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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

1 Answer

3 votes

Answer:

v = 4374 Km/h

Step-by-step 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

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