Particle Collision: 3.00kg & 4.00kg Particles

Click For Summary
SUMMARY

The discussion centers on the collision of a 3.00 kg particle with a velocity of v = (-4.00 m/s) i + (-5.00 m/s) j and a 4.00 kg particle with a velocity of v = (5.60 m/s) i + (-1.80 m/s) j. To find the final velocity after the collision, the momentum formula p = mass * velocity is applied, leading to the equation vf = (p1 + p2) / (m1 + m2). Additionally, to determine the angle of the resultant velocity, the tangent function is utilized: tan(θ) = p2 / p1, with θ calculated as θ = tan^-1(p2 / p1).

PREREQUISITES
  • Understanding of momentum and its formula (p = mass * velocity)
  • Familiarity with vector addition and subtraction
  • Knowledge of trigonometric functions, specifically tangent
  • Basic understanding of Pythagorean theorem for magnitude calculations
NEXT STEPS
  • Study the principles of conservation of momentum in collisions
  • Learn about vector addition in physics, including unit-vector notation
  • Explore the use of trigonometric functions in physics problems
  • Investigate the application of the Pythagorean theorem in calculating resultant velocities
USEFUL FOR

Physics students, educators, and anyone interested in understanding particle collisions and momentum calculations in mechanics.

cgarr017
Messages
10
Reaction score
0
Particle Collision Two A collision occurs between a 3.00 kg particle traveling with velocity v = (-4.00 m/s) i + (-5.00 m/s) j and a 4.00 kg particle traveling with velocity v = (5.60 m/s) i + (-1.80 m/s) j. The collision connects the two particles. What then is their velocity in each of the following notations?
(a) unit-vector notation
( wrong check mark m/s ) i + ( wrong check mark m/s ) j
(b) magnitude-angle notation
m/s angle ° (counterclockwise from the positive x axis)

I would show an attempt at the solution but i have no idea what the formulas are or where to start
 
Physics news on Phys.org
nobody?
 
Hey a little late, but I think for this one you have to use

p= momentum= (mass*velocity)

vf = (p1 + p2)/(m1+m2)

for angle, use tangent.

tan(o) = p2/p1

(o) = tan^-1(p2/p1).


With respect to vector notation, i think you just add and subtract, but for angle use Pythagoras, cause you will need v1, and v2 as a quantity.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 13 ·
Replies
13
Views
1K
Replies
17
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
2
Views
1K
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K