To determine the final velocity of an object, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given: Mass (m) = 200 kg Initial velocity (v₀) = 3 m/s east Net force (F) = 10 N Time (t) = 3 seconds
First, we need to calculate the acceleration using Newton's second law:
F = m * a
Rearranging the equation, we find:
a = F / m
Substituting the given values:
a = 10 N / 200 kg a = 0.05 m/s²
Next, we can calculate the change in velocity (Δv) using the following equation:
Δv = a * t
Substituting the values:
Δv = 0.05 m/s² * 3 s Δv = 0.15 m/s
Finally, we can find the final velocity (v) by adding the change in velocity (Δv) to the initial velocity (v₀):
v = v₀ + Δv
Substituting the values:
v = 3 m/s + 0.15 m/s v = 3.15 m/s
Therefore, the final velocity of the object after 3 seconds, when acted upon by a net force of 10 N, is 3.15 m/s east.