Show all work clearly and neatly. Beginning with this problem, you must use the Problem SolvingGuidelines handout.A car of mass mi traveling north at a velocity of vio,x Collides with a truck of mass m2 traveling south at a velocity of v20,xThey lock together after the collision. ASsume north is positive. Note that the signs of the velocities are "hidden" withinthe symbols; that is one velocity is positive and one is negative - do not add additional negative "in front" of the symbol.(a) Determine an algebraic expression for the velocity of the combined car/truck.(b) Determine an algebraic expression for the acceleration of the combined car/truck if the coefficient of kinetic frictionbetween the tires andpavement isИк.(c) Determine an algebraic expression for the final position of the combined car/truck when they come to rest. Theanswer should be:mv10,x +m2v20,24x8 (m, +m,)

Question
Asked Oct 24, 2019
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Show all work clearly and neatly. Beginning with this problem, you must use the Problem Solving
Guidelines handout.
A car of mass mi traveling north at a velocity of vio,x Collides with a truck of mass m2 traveling south at a velocity of v20,x
They lock together after the collision. ASsume north is positive. Note that the signs of the velocities are "hidden" within
the symbols; that is one velocity is positive and one is negative - do not add additional negative "in front" of the symbol.
(a) Determine an algebraic expression for the velocity of the combined car/truck.
(b) Determine an algebraic expression for the acceleration of the combined car/truck if the coefficient of kinetic friction
between the tires and
pavement is
Ик.
(c) Determine an algebraic expression for the final position of the combined car/truck when they come to rest. The
answer should be:
mv10,x +m2v20,
24x8 (m, +m,)
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Show all work clearly and neatly. Beginning with this problem, you must use the Problem Solving Guidelines handout. A car of mass mi traveling north at a velocity of vio,x Collides with a truck of mass m2 traveling south at a velocity of v20,x They lock together after the collision. ASsume north is positive. Note that the signs of the velocities are "hidden" within the symbols; that is one velocity is positive and one is negative - do not add additional negative "in front" of the symbol. (a) Determine an algebraic expression for the velocity of the combined car/truck. (b) Determine an algebraic expression for the acceleration of the combined car/truck if the coefficient of kinetic friction between the tires and pavement is Ик. (c) Determine an algebraic expression for the final position of the combined car/truck when they come to rest. The answer should be: mv10,x +m2v20, 24x8 (m, +m,)

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Expert Answer

Step 1
  1. a) Let the velocity of the combine car and truck system after the collision be v.

Apply conservation of momentum and solve for v.

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+ т,) v тviox + m,у,ок — (т, тV10x + ти20х V = (т, +т,)

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Step 2
  1. b) Let the acceleration of the combine car and truck system after the collision be a.

Since there is no other force acting on the combine car and truck system expect kinetic friction therefore from newton’s second law,

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(m+m)a N (m,+m,)a 4, (m + m, )g a g

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Step 3
  1. c) write the newton’s equation of motion and plug the necessary values to find the final p...
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2ax 2 m,v m,V20x 0 10x 0 and vv) -2(4g)x (т, + т,) 2 (m,v10xm,v20x x 24g(mm)

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