A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 7.84E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the speed of the particle after 7 periods of the cyclotron motion (in m/s)? This image depicts a three-dimensional coordinate system typically used in physics, specifically in mechanics, to describe motion and forces acting on a body. Here's a detailed explanation of its components:- **Axes Orientation:** - The horizontal axis labeled \( x \) represents the x-axis. - The vertical axis labeled \( y \) represents the y-axis. - The axis coming out of the plane towards the observer, labeled as \( +z \), represents the positive z-axis. The symbol \( \odot \) denotes a vector directed out of the plane, implying three dimensions.- **Vector \( v \):** - A vertical arrow pointing downwards is labeled \( v \), which typically represents velocity or force in physical problems. In this context, it indicates a vector with a downward direction along the negative y-axis.- **Coordinate System:** - The coordinate system depicted is a right-handed coordinate system, which is conventional in physics and engineering for describing three-dimensional spaces.This visual aid is crucial for analyzing problems involving three-dimensional motion, where understanding the direction and magnitude of vectors is essential. The positive z-axis indicates that the system considers three dimensions, making it suitable for more complex physical scenarios.

particle having mass m = 2.80E-4 kg negative charge q= −1.70E-6 C . The particle is given an…

A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 7.84E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the speed of the particle after 7 periods of the cyclotron motion (in m/s)?

A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 7.84E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the speed of the particle after 7 periods of the cyclotron motion (in m/s)?

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