Final answer:
The time it took for the object to come to a stop was calculated to be 19.4 seconds by using the impulse-momentum theorem and dividing the given impulse by the resistance force.
Step-by-step explanation:
To calculate the time it took for a moving object to stop moving after encountering a resistance of 13 N and an impulse of 252.2 N*s, we can use the impulse-momentum theorem. This theorem states that impulse equals the change in momentum and is calculated as the product of the average force exerted on an object and the time period over which this force acts.
Using the formula:
- Impulse (J) = Force (F) * Time (t)
We can rearrange the formula to solve for time:
- Time (t) = Impulse (J) / Force (F)
Substituting the given values:
- Time (t) = 252.2 N*s / 13 N
Time (t) = 19.4 seconds
Therefore, it took 19.4 seconds for the object to come to a stop.