The high-speed police chase ends at an intersection as a 2,150-kg Ford Explorer (driven by Robin) traveling south at 35 m/s collides with a 18,250-kg garbage truck moving east at 1.55 m/s. The Explorer and the garbage truck entangle together in the middle of the intersection and move as a single object. Determine the post-collision speed two entangled vehicles.

The post-collision speed of the two entangled vehicles is 5.08m/s

Explanation:

According to the law of conservation of momentum which states that the sum of momentum of a body before collision is equal to the sum of the collision of the bodies after collision. The bodies moves with the same velovity after collision.

Mathematically, mu + MU = (m+M)v

m and M are the masses of the bodies

u and U are their respective velocities

v is their common velocity

Momentum = mass*velocity

BEFORE COLLISION;

Momentum of Ford Explorer = 2150*35

= 75,250kgm/s

Momentum of the garbage truck = 18, 250 * 1.55

= 28,287.5kgm/s

AFTER COLLISION;

Note that the body will move with the same velocity after collision.

Momentum of the bodies after entangling = (2,150+18,250)v

= 20,400v kgm/s (v is their common velocity)

According to thr law;

75,250+28,287.5 = 20,400v

103,537.5 = 20,400v

v = 103,537.5/20,400

v = 5.08m/s

The post-collision speed of the two entangled vehicles is 5.08m/s

6 cos 34, 6 sin 34 trig

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.