Question

The rotors of a $15,200$ -kg heavy-lift helicopter exert a downward force of $322,000 \mathrm{N}$ in order to accelerate itself and its external cargo upward at 0.50 $\mathrm{m} / \mathrm{s}^{2} .$ By itself, what upward force does the external cargo exert on the Earth?

Name: Problem 63, Chapter 5: Physics
Uploaded: 2020-04-23T15:34:17-08:00
Duration: 2 min 7 s
Channel: Samantha Baker
Description: The rotors of a 15,200 -kg heavy-lift helicopter exert a downward force of 322,000 N in order to accelerate itself and its external cargo upward at 0.50 m / s^2 . By itself, what upward force does the external cargo exert on the Earth?

   The rotors of a $15,200$ -kg heavy-lift helicopter exert a downward force of $322,000 \mathrm{N}$ in order to accelerate itself and its external
cargo upward at 0.50 $\mathrm{m} / \mathrm{s}^{2} .$ By itself, what upward force does the
external cargo exert on the Earth?

Physics

James S. Walker 5th Edition

Chapter 5, Problem 63

Instant Answer

Solved by Expert Samantha Baker

04/23/2020

Step 1

The helicopter is accelerating upwards at a rate of 0.50 m/s², but it also has to overcome the acceleration due to gravity, which is 9.8 m/s². So, the net acceleration is the sum of these two accelerations: \[0.50 \, \text{m/s}² + 9.8 \, \text{m/s}² = 10.3 \, Show more…

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The rotors of a $15,200$ -kg heavy-lift helicopter exert a downward force of $322,000 \mathrm{N}$ in order to accelerate itself and its external cargo upward at 0.50 $\mathrm{m} / \mathrm{s}^{2} .$ By itself, what upward force does the external cargo exert on the Earth?

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Key Concepts

Newton’s Third Law

This law states that for every action there is an equal and opposite reaction. In the context of objects interacting with the Earth, if Earth exerts a gravitational force downward on an object, then the object exerts an equal and opposite force upward on the Earth regardless of the object’s acceleration.

Gravitational Force

Gravitational force, or weight, is the force exerted on an object due to gravity and is calculated as the product of the object's mass and the acceleration due to gravity. It is a fundamental concept in mechanics that explains the constant pull that the Earth exerts on objects.

Newton’s Second Law and Net Force

Newton’s second law, expressed as F = ma, relates the net force acting on an object to its mass and acceleration. This principle is used to determine additional forces required for acceleration beyond the constant gravitational force.

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