Tutorial ExerciseA 2.0-g particle moving at 5.5 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object.(a) Find the speed of each particle after the collision.(b) Find the speed of each particle after the collision if the stationary particle has a mass of 10 g.(c) Find the final kinetic energy of the incident 2.0-g particle in the situations described in parts (a)and (b).In which case does the incident particle lose more kinetic energy?Step 1The initial velocity of the target object is zero (v2i= 0). Let m, be the mass of the first particle, v,, its initialvelocity, and v2r its final velocity. Let m, be the mass of the target object and vr its final velocity. Fromconservation of momentum before and after the collision, we have the following equation.m V1f + m2v2f = m,V1 + 0For a perfectly elastic head-on collision, we have the following relationship between the objects' final velocitiesand initial velocities derived from conservation of momentum and conservation of kinetic energy.-- ("x- v2)V1i - V2iBecause v2, = 0, we can solve for the final velocity of the second object.V2f = V1f+ V1/Substituting equation (2) above into equation (1) and solving for v,, we havem, - m,Vif =m, + m2Substituting this result into equation (2) and simplifying, we have2m1V2f =\m, + m2(a) If m, = 2.0 g, m, = 1.0 g, and v = 5.5 m/s, thenm, - m21.0 g/5.5Vif =m, + m2m/s) =5.5m/s,%3D3.0 g3.0andms) = (2m145.5\m, + m23.0 gYour response differs from the correct answer by more than 10%. Double check your calculations.3.0m/s.SubmitSkip (you cannot come back)

As pic indicate your answer differs by more than 10% .The values putted in the eqn are correct…

(a) If m, = 2.0 g, m, = 1.0 g, and v = 5.5 m/s, then %3D m-m2 m, + m2. 1.0 g 5.5 5.5 3.0 g m/s) = m/s, 3.0 and 2m, 4 m/s) = 5.5 mi+ m2. 3.0 g Your response differs from the correct answer by more than 10%. Double check your calculations. 3.0 m/s.

(a) If m, = 2.0 g, m, = 1.0 g, and v = 5.5 m/s, then %3D m-m2 m, + m2. 1.0 g 5.5 5.5 3.0 g m/s) = m/s, 3.0 and 2m, 4 m/s) = 5.5 mi+ m2. 3.0 g Your response differs from the correct answer by more than 10%. Double check your calculations. 3.0 m/s.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum And Collisions

Section: Chapter Questions

Problem 29P: a man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is...

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