find mass when given force and acceleration, how do I do this?

Question

An airplane accelerates from rest to takeoff speed of 95 m/s in 30. sec. Each of the plane's two jet engines provides a forward force of 130 kN. What is the mass of the plane?

Answer 1

ok...

F = m*a

F = 2* 130 kN (2* thrust of the engines)

a = v/t (assuming constant acceleration)

so a = 95/30

m = F/a = 260000 N/(95/30) m/s^2

Answer 2

Force=Mass x Acceleration/G

therefore Mass = (Force/Acceleration)xG

Where G is the universal gravitational constant.

In SI units G is equal to 1kg-meter/second squared

For this problem

F equal 130 kN x 2 which equals 260 kN

A equal 95m/30sec squared

substituting Mass=(260,000N x 1kg-meter/second squared-N )/*95m/second/30sec)/1kg-m/sec squared.

Cancelling the units you are left with 82,105 Kg, is the mass of the airplane.

A Kg of mass is approximately 2.2 lbs mass.

So the plane weighs 82105 x 2.2 pound mass which is

181631 pounds mass.


The key thing to remember is that you must use the universal gravitational constant to arrive at the mass of the plane. Remember mass is not the same as weight. Weight is a measure unique to whatever the gravity of is on your planet. If you take the same same plane it will weigh a lot more on Saturn than it does on earth, even though the mass is the sam

Answer 3

I honestly were given a similar answer as you. imagine of on the problem of the definition of the Newton. it is the strain required to make stronger up 1kg at a fee of one million m/s^2. you've a resultant rigidity of 30N. If the article had a mass of 1kg, it might want to make stronger up at 30m/s^2. yet by using way of certainty the mass is eighteen.4 kg, it is going to advance up at a fee 18.4 situations slower or 30/18.4 m/s^2 = a million.63m/s^2, So, you're sturdy.

Answer 4

Force, influence that causes mass to accelerate, such as gravity, friction, or a push. Force is defined by Newton's Second Law as F = m * a.
So M = F/a
Make your numbers :)

Answer 5

ooo, i did this more than 20 years ago so may be a bit rusty.
a = v/t (v = 95m/s t=30s) = 3.166
f= 260KN ( 130 each engine) = 260000N
F=M*A
m= F/A = 260000/3.166 = 82122.5

hope this helps.

Answer 6

mass x acceleration