To calculate the force (F) acting on an object, you can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass (in kilograms), and
- \( a \) is the acceleration (in meters per second squared).
Given:
- \( M = 2 \, \text{kg} \)
- \( V = 10 + 2t \)
To find the acceleration (a), we first need to differentiate the velocity (V) with respect to time (t):
\[ a = \frac{dV}{dt} \]
Given \( V = 10 + 2t \):
\[ a = \frac{d(10 + 2t)}{dt} = 0 + 2 = 2 \, \text{m/s}^2 \]
Now, we can calculate the force:
\[ F = M \cdot a = 2 \, \text{kg} \cdot 2 \, \text{m/s}^2 = 4 \, \text{N} \]
So, the force \( F \) is 4 Newtons.
