A ball of mass 3.2 kg and speed 1.0 m/s collides head-on with a 2.5 kg ball at rest. If the collision is perfectly elastic, calculate the velocities of the two balls after the collision.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 40P
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Kindly provide the solution to the following question using the GRASS method. (Unit: Energy and Momentum).

 

The images attached are the formulas for this unit and the question. Please make sure to show all your work using the GRASS (given, required, analysis, solution, and statement) method and using formulas from this unit (Energy and Momentum).

A ball of mass 3.2 kg and speed 1.0 m/s collides head-on with a 2.5 kg ball at rest. If
the collision is perfectly elastic, calculate the velocities of the two balls after the
collision.
Transcribed Image Text:A ball of mass 3.2 kg and speed 1.0 m/s collides head-on with a 2.5 kg ball at rest. If the collision is perfectly elastic, calculate the velocities of the two balls after the collision.
Energy
W = F d
1
Eg == k
EE
-kxx²
2
Momentum
→
Px = Px
E₁ = mgh_E₁₂ = 12m²
Eg
Ex
2
T=2
Py = Py
Unit 2 Energy & Momentum
m
V k
mv Em = Ep + Ek
Px = mix
1 k
2 Vm
==
Py = mvy
F
spring
E₁ = E + Ek
EFAT = Ap
= kx Eth=Fd
Fnet = 4P
At
p = p²
Ek = Ek'
Ек
Transcribed Image Text:Energy W = F d 1 Eg == k EE -kxx² 2 Momentum → Px = Px E₁ = mgh_E₁₂ = 12m² Eg Ex 2 T=2 Py = Py Unit 2 Energy & Momentum m V k mv Em = Ep + Ek Px = mix 1 k 2 Vm == Py = mvy F spring E₁ = E + Ek EFAT = Ap = kx Eth=Fd Fnet = 4P At p = p² Ek = Ek' Ек
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