Four different objects are moving horizontally across a testing facility floor. Arrange th… — Armed Services Vocational Aptitude Battery (ASVAB)

Four different objects are moving horizontally across a testing facility floor. Arrange these objects in order of their kinetic energy, from least kinetic energy to greatest kinetic energy.

1A $4\text{ kg}$ bowling ball rolling at $2\text{ m/s}$
2A $1\text{ kg}$ surveillance drone flying at $6\text{ m/s}$
3A $2\text{ kg}$ robotic vehicle traveling at $5\text{ m/s}$
4An $8\text{ kg}$ utility cart pushed at $3\text{ m/s}$

Answer

The correct sequence from least to greatest kinetic energy is: the

4\text{ kg}

bowling ball at

2\text{ m/s}

(

8\text{ J}

), the

1\text{ kg}

drone at

6\text{ m/s}

(

18\text{ J}

), the

2\text{ kg}

robotic vehicle at

5\text{ m/s}

(

25\text{ J}

), and the

8\text{ kg}

utility cart at

3\text{ m/s}

(

36\text{ J}

Kinetic energy is calculated using the formula

KE = \frac{1}{2}mv^2

. Computing each value yields

8\text{ J}

for the bowling ball,

18\text{ J}

for the drone,

25\text{ J}

for the robotic vehicle, and

36\text{ J}

for the utility cart. Arranging these values in ascending order produces the correct sequence.

Step-by-Step Solution

Recall the formula for kinetic energy

KE = \frac{1}{2}mv^2

, where

m

is mass in kilograms and

v

is velocity in meters per second.

Kinetic energy depends directly on mass and the square of velocity.

Calculate the kinetic energy of each moving object

Bowling ball:

\frac{1}{2}(4)(2^2) = 8\text{ J}

; Drone:

\frac{1}{2}(1)(6^2) = 18\text{ J}

; Robotic vehicle:

\frac{1}{2}(2)(5^2) = 25\text{ J}

; Utility cart:

\frac{1}{2}(8)(3^2) = 36\text{ J}

Determine the exact numerical energy value for each scenario.

Order the computed values from smallest to largest

8\text{ J} < 18\text{ J} < 25\text{ J} < 36\text{ J}

Satisfies the stem requirement to arrange from lowest to highest kinetic energy.

Key Concept

Kinetic Energy Calculation (

KE = \frac{1}{2}mv^2

)

Estimated Time:1m 0s

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Answer

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