Answer:
Assuming that air resistance is negligible.
a. Approximately
.
b. Approximately
.
Explanation:
Let
denote the mass of this diver.
If the initial speed of the diver is
, the initial kinetic energy (
) of this diver would be
.
If the height of this diver is
, the gravitational potential energy (
) of this diver would be
.
The initial mechanical energy of this diver (sum of
and
) would thus be:
.
If air resistance on the diver is negligible, the mechanical energy of this diver would stay the same until right before the diver impacts the water. The entirety of the initial mechanical energy,
, would be converted to kinetic energy by the time of impact.
Rearrange the equation
to find an expression for the speed of the diver:
.
Thus, if the kinetic energy of the diver is
, the speed of the diver would be:
.
Notice how
, the mass of the diver was eliminated from the expression.
If the diver started with no initial speed (
) at a height of
, the speed of the diver right before impact with water would:
.
If the diver started with an initial velocity of
upwards (initial speed
) from a height of
, the speed of the diver right before impact with water would be:
.
Speed = 50.4 m/s
Time = 0.25 s
Distance = (speed) x (time) = (50.4 m/s) x (0.25 s) = 12.6 meters.
So first make a force diagram. I would label forward forces + and backward forces -. Essentially, the drag force is equal to the Ft (force of tension) + Ff (force of friction on snowmobile - driver system). The force of Friction is equal to mu * Fn. We can find mu through the force of friction acting on the sled. 120 N = mu * Fn (equal to m * g of sled). mu of the Ice is equal to 0.167. So, 540 N = Ft + 0.167 * 4500 N. Ft = -211.5 N. <u>Ft is acting in the backwards direction at a magnitude of 211.5 N</u>
You would have to use a machine to convert the colors to one visible by humans or become some other species of animal with a larger light spectrum.