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A stationary 165 kg football player is tackled by a 178 kg player running at 8 m/s. How fast are they moving after the collision?

Answer :

After the impact, the two players are moving side by side at a speed of roughly 4.12 m/s.

Does the principle of conservation of momentum is constant inside a certain problem domain?

Momentum is never created or destroyed inside a problem domain, according to the principle of momentum conservation. Momentum is only changed by the action of forces as they are described by Newton's equations of motion.

[tex]p1 = m1 * v1 + m2 * v2[/tex]

[tex]p1 = 165 kg * 0 m/s + 178 kg * 8 m/s = 1424 kg*m/s[/tex]

[tex]p2 = (m1 + m2) * v[/tex]

Substituting the values, we get:

[tex]p2 = (165 kg + 178 kg) * v = 343 kg * v[/tex]

Since the total momentum is conserved, we can equate p1 and p2:

p1 = p2

[tex]165 kg * 0 m/s + 178 kg * 8 m/s = 343 kg * v[/tex]

[tex]v = (165 kg * 0 m/s + 178 kg * 8 m/s) / 343 kg ≈ 4.12 m/s[/tex]

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