Protons are projected with an initial speed v₁ = 9.02 km/s from a field-free region through a plane and into a region where a uniform electric field E= -720) N/C is present above the plane as shown in in the figure below. The Initial velocity vector of the protons makes an angle 8 with the plane. The protons are to hit a target that lies at a horizontal distance of R = 1.14 mm from the point where the protons cross the plane and enter the electric field. We wish to find the angle at which the protons must pass through the plane to strike the target. Proton beam E = -720j N/C Target E-0 below the plane Ⓡ (c) Argue that R = sin(28) would be applicable to the protons in this situation. ns (d) Use R = V₁² sin(28) to write an expression for R in terms of v., E, the charge and mass of the proton, and the angle 6. (Use the following as necessary: v, e, E, 8, and my for the mass of 9 proton.) (e) Find the two possible values of the angle (in degrees). (Enter your answers from smallest to largest.) (f) Find the time interval during which the proton is above the plane in the figure above for each of the two possible values of 8 (in degrees). (Enter your answers from smallest to largest.) ns
Protons are projected with an initial speed v₁ = 9.02 km/s from a field-free region through a plane and into a region where a uniform electric field E= -720) N/C is present above the plane as shown in in the figure below. The Initial velocity vector of the protons makes an angle 8 with the plane. The protons are to hit a target that lies at a horizontal distance of R = 1.14 mm from the point where the protons cross the plane and enter the electric field. We wish to find the angle at which the protons must pass through the plane to strike the target. Proton beam E = -720j N/C Target E-0 below the plane Ⓡ (c) Argue that R = sin(28) would be applicable to the protons in this situation. ns (d) Use R = V₁² sin(28) to write an expression for R in terms of v., E, the charge and mass of the proton, and the angle 6. (Use the following as necessary: v, e, E, 8, and my for the mass of 9 proton.) (e) Find the two possible values of the angle (in degrees). (Enter your answers from smallest to largest.) (f) Find the time interval during which the proton is above the plane in the figure above for each of the two possible values of 8 (in degrees). (Enter your answers from smallest to largest.) ns
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