An airboat with mass 450 kg, including the passenger, has an engine that produces a net horizontal force of 970 N, after accounting for forces of resistance (see Fig. 4.7). (a) Find the acceleration of the airboat. (b) Starting from rest, how long does it take the airboat to reach a speed of 15.0 m/s? (c) After reaching that speed, the pilot turns off the engine and drifts to a stop over a distance of 80.0 m. Find the resistance force, assuming it's constant.

An airboat with mass 450 kg, including the passenger, has an engine that produces a net horizontal force of 970 N, after accounting for forces of resistance (see Fig. 4.7). (a) Find the acceleration of the airboat. (b) Starting from rest, how long does it take the airboat to reach a speed of 15.0 m/s? (c) After reaching that speed, the pilot turns off the engine and drifts to a stop over a distance of 80.0 m. Find the resistance force, assuming it's constant.

Name: The image illustrates an airboat on water, featuring a propeller on t
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: The image illustrates an airboat on water, featuring a propeller on the back. There are two labeled arrows indicating force: 1. **\( \vec{F}_{\text{prop}} \)**: This arrow points to the right, signifying the propulsive force exerted by the propeller

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

Topic Video

Question

The image illustrates an airboat on water, featuring a propeller on the back. There are two labeled arrows indicating force:

1. **\( \vec{F}_{\text{prop}} \)**: This arrow points to the right, signifying the propulsive force exerted by the propeller on the boat, moving it forward.

2. **\( \vec{F}_{\text{resist}} \)**: This arrow points to the left, representing the resistive force or drag that opposes the motion of the boat through the water.

Figure 4.7 (Example 4.1) provides a visual example of forces acting on a boat, useful for understanding basic principles of propulsion and resistance in physics.

**Problem Description: Airboat Dynamics**

An airboat with a mass of 450 kg, including the passenger, has an engine that produces a net horizontal force of 970 N, after accounting for forces of resistance (see Fig. 4.7).

**Tasks:**

(a) **Find the Acceleration of the Airboat:**
Use the formula \( F = ma \) where \( F \) is the force applied, \( m \) is the mass, and \( a \) is the acceleration.

(b) **Time to Reach Speed:**
Starting from rest, calculate how long it takes for the airboat to reach a speed of 15.0 m/s.

(c) **Determine the Resistance Force:**
After reaching that speed, the pilot turns off the engine and the airboat drifts to a stop over a distance of 80.0 m. Find the resistance force, assuming it is constant.

**Note:**
This problem involves solving basic physics equations related to motion, such as Newton's second law and kinematic equations.

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