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A charged ball is fired straight up, starting from a point at which the electric potential is +200 V. The equipotentials are equally spaced, as shown in the picture below, with successive lines in the picture being exactly 1.00 meter apart. This is done at the surface of the Earth, where the gravitational field has a value of g = 10.0 m/s?, directed straight down. The ball has a mass of 150 grams, and the magnitude of the charge on the ball is 10 millicoulombs. +800 V +700 V +600 V +500 V +400 V +300 V 1.00 m Vi +200 V (a) In what direction is the electric field in this situation? O The direction of the field depends on whether the ball has a positive charge or a negative charge. O It's directed vertically, but we can't tell whether it is up or down. O It's directed to the left. O It's directed to the right. O It's directed down. O It's directed horizontally, but we can't tell whether it is left or right. O It's directed up. (b) If the ball has a positive charge, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? 23.23 X m/s (c) If the ball has a negative charge instead, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? m/s

A charged ball is fired straight up, starting from a point at which the electric potential is +200 V. The equipotentials are equally spaced, as shown in the picture below, with successive lines in the picture being exactly 1.00 meter apart. This is done at the surface of the Earth, where the gravitational field has a value of g = 10.0 m/s?, directed straight down. The ball has a mass of 150 grams, and the magnitude of the charge on the ball is 10 millicoulombs. +800 V +700 V +600 V +500 V +400 V +300 V 1.00 m Vi +200 V (a) In what direction is the electric field in this situation? O The direction of the field depends on whether the ball has a positive charge or a negative charge. O It's directed vertically, but we can't tell whether it is up or down. O It's directed to the left. O It's directed to the right. O It's directed down. O It's directed horizontally, but we can't tell whether it is left or right. O It's directed up. (b) If the ball has a positive charge, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? 23.23 X m/s (c) If the ball has a negative charge instead, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? m/s

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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A charged ball is fired straight up, starting from a point at which the electric potential is +200 V. The equipotentials are equally spaced, as shown in the picture below, with successive lines in the picture being exactly 1.00 meter apart. This is done at the surface of the Earth, where the gravitational field has a value of q = 10.0 m/s?, directed straight down. The ball has a mass of 150 grams, and the magnitude of the charge on the ball is 10 millicoulombs. +800 V +700 V +600 V +500 V +400 V +300 V 1.00 m +200 V (a) In what direction is the electric field in this situation? O The direction of the field depends on whether the ball has a positive charge or a negative charge. O It's directed vertically, but we can't tell whether it is up or down. O It's directed to the left. O It's directed to the right. O It's directed down. O It's directed horizontally, but we can't tell whether it is left or right. O It's directed up. (b) If the ball has a positive charge, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? 23.23 X m/s (c) If the ball has a negative charge instead, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? m/s
Transcribed Image Text:A charged ball is fired straight up, starting from a point at which the electric potential is +200 V. The equipotentials are equally spaced, as shown in the picture below, with successive lines in the picture being exactly 1.00 meter apart. This is done at the surface of the Earth, where the gravitational field has a value of q = 10.0 m/s?, directed straight down. The ball has a mass of 150 grams, and the magnitude of the charge on the ball is 10 millicoulombs. +800 V +700 V +600 V +500 V +400 V +300 V 1.00 m +200 V (a) In what direction is the electric field in this situation? O The direction of the field depends on whether the ball has a positive charge or a negative charge. O It's directed vertically, but we can't tell whether it is up or down. O It's directed to the left. O It's directed to the right. O It's directed down. O It's directed horizontally, but we can't tell whether it is left or right. O It's directed up. (b) If the ball has a positive charge, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? 23.23 X m/s (c) If the ball has a negative charge instead, what initial velocity must it have at the +200-V level for it to reach its maximum height at the +400-V level? m/s
Expert Solution
Step 1 - Introduction

Given

distance between successive lines h = 1 m

gravitational acceleration g = 10 m/s2

mass of ball m = 150 g = 0.15 kg

charge q = 10 milicoloumb = 1×10-2 C

 

 

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