A helicopter of m ass 1000 kg rises with a vertical a c c ele ra tio n o f 15 `ms-^(2)` . The crew an d th e passengers weigh 300 kg. Give the magnitude and direction of the,
(a) Force on th e floor by th e crew and passengers.
(b) Action of the rotor of the helicopter on the surrounding air.
(c) Force on the helicopter due to the surrounding air.

Explanation

Mass of nencoper `m_(1) = 200 kg`
Mass of crew and passenger `m_(2) = 500 kg`
`g= 10 m//s^(2)`
(a ) force on the floor of the helicopter by the crew and passenger be `F_(1)`
`500 x25 N = 12500N`
( b) Action of the rotor of the helicopter on the surrounding air be `F_(2)`
`F_(2) = (m_(1) +m_(2) ) (g+a) = (m_(1) +m_(2)) ( g+a)`
= 62500 N (downward )
(c ) Force on the helicopter due to the surrounding air be `F_(3)`
`F_(3) =` reaction of force applied by helicopter
`F_(3) = 62500` N (upward )