Question

On an aircraft carrier, a jet can be catapulted from 0 to 240

km/h in 2.00 s . If the average force exerted by the capult is 9.25x10^5 n what is the mass of the jet

Answer 1

m = 27752.7 [kg]

Step-by-step explanation:

To solve this problem we must first use the following equation of kinematics.

`v_(f)=v_(o)+a*t`

where:

Vf = final velocity = 240 [km/h]

Vo = initial velocity = 0

a = acceleration [m/s²]

t = time = 2 [s]

But first we must convert the speed from kilometers per hour to meters per second.

`240[(km)/(h) ]*((1h)/(3600s) )*((1000m)/(1km) )=66.67[m/s]`

Now replacing:

`66.67 = 0 +a*2\\a = 33.33 [m/s^(2) ]`

Now using Newton's second law which is defined as the product of mass by acceleration we can determine the mass of the jet.

∑F = m*a

`925000=m*33.33\\m = 925000/33.33\\m = 27752.7 [kg]`