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Answer :
To find the mass of an object using the force and acceleration, we can apply Newton's second law of motion. This law states:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied to the object (in newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
We are given:
- Force ([tex]\( F \)[/tex]) = 500 N
- Acceleration ([tex]\( a \)[/tex]) = 2.5 m/s²
Our goal is to find the mass ([tex]\( m \)[/tex]). To do this, we need to rearrange the equation to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute the given values into the equation:
[tex]\[ m = \frac{500 \, \text{N}}{2.5 \, \text{m/s²}} \][/tex]
[tex]\[ m = 200 \, \text{kg} \][/tex]
So, the mass of the object is 200 kg.
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied to the object (in newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
We are given:
- Force ([tex]\( F \)[/tex]) = 500 N
- Acceleration ([tex]\( a \)[/tex]) = 2.5 m/s²
Our goal is to find the mass ([tex]\( m \)[/tex]). To do this, we need to rearrange the equation to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute the given values into the equation:
[tex]\[ m = \frac{500 \, \text{N}}{2.5 \, \text{m/s²}} \][/tex]
[tex]\[ m = 200 \, \text{kg} \][/tex]
So, the mass of the object is 200 kg.
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