Answer :
To find the acceleration of the object, we can use Newton's second law of motion. This law tells us that the force acting on an object is equal to the mass of the object multiplied by its acceleration. It is often written as:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied to the object (in newtons).
- [tex]\( m \)[/tex] is the mass of the object (in kilograms).
- [tex]\( a \)[/tex] is the acceleration of the object (in meters per second squared).
In this problem, we know:
- The mass [tex]\( m \)[/tex] is 93 kg.
- The force [tex]\( F \)[/tex] is 624 newtons.
We need to find the acceleration [tex]\( a \)[/tex]. To do this, we can rearrange the formula to solve for [tex]\( a \)[/tex]:
[tex]\[ a = \frac{F}{m} \][/tex]
Now, we substitute the given values into this equation:
[tex]\[ a = \frac{624 \, \text{newtons}}{93 \, \text{kg}} \][/tex]
When you perform the division, the acceleration [tex]\( a \)[/tex] equals approximately 6.71 meters per second squared.
So, the acceleration of the 93 kg object, when pushed with a force of 624 newtons, is approximately 6.71 m/s².
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied to the object (in newtons).
- [tex]\( m \)[/tex] is the mass of the object (in kilograms).
- [tex]\( a \)[/tex] is the acceleration of the object (in meters per second squared).
In this problem, we know:
- The mass [tex]\( m \)[/tex] is 93 kg.
- The force [tex]\( F \)[/tex] is 624 newtons.
We need to find the acceleration [tex]\( a \)[/tex]. To do this, we can rearrange the formula to solve for [tex]\( a \)[/tex]:
[tex]\[ a = \frac{F}{m} \][/tex]
Now, we substitute the given values into this equation:
[tex]\[ a = \frac{624 \, \text{newtons}}{93 \, \text{kg}} \][/tex]
When you perform the division, the acceleration [tex]\( a \)[/tex] equals approximately 6.71 meters per second squared.
So, the acceleration of the 93 kg object, when pushed with a force of 624 newtons, is approximately 6.71 m/s².
