What velocity in km/hr would it take to accelerate a 2 kg object to the same momentum of a 1500 kg object with a velocity of 1.62 m/s

v = 4374 Km/h

Explanation:

Given that,

Mass of the smaller object, m = 2 Kg

Mass of the bigger object, M = 1500 Kg

Velocity of the bigger object, V = 1.62 m/s

Velocity of the smaller object, v = ?

The product of its mass and velocity of a body is equal to its linear momentum. It is given by the formula

                                p = mv  Kg m/s

To find the momentum of the bigger object, substitute M and V in the above equation

                                p = 1500 Kg x 1.62 m/s

                                   = 2430 Kg m/s

The velocity imparted to the small body to attain this momentum is given by the relation

                               v = p/m  m/s

                                   = 2430 Kg m/s  /  2 Kg

                                   = 1215 m/s

By converting the velocity to Km/h

                                v = 4374 km/h

Hence, the velocity of the 2 Kg object is v = 4374 km/h

the answer would be c. motion and direction

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