Question

A pilot is pulling out of a dive at a speed $200$ m/sec. If his path is a vertical circle of radius $1000$ meters, then calculate the total force which his body experiences due to the air at the lowest point, if his mass $60$ kg.

Answer 1

R.E.F image

Solution when the pilot is diving

in a vertical circle

$a_c\to$ centripetal acceleration

$N\to$ force by the air on him

At Point -0

Applying Newton's second law

of motion

$F_{net}=ma$

$\Rightarrow N-mg=mac=\frac{m{v}^2}{r}$

$\Rightarrow N=\frac{m{v}^2}{r}+mg=60[\frac{(200{)}^2}{1000}+10]$

$N=3000N$