An object has a mass of 13.5 kilograms. What force is required to accelerate it to a rate of [tex]$9.5 m / s ^2$[/tex]?
A. 173.75 N
B. 128.25 N
C. 132.30 N
D. 81.00 N

The force required to accelerate an object with a mass of 13.5 kilograms to a rate of 9.5 m/s² is 128.25 N. This is calculated using Newton's Second Law of Motion. The correct multiple choice option is B. 128.25 N.
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Answered by Anonymous | 2025-07-04

To solve this problem, we need to use Newton's second law of motion, which states that force is equal to mass times acceleration. This is represented by the formula:
F = m × a
Where:

F is the force in newtons (N)
m is the mass in kilograms (kg)
a is the acceleration in meters per second squared ( m / s 2 )

Given in the problem:

Mass m = 13.5 kg
Acceleration a = 9.5 m / s 2

We can substitute these values into the formula to find the force:
F = 13.5 × 9.5
Calculating this gives:
F = 128.25
Thus, the force required to accelerate the object is 128.25 N.
Therefore, the correct choice from the options given is B. 128.25 N .

Answered by RyanHarmon181 | 2025-07-07