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A 94 kg running back, moving at 2.97 m/s, runs into a 107 kg defender who is initially at rest. What is the speed of the players just after their perfectly inelastic collision?

A. 1.72 m/s
B. 2.11 m/s
C. 2.36 m/s
D. 2.62 m/s

Answer :

Final answer:

To find the speed of the players just after their perfectly inelastic collision, we can use the law of conservation of momentum.

Explanation:

To find the speed of the players just after their perfectly inelastic collision, we can use the law of conservation of momentum. In an inelastic collision, kinetic energy is not conserved, but momentum is. The equation for conservation of momentum is:

mass of object 1 * velocity of object 1 + mass of object 2 * velocity of object 2 = total mass of the system * final velocity of the system

Plugging in the given values:

(94 kg * 2.97 m/s) + (107 kg * 0 m/s) = (94 kg + 107 kg) * final velocity of the system

Simplifying the equation:

279.18 kg * m/s = 201 kg * final velocity of the system

Dividing both sides by 201 kg:

final velocity of the system = 279.18 kg * m/s / 201 kg

final velocity of the system = 1.39 m/s

So, the speed of the players just after their perfectly inelastic collision is approximately 1.39 m/s.

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