**Problem Description:**Two constant forces are applied to a 100.0 kg boat, as shown in the diagram below. Assume that no other forces act in the x-y plane. Find the magnitude and direction of the boat’s acceleration.**Diagram Analysis:**- The diagram shows a top view of a boat.- Two forces are applied to the boat at different angles. - **Force 1:** - Magnitude: 75.6 N - Direction: 30.9° from the positive x-axis, pointing upwards (red arrow). - **Force 2:** - Magnitude: 87.2 N - Direction: 23.4° from the positive x-axis, pointing downwards (blue arrow).- The coordinate system is defined with the x-axis pointing horizontally to the right and the y-axis pointing vertically up.**Objective:**Find the magnitude and direction of the resulting acceleration of the boat using the given forces and angles. Apply Newton’s second law of motion: \( F = ma \), where \( F \) is the net force on the object, \( m \) is the mass of the object, and \( a \) is the acceleration.

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Two constant forces are applied to a 100.0 kg boat, as shown in the diagram below. Assume that no other forces act in the x-y pane. Find the magnitude and direction of the boat's acceleration.

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

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

**Problem Description:**

Two constant forces are applied to a 100.0 kg boat, as shown in the diagram below. Assume that no other forces act in the x-y plane. Find the magnitude and direction of the boat’s acceleration.

**Diagram Analysis:**

- The diagram shows a top view of a boat.
- Two forces are applied to the boat at different angles.

- **Force 1:**
- Magnitude: 75.6 N
- Direction: 30.9° from the positive x-axis, pointing upwards (red arrow).

- **Force 2:**
- Magnitude: 87.2 N
- Direction: 23.4° from the positive x-axis, pointing downwards (blue arrow).

- The coordinate system is defined with the x-axis pointing horizontally to the right and the y-axis pointing vertically up.

**Objective:**

Find the magnitude and direction of the resulting acceleration of the boat using the given forces and angles. Apply Newton’s second law of motion: \( F = ma \), where \( F \) is the net force on the object, \( m \) is the mass of the object, and \( a \) is the acceleration.

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