Question

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

Answer 1

Answer:

m = 27752.7 [kg]

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.

$240[\frac{km}{h} ]*(\frac{1h}{3600s} )*(\frac{1000m}{1km} )=66.67[m/s]$

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

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