Answer:
23 kg·m/s
Step-by-step explanation:
The change in momentum of an object is equal to the impulse applied to it. The impulse is defined as the product of the force applied to the object and the time for which it acts. Mathematically, it can be expressed as:
Impulse = Force × Time
The final momentum of the ball can be found using the formula:
Final Momentum = Initial Momentum + Change in Momentum
The initial momentum of the ball is:
Initial Momentum = Mass × Initial Velocity
Initial Momentum = 4 kg × 2 m/s
Initial Momentum = 8 kg·m/s
The force applied to the ball for 3 seconds is:
Force = 5 N
Time = 3 s
Therefore, the impulse applied to the ball is:
Impulse = Force × Time
Impulse = 5 N × 3 s
Impulse = 15 N·s
The change in momentum of the ball is equal to the impulse applied to it:
Change in Momentum = Impulse
Change in Momentum = 15 N·s
Therefore, the final momentum of the ball is:
Final Momentum = Initial Momentum + Change in Momentum
Final Momentum = 8 kg·m/s + 15 N·s
Final Momentum = 23 kg·m/s
Hence, the final momentum of the ball after 3 seconds is 23 kg·m/s.