Question

On an aircraft carrier, a jet can be catapulted from 0 to 240 km/h in 2.10 s. If the average force exerted by the catapult is 9.35×105 N , what is the mass of the jet?

Answer 1

Answer

The answer is 29495.3 kg

Explanation

As we know, the Newton's Second Law of Motion

$Force = Mass * Acceleration$

$F = ma$

The F exerted by catapult = 9.35 * $10^5$

The Time is = 2.10 s

Velocity of the catapult = 240 km/h = 66.6 m/s   (240*1000 m /3600 s)

The mass of jet = ?

First detrmine the acceleration as

{/tex}Acceleration = Velocity/Time {/tex}

$Acceleration = 66.6 ms^{-1}/2.1 s$

$Acceleration (a) =  31.7 ms^{-2}$

Rearrange the formaula as

$m= F/a$

$m= 9.35 * 10^5 N /31.7 ms^{-2}$

$m = 29495.3 kg$

The mass will be 29495.3 kg