Use the worked example above to help you solve this problem. A car with mass 1.5

Question

Use the worked example above to help you solve this problem. A car with mass 1.53 X 10^3 kg traveling east at a speed of 26.9 m/s collides at an intersection with a 2.55 X 10^3 kg van traveling north at a speed of 17.3 m/s, as shown in the figure. Find the magnitude and direction of the velocity of the wreckage after the collision, assuming that the vehicles undergo a perfectly inelastic collision (that is, they stick together) and assuming that friction between the vehicles and the road can be neglected. magnitude m/s direction degree counterclockwise from the +x-axis A 3.27 kg object initially moving in the positive x-direction with a velocity of +5.04 m/s collides with and sticks to a 2.12 kg object initially moving in the negative y-direction with a velocity of -2.62 m/s. Find the final components of velocity of the composite object. (Indicate the direction with the sign of your answer.)

Explanation / Answer

2)

Given that

The mass m1 =3.27kg

The speed of the first mass u1 =+5.04m/s

The second mass m2 =2.12kg

The speed of the second mass u2 =-2.62 m/s along the -ve y direction

Let v be the speedof the composite mas after the collision

As the collision is perfectly inealstic

m1u1+m2u2 =(m1+m2)v

Now in the horizontal direction m1u1 =(m1+m2)vcostheta

vcostheta =m1u1/(m1+m2) =(3.27)(5.04)/(3.27+2.12) =3.057m/s

In the vertical direction

m2u2=(m1+m2)vsintheta

vsintehta =m2u2/(m1+m2) =(2.12)(-2.62 m/s)/(3.27+2.12) =-1.03m/s

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