (like weight, thrust, and reaction forces) in order to apply Newton's Second Law to determine net force and subsequent motion.

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