Question

A helicopter of mass 3000KG rises vertically at a constant speed of 25m/s if the acceleration due to gravity is 10ms^-2, determine the resultant force working on the helicopter

Answer 1

The resultant force working on the helicopter can be calculated using the formula:

Resultant force = mass x acceleration

We know that the mass of the helicopter is 3000 kg and the acceleration is the acceleration due to gravity, which is 10 m/s^2.

The force of lift that opposes the weight of the helicopter is equal to:

Resultant force = 3000 kg x (10 m/s^2 + 25 m/s^2)

Resultant force = 3000 kg x 35 m/s^2 = 105,000 N

So the resultant force working on the helicopter is 105,000 N, this is the force that the helicopter's engines need to exert to overcome the force of gravity and maintain its constant speed of 25m/s.