Determine the speed of car A and B. Item 1 4 The 15-Mg tank car A, and 25 Mg eig

Question

Determine the speed of car A and B.

Item 1 4 The 15-Mg tank car A, and 25 Mg eight car B travel towards each other win the welootes shown. the coefficient of bumpei ise 08. determine the speed of each car just aner the oolision. RSON Part A Determine the speed of the eur A just after the colision. your answer to three significant figures and inelude the appropriate units. Value Units Incorrect: Try Again: 4 attempts remaining Determine the direction of the velocity of the ar Aiure The velocity is directed The velocity is dredsud to the My Answers MasterinES

Explanation / Answer

we will consider directon to the right to be positive.

let velocity of A after collision is Va to the left and velocity of B after collision to be Vb to the right.

conserving linear momentum:

15*5-25*7=-15*Va+25*Vb

==>-15*Va+25*Vb=-100...(1)

coefficient of restitution is defined as ratio of relative velocity after collision and relative velocity before collision

==>0.8=(velocity of A after collision-velocity of B after collsion)/(velocity of A before collision-velocity of B before collsion)

==>0.8=(-Va-Vb)/(5-(-7))

==>Va+Vb=-12*0.8=-9.6...(2)

solving for equation 1 and equaton 2 simultaneously,

Va=-3.5 m/s

Vb=-6.1 m/s

part A:

so speed of the car A just after collision is 3.5 m/s

part B:

as Va is negative, velcoity of car is towards right.

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