A car of mass 1101 kg traveling at 18.39 m/s collides and sticks to a car with a mass of 1050 kg initially at rest. What is the resulting velocity of the two cars right after the collision, assuming that there's no friction present?

Respuesta :

Answer: the resulting velocity of the two cars right after the collision is 9.41 m/s

Explanation:

The formula for calculating momentum is expressed as

momentum = mass x velocity

According to the law of conservation of momentum, initial momentum = final momentum

The formula for initial momentum is

m1u1 + m2u2

where

m1 = mass of first car

u1 = initial velocity of first car

m2 = mass of second car

u2 = initial velocity of second car

From the information given,

m1 = 1101

u1 = 18.39

m2 = 1050

u2 = 0 because it is at rest

Initial momentum = 1101 x 18.39 + 1050 x 0 = 20247.39

Since the cars stick together after collision, they would have a common velocity, V. Thus,

final momentum = (m1 + m2)V

final momentum = (1101 + 1050)V = 2151 V

Thus,

20247.39 = 2151 V

V = 20247.39/2151

V = 9.41

the resulting velocity of the two cars right after the collision is 9.41 m/s

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