An object accelerates 3.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object?

18 Kg

0.50 Kg

2.0 Kg

0 Kg

1 answer

To find the mass of the object, we can use Newton's second law of motion, which states:

\[ F = m \cdot a \]

where:

  • \( F \) is the force applied (in newtons),
  • \( m \) is the mass (in kilograms),
  • \( a \) is the acceleration (in m/s²).

We can rearrange this formula to solve for mass \( m \):

\[ m = \frac{F}{a} \]

Given that the force \( F = 6.0 , \text{N} \) and the acceleration \( a = 3.0 , \text{m/s}^2 \), we can substitute these values into the equation:

\[ m = \frac{6.0 , \text{N}}{3.0 , \text{m/s}^2} \]

Calculating this gives:

\[ m = 2.0 , \text{kg} \]

Therefore, the mass of the object is 2.0 Kg.