Question

A ball (mass =m) is dropped from the rest from the top of Taipei 101(set top is O m). Show the act mg velocity v is a tanh with air resistance F = cū2 and a = m с

Answer 1

Fair = con Fg = mg - Ftot = Fg - Fair = mg-cul Fair fg > i. If the acceleration of the ball is a ma= Ftot = mg-cu2 - үй die It due ing - ing_co2 = m(g- h ( ) = c m _ B) =endt [ considering A= mg my او- ه do A-u2 = dit het e=√à Sino do=ra los o do dt ra Coso do À (1- Sino) Seco do = n a dt = h Jing at Integrating I sec Odo - seg at > £ In / It Sino 1) Jeg t te ( comtat) m 1- Sino there ezokat too, o=0] reg t 1 = { ln / 14 % I- UVA 1+%A 2 seat - e leg n -1 *+) + 6+ (it erg * la 11-e2eht v = VÁ - А evento a te It ezret 7 & = -5mg tann seget a=sing [ where c m m m - 10/= a tank act

Fair = con Fg = mg - Ftot = Fg - Fair = mg-cul Fair fg > i. If the acceleration of the ball is a ma= Ftot = mg-cu2 - үй die It due ing - ing_co2 = m(g- h ( ) = c m _ B) =endt [ considering A= mg my او- ه do A-u2 = dit het e=√à Sino do=ra los o do dt ra Coso do À (1- Sino) Seco do = n a dt = h Jing at Integrating I sec Odo - seg at > £ In / It Sino 1) Jeg t te ( comtat) m 1- Sino there ezokat too, o=0] reg t 1 = { ln / 14 % I- UVA 1+%A 2 seat - e leg n -1 *+) + 6+ (it erg * la 11-e2eht v = VÁ - А evento a te It ezret 7 & = -5mg tann seget a=sing [ where c m m m - 10/= a tank act