- #1
Kudo Shinichi
- 109
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HELP!Cars collision problem
You are a police officer analyzing the scene of a collision. On a rainy afternoon, a Porsche Carrera, of mass 1380kg, was traveling due north along Hwy38 near Verona, Ontario when a 2304kg SUV pulled out of a driveway (travelling due west) in front of the Porsche. As soon as the vehicles collided, they stuck together. Both drivers immediately applied their brakes, causing the wheel to lock. You measure the skid marks and see that the two vehicles skidded together at an angle of 40 degree west of the Porsche’s original due north direction for 11.3m. the coefficient of kinetic friction between wet concrete and rubber is 0.5.
The SUV driver claims that the Porsche was speeding. How fast was the Porsche actually travelling? Knowing that the speed limit along Hwy38 is 80km/h, should you charge the Porsche driver for speeding?
ma=mg*sin[tex]\theta[/tex]-[tex]\mu[/tex](k)*mg*cos[tex]\theta[/tex]
m1v1+m2v2=m1v1'+m2v2'
I found out the acceleration for both after both cars collide by using
a=(mg*sin40-mu(k)*mg*cos 40)/m
where, m=3684 g=9.8
I know that according to the Law of conservation of Momentum P=P'
Then, I found out the equation for the problem:
mass1*velocity1+mass2*velocity2=(mass1+mass2)*velocity
(mass1+mass2)*velocity because both cars stick together
Now my question is how can I find all of the velocity for the equation, since I don't have time I can't use v=v+at
Thank you for helping
Homework Statement
You are a police officer analyzing the scene of a collision. On a rainy afternoon, a Porsche Carrera, of mass 1380kg, was traveling due north along Hwy38 near Verona, Ontario when a 2304kg SUV pulled out of a driveway (travelling due west) in front of the Porsche. As soon as the vehicles collided, they stuck together. Both drivers immediately applied their brakes, causing the wheel to lock. You measure the skid marks and see that the two vehicles skidded together at an angle of 40 degree west of the Porsche’s original due north direction for 11.3m. the coefficient of kinetic friction between wet concrete and rubber is 0.5.
The SUV driver claims that the Porsche was speeding. How fast was the Porsche actually travelling? Knowing that the speed limit along Hwy38 is 80km/h, should you charge the Porsche driver for speeding?
Homework Equations
ma=mg*sin[tex]\theta[/tex]-[tex]\mu[/tex](k)*mg*cos[tex]\theta[/tex]
m1v1+m2v2=m1v1'+m2v2'
The Attempt at a Solution
I found out the acceleration for both after both cars collide by using
a=(mg*sin40-mu(k)*mg*cos 40)/m
where, m=3684 g=9.8
I know that according to the Law of conservation of Momentum P=P'
Then, I found out the equation for the problem:
mass1*velocity1+mass2*velocity2=(mass1+mass2)*velocity
(mass1+mass2)*velocity because both cars stick together
Now my question is how can I find all of the velocity for the equation, since I don't have time I can't use v=v+at
Thank you for helping