Grade 12Mechanics
1.. Explain how conservation of momentum applies to a hand ball bouncing off a wall??
1.. Explain how conservation of momentum applies to a hand ball bouncing off a wall??
1 Answer
Arun
Law of conservation of linear momentum states that, in an isolated system (no external force), the algebraic sum of momenta of bodies, along any straight line, remains constant and is not changed due to their mutual action and reaction on each other.The momentum of particle (p) is equal to the mass of particle (m) times the velocity of particle (v).So, p = mv …… (1)Let us consider m is the mass of the ball and v is the velocity of the ball when the ball is collides with wall.So using equation (1), the momentum of the ball before collision (p1) will be,p1= mv …… (2)After collision, when the ball re bounces, the velocity of the ball will be, -v.So again using equation (1), the momentum of the ball after collision (p2) will be,p2= -mv …… (3)Conservation of linear momentum states that, the algebraic sum of momenta of bodies, along any straight line, remains constant and is not changed due to their mutual action and reaction on each other.p1 + p2 = 0So, mv + (-mv) = 0 …… (4)From equation (4) we observed that, linear momentum of the hand ball is conserved
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