Answer :
Final answer:
This is a high school physics question about momentum conservation in a collision between a golf club and ball. The velocity of the golf ball just after the collision is calculated using the conservation of momentum principle, resulting in approximately 39.4 m/s.
Explanation:
This problem falls under the domain of conservation of momentum in physics. Before the collision, the momentum of the system is contributed by the golf club alone since the golf ball is at rest. The initial momentum is therefore the product of the mass and velocity of the golf club, i.e., 0.182 kg * 59.1 m/s. After the collision, both the golf ball and the club contribute to the total momentum of the system. The combined momentum can be represented as (0.0453 kg * v) + (0.182 kg * 44.3 m/s).
Conservation of momentum means that the total momentum stays the same before and after the event, so we can write the initial momentum equal to the final momentum, and solve for v, the velocity of the golf ball just after impact:
(0.182 kg * 59.1 m/s) = (0.0453 kg * v) + (0.182 kg * 44.3 m/s).
Solving for v we get:
v ≈ 39.4 m/s
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