An electromagnetic catapult on a flight deck is used to launch a 2,500 \text{ kg} unmanned… — Armed Services Vocational Aptitude Battery (ASVAB)

An electromagnetic catapult on a flight deck is used to launch a $2,500 \text{ kg}$ unmanned surveillance drone. The catapult applies a continuous forward thrust of $25,000 \text{ N}$ to the drone. During the launch run, the launch track components exert a constant resistive friction force of $5,000 \text{ N}$ against the drone's motion. What is the forward acceleration of the drone?

$8 \text{ m/s}^2$ Cevap
B
$10 \text{ m/s}^2$
C
$0.8 \text{ m/s}^2$
D
$0.125 \text{ m/s}^2$

Cevap

The drone experiences a forward acceleration of

8 \text{ m/s}^2

To find the acceleration, the net force must first be calculated by subtracting the opposing friction force (

5,000 \text{ N}

) from the forward thrust (

25,000 \text{ N}

), yielding

20,000 \text{ N}

. Using Newton's Second Law (

F = ma

), dividing this net force by the drone's mass (

2,500 \text{ kg}

) results in an acceleration of

8 \text{ m/s}^2

Adım Adım Çözüm

Calculate the net force acting on the drone.

F_{net} = 25,000 \text{ N} - 5,000 \text{ N} = 20,000 \text{ N}

According to Newton's Second Law, the acceleration is determined by the net force, which is the applied thrust minus the opposing friction.

Apply Newton's Second Law (

F = ma

) to calculate acceleration.

a = \frac{20,000 \text{ N}}{2,500 \text{ kg}} = 8 \text{ m/s}^2

Rearranging the formula to

a = \frac{F}{m}

isolates the acceleration for the calculation.

Anahtar Kavram

Newton's Second Law and Net Force

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