Math  /  Algebra

Question7. (II) (a) What magnitude force is required to give a helicopter of mass MM an acceleration of 0.10 g upward? (b) What work is done by this force as the helicopter moves a distance hh upward?

Studdy Solution
Calculate the work done by this force over a distance h h .
The work done W W by a constant force is given by the formula: W=Fdcos(θ) W = F \cdot d \cdot \cos(\theta)
Since the force is acting in the same direction as the displacement (upward), the angle θ=0 \theta = 0^\circ , and cos(0)=1 \cos(0^\circ) = 1 .
Thus, the work done is: W=Fh=(M1.10g)h W = F \cdot h = (M \cdot 1.10g) \cdot h
The magnitude of the force required is M1.10g M \cdot 1.10g , and the work done by this force as the helicopter moves a distance h h upward is (M1.10g)h (M \cdot 1.10g) \cdot h .

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