In the Bohr model of the hydrogen atom, an electron moves in a circular path aro

Question

In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The speed of the electron is approximately 2.22 106 m/s.
(a) Find the force acting on the electron as it revolves in a circular orbit of radius 0.528 1010 m.
(b) Find the centripetal acceleration of the electron. m/s2

qouestion 2

A hawk flies in a horizontal arc of radius 10.2 m at a constant speed 4.50 m/s.
(a) Find its centripetal acceleration.
(b) It continues to fly along the same horizontal arc, but increases its speed at the rate of 1.45 m/s2. Find the acceleration in this situation at the moment the hawk's speed is 4.50 m/s.

magnitude m/s2
direction ° from the direction of velocity towards center of the circle

Explanation / Answer

Here ,

speed of electron , u = 2.22 *10^6 m/s

a)

force on the electron = m u^2/r

force on the electron = 9.11 *10^-31 * (2.22 *10^6)^2/(0.528 *10^-10)

force on the electron = 8.503 *10^-8 N

the force on the electron is 8.503 *10^-8 N

b)

centripetal acceleration of electron = v^2/r

centripetal acceleration of electron = (2.22 *10^6)^2/(0.528 *10^-10)

centripetal acceleration of electron = 9.334 *10^22 m/s^2

the centripetal acceleration of electron is 9.334 *10^22 m/s^2

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