Match each flight deck towing and movement scenario to its resulting acceleration using Ne… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each flight deck towing and movement scenario to its resulting acceleration using Newton's Second Law ( $F = ma$ ). Assume no friction unless stated.

A $14,000 \text{ kg}$ aircraft towed with a net forward force of $11,200 \text{ N}$ $0.8 \text{ m/s}^2$
A $3,200 \text{ kg}$ munitions cart pulled with a net force of $12,800 \text{ N}$ $4.0 \text{ m/s}^2$
A $16,000 \text{ kg}$ helicopter pushed with $6,000 \text{ N}$ of force against $2,000 \text{ N}$ of resistance $0.25 \text{ m/s}^2$
A $4,000 \text{ kg}$ fuel pod accelerated by a continuous net force of $4,800 \text{ N}$ $1.2 \text{ m/s}^2$

Answer

The correct matches pair the aircraft with

0.8 \text{ m/s}^2

, the munitions cart with

4.0 \text{ m/s}^2

, the helicopter with

0.25 \text{ m/s}^2

, and the fuel pod with

1.2 \text{ m/s}^2

Each acceleration is determined by dividing the net force acting on the object by its mass. In scenarios where multiple forces act on the object, the net force must be found first by subtracting any resistance from the applied force.

Step-by-Step Solution

Calculate the acceleration for the aircraft.

Dividing the net force of

11,200 \text{ N}

by the mass of

14,000 \text{ kg}

yields

0.8 \text{ m/s}^2

Applying Newton's Second Law directly.

Calculate the acceleration for the munitions cart.

Dividing the net force of

12,800 \text{ N}

by the mass of

3,200 \text{ kg}

yields

4.0 \text{ m/s}^2

Applying Newton's Second Law directly.

Determine the net force and calculate the acceleration for the helicopter.

Subtract the

2,000 \text{ N}

resistance from the

6,000 \text{ N}

applied force to find a net force of

4,000 \text{ N}

. Dividing this by the

16,000 \text{ kg}

mass gives

0.25 \text{ m/s}^2

Newton's Second Law requires the net force, which is the sum of all opposing forces.

Calculate the acceleration for the fuel pod.

Dividing the net force of

4,800 \text{ N}

by the mass of

4,000 \text{ kg}

yields

1.2 \text{ m/s}^2

Applying Newton's Second Law directly.

Key Concept

Newton's Second Law (

F = ma

)

Estimated Time:1m 30s

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