What is the magnitude of the change in momentum of the racquet ball?

  • Thread starter Thread starter aszymans
  • Start date Start date
  • Tags Tags
    Ball Inelastic
AI Thread Summary
The discussion focuses on calculating the change in momentum of a racquet ball that collides inelastically with a wall. The initial velocity is 12.4 m/s, and the final velocity after the collision is -8.2 m/s, with the mass of the ball being 0.247 kg. The correct approach to find the change in momentum is to use the formula Δ(mv) = m*v(final) - m*v(initial). The calculated change in momentum results in a magnitude of approximately 5.09 kg·m/s, regardless of the sign, as only the magnitude is required. The emphasis is on correctly applying the momentum change formula rather than focusing on the sign of the result.
aszymans
Messages
11
Reaction score
0

Homework Statement


Now the racquet ball is moving straight toward the wall at a velocity of vi = 12.4 m/s. The ball makes an inelastic collision with the solid wall and leaves the wall in the opposite direction at vf = -8.2 m/s. The ball exerts the same average force on the ball as before. Mass of ball =.247 kg



Homework Equations


What is the magnitude of the change in momentum of the racquet ball?


The Attempt at a Solution


so I took
m*v(initial)=m*v(final) and got 3.0628 and -2.0254 respectively. so I subtracted the two and got -5.0882. I don't feel like this is correct.
 
Physics news on Phys.org
What is incorrect is to say m*v(initial)=m*v(final) because that is simply not true. It is correct to say that the change in momentum Δ(mv)=m*v(final)-m*v(initial), so if the final momentum is negative and the initial momentum is positive, you end up essentially adding two negative numbers and that's that.
 
aszymans said:

Homework Statement


Now the racquet ball is moving straight toward the wall at a velocity of vi = 12.4 m/s. The ball makes an inelastic collision with the solid wall and leaves the wall in the opposite direction at vf = -8.2 m/s. The ball exerts the same average force on the ball as before. Mass of ball =.247 kg



Homework Equations


What is the magnitude of the change in momentum of the racquet ball?


The Attempt at a Solution


so I took
m*v(initial)=m*v(final) and got 3.0628 and -2.0254 respectively. so I subtracted the two and got -5.0882. I don't feel like this is correct.

Many strange "formulae" and calculations, but probably almost the correct answer.

Generally change in a quantity means Final - Initial [which you actually ended up doing!].

Depending which direction you decide to call positive will mean a final answer of -5.etc, like you got in an unusual way, or +5.etc.

The question only asked for the magnitude of the change, so the question of a +ve or -ve answer is irrelevant.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top