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

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.