Final answer:
To stop the object, a -100N force needs to be applied for 5 seconds.
So, the correct answer is option D.
Step-by-step explanation:
To calculate the time it takes to stop an object, we can use the formula:
Force = mass * acceleration
First, we need to find the acceleration of the object. Using the formula:
Acceleration = change in velocity / time
We know that the force applied is -100N, the mass is 200kg, and the initial velocity is 50m/s. Rearranging the formula, we can solve for time:
Time = change in velocity / (Force / mass)
Substituting the values, we get:
Time = 0 - 50 / (-100 / 200) = 5 seconds
Therefore, the correct answer is option d) 5 seconds.