Average force on a bouncing ball

Classical Mechanics Level pending

A 1 \(\text{kg}\) basketball is dropped from a height of 5 \(\text{m}\), bounces off the ground, and returns to a maximum height of 1.8 \(\text{m}\). Find the magnitude of the average force (in \(\text{N}\)) between the ball and the ground if the ball is in contact with the ground for 0.1 s. (Use \(g=10 \text{m}/\text{s}^2\) for the acceleration due to gravity.)

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