Question

I dont understand how to find the blanks​

Answer 1

The forces are:

$F_{grav} = 98,000 N$, down

$F_{net} = 80,000 N$, down

$F_{air}=18,000 N$, up

Explanation:

We start by finding the force of gravity on the elephant, $F_{grav}$, which is given by

$F_{grav}=mg$ (downward)

where

m = 10,000 kg is the mass of the elephant

$g=9.8 m/s^2$ is the acceleration of gravity

Substituting,

$F_{grav}=(10,000)(9.8)=98,000 N$

Now we know that the net acceleration of the elephant is

$a_{net}=8.0 m/s^2$ downward

We can now use Newton's second law:

$F_{net}=ma_{net}$

where $F_{net}$ is the net force on the elephant. Substituting, we find

$F_{net}=(10,000)(8.0)=80,000 N$

and it also acts downward, since it has the same direction as the acceleration.

Finally, we can write the net force on the elephant as

$F_{net}=F_{grav}-F_{air}$

where the force of gravity acts downward, while the air resistance ($F_{air}$ acts upward. The net force also acts downward, so it has the same sign of gravity.

Substituting:

$F_{net}=80,000 N\\F_{grav}=98,000 N$

And solving, we find the air resistance:

$F_{air}=F_{grav}-F_{net}=98,000-80,000 = 18,000 N$ (upward)

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