Question
A 4,000.0 KG FIREFIGHTING HELICOPTER ACCELERATES UPWARD AT ARATE OF 0.70 M/S*2 WHILE LIFTING A 1,200.0 KG TANK OFWATER. A) SKETCH A DIAGRAM INDICATING ALL FORCES ACTING ON THEHELICOPTER AS WELL AS THE TANK. B) WHAT IS THE LIFT FORCE EXERTED BY AIR ON THE ROTORS? C) WHAT IS THE TENSION IN THE CABLE CONNECTING TO THE TANK OFWATER? D) WHEN THE WATER IS DUMPED OVER THE FIRE, THE HELICOPTER IS100 M ABOVE GROUND. IF THE WATER IS DUMPED INSTANTANEOUSLYWHILE THE ROTORS ARE EXERTING THE SAME FORCE YOU FOUND ABOVE, HOWHIGHT WILL THE HELICOPTER BE 3.0 SECONDS LATER WHEN THE PILOTBEGINS THE RETURN TRIP? A 4,000.0 KG FIREFIGHTING HELICOPTER ACCELERATES UPWARD AT ARATE OF 0.70 M/S*2 WHILE LIFTING A 1,200.0 KG TANK OFWATER. A) SKETCH A DIAGRAM INDICATING ALL FORCES ACTING ON THEHELICOPTER AS WELL AS THE TANK. B) WHAT IS THE LIFT FORCE EXERTED BY AIR ON THE ROTORS? C) WHAT IS THE TENSION IN THE CABLE CONNECTING TO THE TANK OFWATER? D) WHEN THE WATER IS DUMPED OVER THE FIRE, THE HELICOPTER IS100 M ABOVE GROUND. IF THE WATER IS DUMPED INSTANTANEOUSLYWHILE THE ROTORS ARE EXERTING THE SAME FORCE YOU FOUND ABOVE, HOWHIGHT WILL THE HELICOPTER BE 3.0 SECONDS LATER WHEN THE PILOTBEGINS THE RETURN TRIP?
Explanation / Answer
a) gravitationl force acting down wards and force due torotators exert equal force opposite to gravity. b) lift force of rotators F = (m+M)g m = water mass M = mass of helicopter c)Tension in the cable T = mg m = mass of water d)when the water dumped suddenly , force F =mg actson the copter up wards and theheight lifter h = at^2 / 2 a = M / Mg t = 3sec