The tolerance -+2% ### Problem StatementA 0.322 kg particle moves in an xy plane according to the equations:\[ x(t) = -17.0 + 2.00t - 3.00t^3 \]\[ y(t) = 17.0 + 4.00t - 8.00t^2 \]with \( x \) and \( y \) in meters and \( t \) in seconds. At \( t = 1.05 \) s, what are:#### (a) The magnitude of the net force on the particle#### (b) The angle (within the -180°, 180° interval relative to the positive direction of the x-axis) of the net force on the particle#### (c) The angle of the particle's direction of travel### Answer Fields#### (a)- **Number:** - **Units:** [Unit Selector]#### (b)- **Number:** - **Units:** [Unit Selector]#### (c)- **Number:** - **Units:** [Unit Selector]### InstructionsCalculate and fill in the appropriate values and units for magnitude, angles, and direction based on the given equations and time \( t \). Use the principles of physics and relevant mathematical techniques to derive the answers. Note: No graphs or diagrams are present in this question.

The mass of the particle is given as: The x and y positions are given asIt is required to find the…

A 0.322 kg particle moves in an xy plane according to x(t) = -17.0 +2.00 t - 3.00 t3 and y(t) = 17.0+4.00 t - 8.00 t², with x and y in meters and t in seconds. At t = 1.05 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the x-axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?

A 0.322 kg particle moves in an xy plane according to x(t) = -17.0 +2.00 t - 3.00 t3 and y(t) = 17.0+4.00 t - 8.00 t², with x and y in meters and t in seconds. At t = 1.05 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the x-axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?

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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