Answer :
To solve the problem, we need to find the equation that represents the force [tex]\( F \)[/tex], in newtons, acting on an object with a mass of 57 kg and an acceleration of [tex]\( a \)[/tex] meters per second squared [tex]\((m/s^2)\)[/tex].
The basic formula for force is given by Newton's Second Law of Motion, which states:
[tex]\[ F = m \times a \][/tex]
where:
- [tex]\( F \)[/tex] is the force in newtons,
- [tex]\( m \)[/tex] is the mass in kilograms,
- [tex]\( a \)[/tex] is the acceleration in meters per second squared [tex]\((m/s^2)\)[/tex].
Given that the mass [tex]\( m \)[/tex] of the object is 57 kg, we can substitute this value into the formula:
[tex]\[ F = 57 \times a \][/tex]
This equation shows that the force [tex]\( F \)[/tex] depends on the product of 57 and the acceleration [tex]\( a \)[/tex].
Now, let's look at the answer choices:
A) [tex]\( F = 57a \)[/tex]
B) [tex]\( F = 57 + a \)[/tex]
C) [tex]\( F = 57 - a \)[/tex]
D) [tex]\( a - 57 \)[/tex]
Based on our formula [tex]\( F = 57 \times a \)[/tex], the correct choice is:
A) [tex]\( F = 57a \)[/tex]
This equation correctly represents the force acting on the object given the mass and acceleration.
The basic formula for force is given by Newton's Second Law of Motion, which states:
[tex]\[ F = m \times a \][/tex]
where:
- [tex]\( F \)[/tex] is the force in newtons,
- [tex]\( m \)[/tex] is the mass in kilograms,
- [tex]\( a \)[/tex] is the acceleration in meters per second squared [tex]\((m/s^2)\)[/tex].
Given that the mass [tex]\( m \)[/tex] of the object is 57 kg, we can substitute this value into the formula:
[tex]\[ F = 57 \times a \][/tex]
This equation shows that the force [tex]\( F \)[/tex] depends on the product of 57 and the acceleration [tex]\( a \)[/tex].
Now, let's look at the answer choices:
A) [tex]\( F = 57a \)[/tex]
B) [tex]\( F = 57 + a \)[/tex]
C) [tex]\( F = 57 - a \)[/tex]
D) [tex]\( a - 57 \)[/tex]
Based on our formula [tex]\( F = 57 \times a \)[/tex], the correct choice is:
A) [tex]\( F = 57a \)[/tex]
This equation correctly represents the force acting on the object given the mass and acceleration.
