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A freight train car with a mass of 1.2 _ 104 kilograms, travelling with a velocity of 23 meters/second, collides with a stationary freight train car of equal mass. What is the momentum of the system after the collision?

A1.2 × 105 kilogram meters/second
B1.4 × 105 kilogram meters/second
C2.4 × 104 kilogram meters/second
D2.8 × 105 kilogram meters/second

Verified Answer :

To answer this question , we can use this formula :

momentum  = mass x velocity

1.2  x  10^4 x 23

= D. 2.8 x 105 kilogram meters/second

hope this helps

Answer: Option (D) is the correct answer.

Explanation:

Momentum is defined as the ability or tendency of an atom to continue moving.

The relation between momentum, velocity and mass is as follows.

                             p = m × v

where,          p = momentum

                    m = mass

                    v = velocity

It is given that mass is \(1.2 \times 10^{4} kg\) and velocity is 23 m/s. Therefore, calculate momentum as follows.

                             p = m × v

                                = \(1.2 \times 10^{4} kg \times 23 m/s\)

                                = \(27.6 \times 10^{4} kg m/s\)

                                = \(2.8 \times 10^{5} kg m/s\)

Thus, we can conclude that momentum of the system after the collision is \(2.8 \times 10^{5} kg m/s\).