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There are two forces on the 2.96 kg box in the overhead view of the figure but only one is shown. For F1 = 15.9 N, a = 11.8 m/s?, and 0 = 22.8°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i+ i j Units (b) Number i Units (c) Number i Units

There are two forces on the 2.96 kg box in the overhead view of the figure but only one is shown. For F1 = 15.9 N, a = 11.8 m/s?, and 0 = 22.8°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i+ i j Units (b) Number i Units (c) Number i Units

College Physics
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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## Problem Statement: There are two forces on the 2.96 kg box in the overhead view of the figure but only one is shown. For \( F_1 = 15.9 \, \text{N} \), \( a = 11.8 \, \text{m/s}^2 \), and \( \theta = 22.8^\circ \), find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) ## Diagram Explanation: The diagram shows a rectangle representing a box on an xy-plane. Two vectors are shown: - \( \vec{F_1} \): A blue vector directed along the positive x-axis. - \( \vec{a} \): An orange vector starting from the box making an angle \( \theta \) (22.8 degrees) with the negative x-axis, pointing outward. ## Fields for Input: (a) **Unit-Vector Notation:** - Number (i-component) i+ - Number (j-component) j - Units (b) **Magnitude:** - Number - Units (c) **Direction:** - Number - Units
Transcribed Image Text:## Problem Statement: There are two forces on the 2.96 kg box in the overhead view of the figure but only one is shown. For \( F_1 = 15.9 \, \text{N} \), \( a = 11.8 \, \text{m/s}^2 \), and \( \theta = 22.8^\circ \), find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) ## Diagram Explanation: The diagram shows a rectangle representing a box on an xy-plane. Two vectors are shown: - \( \vec{F_1} \): A blue vector directed along the positive x-axis. - \( \vec{a} \): An orange vector starting from the box making an angle \( \theta \) (22.8 degrees) with the negative x-axis, pointing outward. ## Fields for Input: (a) **Unit-Vector Notation:** - Number (i-component) i+ - Number (j-component) j - Units (b) **Magnitude:** - Number - Units (c) **Direction:** - Number - Units
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