To determine the velocity of an object after a given time when a force is applied, we can use Newton's second law of motion. The equation is:
F = m * a
Where: F is the applied force (120 N) m is the mass of the object (20 kg) a is the acceleration of the object
First, let's find the acceleration:
a = F / m = 120 N / 20 kg = 6 m/s²
Now, we can use the kinematic equation to find the velocity of the object after 5 seconds:
v = u + a * t
Where: v is the final velocity u is the initial velocity (assumed to be zero as the object is stationary) a is the acceleration (6 m/s²) t is the time (5 s)
Plugging in the values:
v = 0 + 6 m/s² * 5 s = 30 m/s
Therefore, the velocity of the object after 5 seconds would be 30 m/s.