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An 80.0kg hockey player collides head-on with a 65.0kg hockey player. If the more massive player experiences a -3.50(m)/(s²) acceleration, what acceleration does the less massive player experience?

Answer :

The less massive player experiences an acceleration of 4.31 m/s².

In this problem, we are dealing with Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. If the 80.0-kg hockey player (Player 1) undergoes an acceleration of -3.50 m/s², we can find the force exerted on Player 1 using the formula:

F = m * a

Here, m is the mass of Player 1, and a is their acceleration:

F = 80.0 kg * -3.50 m/s² = -280.0 N

According to Newton's Third Law, Player 2 also experiences a force of equal magnitude but in the opposite direction. So, the force exerted on the 65.0-kg hockey player (Player 2) is +280.0 N.

Using Newton's Second Law (F = m * a), we can find the acceleration of Player 2:

280.0 N = 65.0 kg * a

Solving for a, we get:

a = 280.0 N / 65.0 kg = 4.31 m/s²

Therefore, the less massive player experiences an acceleration of 4.31 m/s².

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