Problemas
An Airbus A380 airliner lands at 30m/s Partially loaded, its mass is 480000 kg. The engines app ly reve thrust for 12 s to slow the plane to 25m/s How much thrust did the engines apply?
Roztwór
Geraldine
professionell · Tutor durante 6 años
4.7
(259 Votos)
Respuesta
To find the thrust applied by the engines, we can use the impulse-momentum theorem. The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. Mathematically, this can be expressed as:
where:-
is the force (thrust) applied,-
is the time duration over which the force is applied,-
is the mass of the object,-
is the change in velocity.Given:- Initial velocity,
,- Final velocity,
,- Mass,
,- Time duration,
.First, calculate the change in velocity (
):
Now, substitute the values into the impulse-momentum equation to solve for
:
The negative sign indicates that the thrust is applied in the opposite direction of the motion, which is expected since it is a decelerating force. Therefore, the magnitude of the thrust applied by the engines is
.