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Answer :
Final answer:
If the initial velocity of the block is quadrupled, it would slide 8 meters.
Explanation:
The distance traveled by an object depends on its initial velocity and the forces acting on it. In this case, the block of mass 4.3 kg is initially sliding with a velocity of 3.6 m/s and comes to rest at a distance of 2 m. To find the distance the block would have slid if its initial velocity were quadrupled, we can use the concept of energy conservation.
When the block comes to rest, all of its initial kinetic energy is converted into potential energy. By doubling the initial velocity, the block will have four times the initial kinetic energy. Therefore, the distance it will slide before coming to rest will quadruple as well.
So if the initial velocity were quadrupled, the block would slide 4 times the distance, which is 2 m * 4 = 8 m.
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