Understanding the Concepts

* Force (F): A push or pull that can cause a change in motion.

* Mass (m): The amount of matter in an object.

* Acceleration (a): The rate of change of velocity.

* Newton's Second Law of Motion: Force equals mass times acceleration (F = ma).

* Velocity (v): The speed and direction of an object.

Steps to Solve the Problem

1. Calculate acceleration:

* We know F = 100 N and m = 20 kg.

* Using F = ma, we can find acceleration:

* a = F/m = 100 N / 20 kg = 5 m/s²

2. Calculate time:

* We know the initial velocity (assumed to be 0 m/s), final velocity (v = 200 m/s), and acceleration (a = 5 m/s²).

* We can use the following equation:

* v = u + at (where 'u' is the initial velocity)

* Rearranging to solve for time (t):

* t = (v - u) / a

* t = (200 m/s - 0 m/s) / 5 m/s²

* t = 40 seconds

Answer: The force of 100 N needs to act on the 20 kg body for 40 seconds to acquire a velocity of 200 m/s.