A molecular physicist wishes to use the charges shown to the right to suspend a large,...

 

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A molecular physicist wishes to use the charges shown to the right to suspend a large, charged molecule for an experiment. Two positive charges, +Q, are used to keep the positively charged molecule (represented by the ring) from falling due to the force of gravity (in the -y direction). The molecule can move along the y-axis only. The mass of the molecule is m, the charge of the molecule is q> 0, and it can be treated as a point charge. The set-up is designed to hold the molecule stationary at some position yr. D) Draw a Free Body Diagram for the molecule. Think carefully about all the forces on the molecule and be sure to label each force by the type of force and what is causing the force. +Q +Q y=1 q, m, yr x y=0 E) Write an equation for the total electric field due to the two charges, +Q, for any point on the y axis with 0 < y < 1. Show that your answer is correct (correct physics) at the point y=and for the limits y→ 0 and y→ 1. (Be careful with signs!) F) For the molecule to remain stationary at the point yy, the total force on the molecule must be zero, Frotal (yr) = 0. Using this physics, write down and solve for an equation that gives the value of Q necessary to hold the molecule stationary at some point yr. This equation should be in terms of q, m, g,y,,l, and k. (g is, of course, the gravitational constant on the surface of the Earth.) G) Let = 0.9 m, the mass of the molecule be equal to the mass of 800 protons (mproton 1.7 x 10-27 kg), and the charge be q = +1.6 x 10-19 C. What is Q if y, == 0.3 m? A molecular physicist wishes to use the charges shown to the right to suspend a large, charged molecule for an experiment. Two positive charges, +Q, are used to keep the positively charged molecule (represented by the ring) from falling due to the force of gravity (in the -y direction). The molecule can move along the y-axis only. The mass of the molecule is m, the charge of the molecule is q> 0, and it can be treated as a point charge. The set-up is designed to hold the molecule stationary at some position yr. D) Draw a Free Body Diagram for the molecule. Think carefully about all the forces on the molecule and be sure to label each force by the type of force and what is causing the force. +Q +Q y=1 q, m, yr x y=0 E) Write an equation for the total electric field due to the two charges, +Q, for any point on the y axis with 0 < y < 1. Show that your answer is correct (correct physics) at the point y=and for the limits y→ 0 and y→ 1. (Be careful with signs!) F) For the molecule to remain stationary at the point yy, the total force on the molecule must be zero, Frotal (yr) = 0. Using this physics, write down and solve for an equation that gives the value of Q necessary to hold the molecule stationary at some point yr. This equation should be in terms of q, m, g,y,,l, and k. (g is, of course, the gravitational constant on the surface of the Earth.) G) Let = 0.9 m, the mass of the molecule be equal to the mass of 800 protons (mproton 1.7 x 10-27 kg), and the charge be q = +1.6 x 10-19 C. What is Q if y, == 0.3 m?

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depicts a scenario where a molecular physicist is trying to suspend a large charged molecule for an experiment They are using two positive charges Q t... View the full answer