A 50.0 kg diver steps off a diving board and drops straight down into the water. The net force when in the water is an upward 1450 N. If the diver comes to rest 5.0 m below the water's surface, what is the total distance between the diving board and the diver's stopping point underwater?

bobpursley that's incorrect

15m

force*distance=mg*height

solve for height.

thank you.

To find the total distance between the diving board and the diver's stopping point underwater, we need to consider two things: the distance traveled in the air and the distance traveled in the water.

First, let's calculate the distance traveled in the air. Since the diver is dropping straight down, we can use the following kinematic equation:

d = vi * t + (0.5) * a * t^2

Where:
d = distance traveled
vi = initial velocity (which is 0 since the diver steps off the board)
t = time
a = acceleration due to gravity (-9.8 m/s^2)

Since the diver is dropping straight down, the distance traveled in the air can be written as:

d_air = 0.5 * a_air * t_air^2

Since the initial velocity is 0, the equation simplifies to:

d_air = (0.5) * (-9.8 m/s^2) * t_air^2

Next, let's calculate the time it takes for the diver to reach the water's surface. We can use the following kinematic equation:

vf = vi + a * t

Where:
vf = final velocity (which is 0 when the diver reaches the water's surface)
vi = initial velocity (which is 0 since the diver steps off the board)
t = time
a = acceleration due to gravity (-9.8 m/s^2)

Since the final velocity is 0, the equation becomes:

0 = 0 + (-9.8 m/s^2) * t_air

Solving for t_air:

t_air = 0 / (-9.8 m/s^2)
t_air = 0 seconds

Since the time is 0, the distance traveled in the air is also 0.

Now, let's calculate the distance traveled in the water. We know that the net force when in water is an upward 1450 N, and the diver comes to rest 5.0 m below the water's surface. So we can use the following force-distance relationship:

W = F * d

Where:
W = work done
F = force (1450 N)
d = distance (5.0 m)

Since the diver comes to rest, the work done on the diver by the net force is equal to the work done by gravity. So we can equate the two:

F * d = m * g * d

Where:
m = mass of the diver (50.0 kg)
g = acceleration due to gravity (-9.8 m/s^2)

Rearranging the equation to solve for d:

d = (m * g * d) / F

Substituting the given values:

d = (50.0 kg * (-9.8 m/s^2) * 5.0 m) / 1450 N

Simplifying the calculation:

d = -0.170 m

Since distance cannot be negative, we take the absolute value:

d = 0.170 m

Therefore, the total distance between the diving board and the diver's stopping point underwater is given by:

total distance = distance traveled in the air + distance traveled in the water
total distance = 0 + 0.170 m
total distance = 0.170 m

Hence, the total distance between the diving board and the diver's stopping point underwater is 0.170 meters.