Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 13.5 m/s toward the east andthe other is traveling north with speed v2 Neither driver sees the other. The vehicles collide in the intersection and stickangle of 65.0° north of east. Determine the initial speed vtogether, leaving parallel skid marks at anof the northward-moving vehicle.m/sThe speed limit for both roads is 35 mi/h and the driver of the northward-moving vehicle claims he was within the speedlimit when the collision occurred. Is he telling the truth?YesNo

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Asked Oct 5, 2019
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Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 13.5 m/s toward the east and
the other is traveling north with speed v2 Neither driver sees the other. The vehicles collide in the intersection and stick
angle of 65.0° north of east. Determine the initial speed v
together, leaving parallel skid marks at an
of the northward-
moving vehicle.
m/s
The speed limit for both roads is 35 mi/h and the driver of the northward-moving vehicle claims he was within the speed
limit when the collision occurred. Is he telling the truth?
Yes
No
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Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 13.5 m/s toward the east and the other is traveling north with speed v2 Neither driver sees the other. The vehicles collide in the intersection and stick angle of 65.0° north of east. Determine the initial speed v together, leaving parallel skid marks at an of the northward- moving vehicle. m/s The speed limit for both roads is 35 mi/h and the driver of the northward-moving vehicle claims he was within the speed limit when the collision occurred. Is he telling the truth? Yes No

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Expert Answer

Step 1

Given:

Initial velocity of the car moving in east direction = 13.5 m/s

Initial velocity of the car moving in north direction = v2i

Parallel skid marks at an angle = 650 north of east

Let final velocity of the vehicles = vf

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Step 2

By the conservation law of momentum

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in the eastward direction mv, =2mv, cos0 .. 1 where, m mass of the vehicle v = velocity of vehicle in east dir ection v final velocity of the system similarly in the northward directon ...2) mv2=2mv,sin0 where, V2iinitial vel o city of the vehicle in north direction

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Step 3

on dividing equatio...

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2mv/sino 2mv, cos mуi mу, on solving this equation Vi=v,tane i=13.5tan65 i= 28.95m/s i 29m/s

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