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What force is required to accelerate a body with a mass of [tex]$15 \, \text{kg}$[/tex] at a rate of [tex]$8 \, \text{m/s}^2$[/tex]?

A. 120 N
B. 1.875 kg
C. 23 kg
D. 23 N

Sagot :

GinnyAnswer
To determine the force required to accelerate a body with a given mass at a specified rate, we can use Newton's second law of motion. This law states that the force [tex]\( F \)[/tex] applied to an object is equal to the mass [tex]\( m \)[/tex] of the object multiplied by the acceleration [tex]\( a \)[/tex] of the object. Mathematically, it can be expressed as:

[tex]\[ F = m \times a \][/tex]

Given:
- The mass of the body, [tex]\( m \)[/tex], is 15 kilograms.
- The acceleration, [tex]\( a \)[/tex], is [tex]\( 8 \, \text{m/s}^2 \)[/tex].

Now, substituting the given values into the formula:

[tex]\[ F = 15 \, \text{kg} \times 8 \, \text{m/s}^2 \][/tex]

[tex]\[ F = 120 \, \text{N} \][/tex]

Therefore, the force required to accelerate the body is 120 Newtons.

So, the best answer for the question is:
A. 120 N
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