College

What is the mass of an object if it takes 500 N of force to cause an acceleration of 2.5 m/s²?

A. 1250 kg
B. 80 kg
C. 200 kg
D. 3125 kg

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.