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A 44.2 kg diver steps off a diving board and drops straight down into the water. The water provides an average net force of resistance of 1535 N to the diver’s fall. If the diver comes to rest 5.7 m below the water’s surface, what is the total distance between the diving board and the diver’s stopping point underwater? The acceleration due to gravity is 9.81 m/s 2 . Answer in units of m.

Respuesta :

Answer:

The total distance between the diving board and the diver’s stopping point underwater is 20.18 m.

Explanation:

Given that,

Average net force = 1535 N

Distance = 5.7 m

Mass of diver = 44.2 kg

We need to calculate the total distance between the diving board and the diver’s stopping point underwater

Using relation of energy and work done

The energy the diver had when hitting the water has to equal the upward force and distance in the water.

[tex]mgh=F\times d[/tex]

[tex]h=\dfrac{F\times d}{mg}[/tex]

[tex]h=\dfrac{1535\times5.7}{44.2\times9.81}[/tex]

[tex]h=20.18\ m[/tex]

Hence, The total distance between the diving board and the diver’s stopping point underwater is 20.18 m.

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