a)Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j.
b)How far, in meters, will the vehicles slide after the collision?
The mass of the car
The velocity of the car
The mass of the truck
The velocity of the truck
According to law of conservation of momentum the momentum in all the direction is conserved, considering the along the "i" direction we can write:
Now, consider the momentum conservation along the "j" direction:
Therefore, the velocity of the vehicles after the collsion is:
By substituting the correspondingvalues, we get the velocity of the vehciles after the collision as:
After the collision the cinetic energy of the both vehicles combined will be utilized to do work against the dricion force (given
Now, according to work energy theorem the we can write:
Where "d" is the distance travelled by the wreckage after the collision. Substituting the corresponding values, we get:
Hence, the distance travelled by the wreckage after the collsion is 7.958 m.
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 235 m, and the car completes the turn in 33.0 s. (Enter only the answers in the input boxes separately given.)
(a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors
1. (Enter in box 1)
(b) Determine the car's average speed.
3. ( Enter in box 3) m/s
(c) Determine its average acceleration during the 33.0-s interval.
4. ( Enter in box 4)
5. ( Enter in box 5)