A helicopter of mass 2000 kg rises with a vertical acceleration of `15ms^-2`. The total mass of the crew and passengers is 500 kg. Give the magnitude and direction of the (g`=10ms^-2`) (a) Force on the floor of the helicopter by the crew and passengers. (b) action of the rotor of the helicopter on the surrounding air. (c ) force on the helicopter dur to the surrounding air.

A helicopter of mass 2000 kg rises with a vertical acceleration of `15

1.	A helicopter of mass 2000 kg rises with a vertical acceleration of `15ms^-2`. The total mass of the crew and passengers is 500 kg. Give the magnitude and direction of the (g`=10ms^-2`) (a) Force on the floor of the helicopter by the crew and passengers. (b) action of the rotor of the helicopter on the surrounding air. (c ) force on the helicopter dur to the surrounding air.
Answer» Given mass of helicopter `(m_(1))` = 2000 kg Mass of the crew and passengeres `m_(2) = 500` kg Acceleration in vertical direction a = 15 m/ `s^(2) (uarr)` and g = 10 m/ `s^(2) (darr)` (a) Force on the floor of the helicopter by the crew and passengers `m_(2)(g +a ) = 500 (10 + 15) N` `500 xx 25 N = 12500 N` (b) Acting of the rotor of the helicopter on the surronding air = `(m_(1) + m_(2)) (g + a)` = `(2000 + 500) xx (10 + 15) = 2500 xx 25` = `625000 N` (downward) (c) Force on the helicopter due to the surrounding air = reaction of force applied by helicopter . = 62500 N (upward)

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