The velocity of the players just after the tackle is 0.91 m/s moving eastward and the decrease in kinetic energy is -1488 J
Linear momentum
The law of conservation of linear momentum states that:
Momentum before collision = momentum after collision
Hence:
Where m₁, m₂ are masses of the object, u₁, u₂ are the object initial velocity and v is the velocity of both objects after collision.
a)
- m₁u₁ + m₂u₂ = (m₁ + m₂)v
- 91(5) + 95(-3) = (91 + 95)v
- v = 0.91 m/s
The velocity of the players just after the tackle is 0.91 m/s moving eastward.
b)
Initial kinetic energy = (1/2)(91)(5)² + (1/2)(95)(-3)² = 1565 J
Final kinetic energy = (1/2)(91 + 95)(0.91)² = 77 J
The decrease in kinetic energy = 77 - 1565 = -1488 J
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