A police investigator arrives at an accident scene where he finds that a gray 1000-kg Honda Civic has collided with a red 2000-kg SUV. From the skid marks, he is able to determine that the Honda was initially travel ing due east when the driver hit the brakes, while the SUV was going due north. After the collision, the Honda skidded 37 east of north (what other angle could it bel) for a distance of 3.5 m, whife the SUV skidded 37 north of east for a distance of 4.0 m. The pre-collision skid marks of the Honda 435 m 37 215 m are 43.5 m Idng and the pre-collision skid marks of the SUV are 21.5 m long, as shown. The coefficient of friction of Honda tires with the pavement is 0.7, while that of the SUV tires is 0.8. Help the investigator work out the initial speeds of the two vehicles before they hit their brakes. a) From the lengths of the skid marks after the collision, find the speeds of cach vehide just after the collision. b) Use conservation of momentum during the collision to find the speed of each vehicle just before the collision. (Hint: Remember that momentum is a vector.] ) From the lengths of the skid marks before the collision, determine the initial speeds of the two vehicles before they hit their brakes

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Chapter1: Units, Trigonometry. And Vectors
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A police investigator arrives at an accident scene where he finds that
a gray 1000-kg Honda Civic has collided with a red 2000-kg SUV. From
the skid marks, he is able to determine that the Honda was initially travel-
ing due east when the driver hit the brakes, while the SUV was going due
north. After the collision, the Honda skidded 37 east of north (what other
angle could it be?) for a distance of 3.5 m, whife the SUV skidded 37° north
of east for a distance of 4.0 m. The pre-collision skid marks of the Honda
are 43.5 m lớng and the pre-collision skid marks of the SUV are 21.5 m
long, as shown. The coefficient of friction of Honda tires with the pavement
is 0.7, while that of the SUV tires is 0.8. Help the investigator work out the initial specds of
43.5 m
21.5 m
the two vehicles before they hit their brakes.
a) From the lengths of the skid marks after the collision, find the speeds of cach vehide
just after the collision.
b) Use conservation of momentum during the collision to find the speed of each vehicle
just before the collision. [Hint: Remember that momentum is a vector.
) From the lengths of the skid marks before the collision, determine the initial speeds
of the two vehicles before they hit their brakes.
Transcribed Image Text:A police investigator arrives at an accident scene where he finds that a gray 1000-kg Honda Civic has collided with a red 2000-kg SUV. From the skid marks, he is able to determine that the Honda was initially travel- ing due east when the driver hit the brakes, while the SUV was going due north. After the collision, the Honda skidded 37 east of north (what other angle could it be?) for a distance of 3.5 m, whife the SUV skidded 37° north of east for a distance of 4.0 m. The pre-collision skid marks of the Honda are 43.5 m lớng and the pre-collision skid marks of the SUV are 21.5 m long, as shown. The coefficient of friction of Honda tires with the pavement is 0.7, while that of the SUV tires is 0.8. Help the investigator work out the initial specds of 43.5 m 21.5 m the two vehicles before they hit their brakes. a) From the lengths of the skid marks after the collision, find the speeds of cach vehide just after the collision. b) Use conservation of momentum during the collision to find the speed of each vehicle just before the collision. [Hint: Remember that momentum is a vector. ) From the lengths of the skid marks before the collision, determine the initial speeds of the two vehicles before they hit their brakes.
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