Question 2 A particle is located at the position vector \(\mathbf{r} = (9.00\mathbf{i} + 11.00\mathbf{j}) \, \text{m}\) and a force exerted on it is given by \(\mathbf{F} = (8.00\mathbf{i} + 7.00\mathbf{j}) \, \text{N}\).(a) What is the torque acting on the particle about the origin?\[\tau = -25\mathbf{k} \, \text{N} \cdot \text{m}\]✔(b) Can there be another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude?- Yes- No✔(c) Can there be more than one such point?- Yes- No✔(d) Can such a point lie on the y-axis?- Yes- No✔(e) Can more than one such point lie on the y-axis?- Yes- No✔(f) Determine the position vector of one such point. (Give a point on the y-axis.)\[\mathbf{r} = -1.562\mathbf{j} \, \text{m}\]✘ **Description of the Problem Scenario**A disk of mass \( m_1 = 70.0 \, \text{g} \) and radius \( r_1 = 4.50 \, \text{cm} \) slides on a frictionless sheet of ice with velocity \( \vec{v} \), where \( v = 14.00 \, \text{m/s} \), as shown in a top-down view in figure (a). The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass \( m_2 = 140 \, \text{g} \), a radius \( r_2 = 6.00 \, \text{cm} \), and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b).**Questions**(a) What is the magnitude of the angular momentum (in \( \text{kg} \cdot \text{m}^2/\text{s} \)) of the two-disk system relative to its center of mass? **Answer:** \[0.0686 \, \text{kg} \cdot \text{m}^2/\text{s}\](b) What is the angular speed (in rad/s) about the center of mass? **Answer:** \(\_\_\_\_\) rad/s**Explanation of Diagrams**- **Figure (a):** Shows the initial scenario with disk \( m_1 \) moving towards disk \( m_2 \) which is at rest.- **Figure (b):** Illustrates how the disks stick together and start rotating after collision.The given problem involves understanding how momentum is transferred between two colliding objects and how they behave after an inelastic collision where they stick together. The problem specifically focuses on calculating the angular momentum after collision relative to the system’s center of mass and determining the resulting angular speed.

Position vector r=9i+11j and Force F = 8i+7j N solution:- F→=8i^+7j^ N T→=-25K^ N‐m…

A particle is located at the position vectorr = (9.00î + 11.00j) m and a force exerted on it is given by F = (8.00î + 7.00j) N. (a) What is the torque acting on the particle about the origin? T = -25k N. m (b) Can there be another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude? Yes O No (c) Can there be more than one such point? Yes O No (d) Can such a point lie on the y-axis? O Yes No (e) Can more than one such point lie on the y-axis? Yes No (f) Determine the position vector of one such point. (Give a point on the y-axis.) r = -1.562j

A particle is located at the position vectorr = (9.00î + 11.00j) m and a force exerted on it is given by F = (8.00î + 7.00j) N. (a) What is the torque acting on the particle about the origin? T = -25k N. m (b) Can there be another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude? Yes O No (c) Can there be more than one such point? Yes O No (d) Can such a point lie on the y-axis? O Yes No (e) Can more than one such point lie on the y-axis? Yes No (f) Determine the position vector of one such point. (Give a point on the y-axis.) r = -1.562j

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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