Question

A person of mass 68.1 kg escapes from a burning building by jumping from a window situated 27.4 m above a catching net. The acceleration of gravity is 9.8 m/s 2 . If air resistance exerts a force of 105.4 N on him as he falls, determine his speed just before he hits the net. Answer in units of m/s

Answer 1

Answer:21.27 m/s

Step-by-step explanation:

Given

Mass of person(m)=68.1 kg

height of window=27.4 m

Air resistance =105.4 N

air resistance deceleration
`=(105.4)/(68.1)=1.54 m/s^2`

let V be the Velocity of person before hitting

`v^2-u^2=2as`

`v^2-0=2(9.8-1.54)27.4`

`v=√(452.648)=21.27 m/s`