Question

A kicking-simulation attachment goes on the front of a wheelchair, allowing athletes with mobility impairments to play soCcer. The athletes load up the spring shown through a ratchet mechanism that pulls the 2.75-kg "foot" back to the position 1. They then release the "foot" to impact the 0.45-kg soccer ball that is rolling towards the "foot" with a speed of 7 m/s at an angle 0 30° as shown. The impact occurs with a coefficient of restitution e 0.75 when the foot is at position 2 where the spring is unstretched. The effective friction coefficient during rolling is Pk= 0.1 400 mm 300 mm 300 mm Determine the necessary spring coefficient to make the ball roll 30 meters. N/m The necessary spring coefficient is k= ww

Answer 1

bven O.45 Kg 7mls 0.15 3 D diastan Soae ball Vor Fron tiise nontUbn 7 Cos 30 Cmforent Hangential velecity 3p m Socce bsu aftei maing 30 60X HX9 6oxo1x 7,67mis

manal vela Vin- Juy-r 7,17-3-5 SenCoefbicient aenitutí d) Von-V 6.63 V 07.5 6.F3Y 075 (606 +0) 4550.75 63-4r 0 75UV= 2-2f Conservalien O Mas (vi) m (v-u) (b43-6.06) 92.75v- .,4 5 27s(-) = D126 V-U 2.1 0126 2.406 U1.3m S / 254 m/s

ange attetimpzet tan Von 3.5 te 6. P3 27.13 SPring Cfficen 300 40 1303 N/m K 130-76546Nn Rejuired Spming Cetbident is 2-