can you do (a) and (b)? **Problem 4:** A ball with mass \( m = 5 \, \text{g} \) at the end of a massless strand is swinging in a circle of radius \( R = 1.9 \, \text{m} \) with an angular velocity \( \omega = 6 \, \text{rad/s} \).**Diagram:** The diagram shows a circle with radius \( R \), representing the path of the swinging ball. The ball moves along this circular path.**Part (a):** Write an expression for the velocity \( v \) of the ball. **Expression:** \( v = \) ___________________________ Select from the variables below to write your expression. Note that all variables may not be required. \[ \alpha, \beta, \omega, \theta, a, d, g, h, j, k, m, P, R, t, v \]**Part (b):** Calculate the velocity of the ball, \( v \) in m/s. **Numeric:** A numeric value is expected and not an expression. \( v = \) ___________________________**Part (c):** In order to travel in a circle, the direction the ball’s path must constantly be changing (curving inward). This constant change in direction towards the center of the circle is a center-pointing acceleration called centripetal acceleration \( a_c \). Write an expression for the centripetal acceleration \( a_c \) of the ball, in terms of the linear velocity. **Expression:** \( a_c = \) ___________________________Select from the variables below to write your expression. Note that all variables may not be required. \[ \alpha, \beta, \omega, \theta, a, d, g, h, j, k, m, P, R, t, v \]**Part (d):** Calculate the centripetal acceleration of the ball, \( a_c \) in m/s\(^2\). **Numeric:** A numeric value is expected and not an expression. \( a_c = \) ___________________________

Given values - Mass=m=5gRadius=R=1.9 mAngular velocity=ω=6 rads

Part (a) Write an expression for the velocity v of the ball. Expression : v = Select from the variables below to write your expression. Note that all variables may not be required. a, B, w, 0, a, d, g, h, j, k, m, P, R, t, v Part (b) Calculate the velocity of the ball, v in m/s. Numeric : A numeric value is expected and not an expression. V =

Part (a) Write an expression for the velocity v of the ball. Expression : v = Select from the variables below to write your expression. Note that all variables may not be required. a, B, w, 0, a, d, g, h, j, k, m, P, R, t, v Part (b) Calculate the velocity of the ball, v in m/s. Numeric : A numeric value is expected and not an expression. V =

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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