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How many electrons will be deposited on the sphere before they no longer reach the surface? Question attached

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How many electrons will be deposited on the sphere before they no longer reach the surface? Question attached. Thank you!

(10%) Problem 10: An initially neutral conducting sphere has a radius R = 0.35 In. Electrons are ?red towards the sphere with aninitial speed of v = 1 x 106 m/s. Electrons striking the surface remain on the sphere and a net negative charge accumulates over time. Assume the elec1rons are ?red far from the sphere. E’ A How many electrons will be deposited on the sphere before they no longer reach the surface? I sin() I cos() I tanocotan() asinO 3-0080| atan() | acotanO | sinh() cosh() I tanhO lcotanhO ODegrees O Radians in|(-7|8|9--_|_|_- 456 + - 0 «f0 Hints: 2 fora 0% deduction. Hints remaining:_ -To reach the surface of the sphere, an electron’s initial kinetic energy mustbe greater than the system’s electric potential energy, relative to in?niteseparation, when the electron strikes the sphere’s surface. -Consider what charge on the sphere would cause an incoming electron tostop right at the surface. How many electrons are in this charge? Rememberthe work-energy theorem. Feedback: 0_% deduction per feedback.