Here's how you can solve this problem:
1. Understand the Concepts:
* Force (F): The push or pull on an object (100 N in this case).
* Mass (m): The amount of matter in an object (20 kg).
* Acceleration (a): The rate of change of velocity.
* Velocity (v): The speed and direction of an object.
* Time (t): The duration for which the force acts.
2. Relevant Equation:
We'll use Newton's second law of motion:
* F = m * a
And the equation for acceleration:
* a = (v - u) / t
Where:
* u = initial velocity (assuming the body starts from rest, u = 0 m/s)
* v = final velocity (this is the missing information from the question)
3. Solving the Problem:
a) Calculate the acceleration (a):
* F = m * a
* a = F / m = 100 N / 20 kg = 5 m/s²
b) Plug in the values and solve for time (t):
* a = (v - u) / t
* 5 m/s² = (v - 0 m/s) / t
* t = v / 5 m/s²
Conclusion:
To find the time, you need to know the final velocity (v) the body should acquire. Once you have the final velocity, plug it into the equation t = v / 5 m/s² to calculate the time.
