You are standing on a sheet of ice that covers the football stadium parking lot

Question

You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction between your feet and the ice. A friend throws you a 0.375 kg ball that is traveling horizontally at 9.50 m/s . Your mass is 65.0 kg. A. If you catch the ball, with what speed do you and the ball move afterwards? B. If the ball hits you and bounces off your chest, so that afterwards it is moving horizontally at 8.30 m/s in the opposite direction, what is your speed after the collision?

Explanation / Answer

You are initially at rest.Your initial velocity is zero.Hence your initial momentum p(i) is zero Mass of ball 'm' = 0.400 kg velocity of the ball 'u' =11.1 m/s Initial momentum of ball p!(i)=mu=0.400*11.1 = 4.44 kgm/s Total initial momentum of you and ball system=p(i)+p!(i)=4.44 kgm/s Your mass M=74.8 kg your speed after you catch the ball v = ? Total final momentum of you and ball system p(f) =(M+m)v=(74.8+0.4)v=76.2v As no external force has acted, the total momentum remains conserved Total final momentum of you and ball system = Total initial momentum of you and ball system 75.2 v= 4.44 v =4.44 /75.2=0.05904 m/s You and ball move forward with speed 0.05904 m/s ______________________________________… When the ball hits you and bounces off your chest, so afterwards it is moving horizontally at 9.00 m/s in the opposite direction then as ball moves in opposite direction its final velocity will have negative sign, v= - 9.00 m/s Final momentum of the ball=mu!=0.4[ -9]= - 3.6 kgm/s Your final momentum=MV=74.8V Total final momentum of you and ball p(f)=74.8V+(-3.6) As no external force has acted, the total momentum remains conserved Total final momentum of you and ball system = Total initial momentum of you and ball system 74.8V+(-3.6) =4.44 74.8V=4.44+3.6= 8.04 V=8.04 / 74.8 =0.10784 m/s your speed after the collision is 0.10784 m/s in the direction of initial velocity of the ball

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.