A 55.0 kg diver steps off a diving board and drops straight down into the water. The water provides an upward average net force 1000 N. If the diver comes to rest 4.9 m below the water's surface, what is the total distance between the diving board and the diver's stopping point underwater?

Respuesta :

Answer:

7.5 m

Explanation:

we are given the following:

mass of the diver (m) = 55 kg

net upward force (F) = 1000 N

depth of the diver (divers stopping point) (h) = 4.9 m

acceleration due to gravity (g) = 9.8 m/s^{2}

height of the diving board (d) = ?

we can get the total distance between the diving board and the divers stopping point will be the addition of the height of the diving board from the surface and the depth of the stopping point of the diver from the surface.

but we need to find the height of the diving board from the surface, and we can do so by using the conservation of energy equation

work done = potential energy

F x d = m x g x h

1000 x d = 55 x 9.8 x 4.9

d = 2.6 m

Now that we have gotten the height of the diving board from the surface we can get the total distance

total distance = 2.6 + 4.9 = 7.5 m