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A drone of mass 2.15 kg is in flight. Its thrust is directed at an angle of 62.5° above the horizontal and has a magnitude of 38.1 N. What is the net force acting on the drone in the horizontal direction?

A) 26.5 N
B) 38.1 N
C) 43.1 N
D) 15.6 N

Answer :

Final answer:

Option d)

The magnitude of the net force acting on the drone in the horizontal direction is calculated using trigonometric principles to split the force vector into its horizontal component. The force is approximately 15.6 N.

Explanation:

To find the net force acting on the drone in the horizontal direction, we need to deal with the components of the force. The force exerted by the drone has both a vertical component and a horizontal component as it's directed at an angle. We can calculate the magnitude of the horizontal component of the force using simple trigonometry.

The horizontal force Fx can be found using the equation Fx = F * cos(θ), where F is the magnitude of the force and θ is the angle. Substituting the values F = 38.1 N and θ = 62.5 degrees, we get Fx = 38.1 N * cos(62.5).

By calculation, the horizontal component rounds up to approximately 15.6 N. So, option d) 15.6 N is the answer.

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