A constant force of 12 N acts for 5.0 s on a 5.0 kg object. What is the magnitude of the impulse delivered to the system?

1. Break Down the Problem

To find the impulse delivered to the system, we need to understand that impulse can be calculated using the formula:

$\text{Impulse} = \text{Force} \times \text{Time}$

Here, we are given:

• Force ($F$) = 12 N
• Time ($t$) = 5.0 s

2. Relevant Concepts

Impulse is the product of the constant force applied to an object and the duration of time the force is applied. It can also be related to the change in momentum of the object.

3. Analysis and Detail

We can substitute the known values into the impulse formula:

$\text{Impulse} = F \times t = 12 \, \text{N} \times 5.0 \, \text{s}$

Now, we perform the multiplication:

$\text{Impulse} = 12 \times 5 = 60 \, \text{N} \cdot \text{s}$

4. Verify and Summarize

The calculation is straightforward, and we verify that the multiplication of force and time is correct.

Final Answer

The magnitude of the impulse delivered to the system is $60 \, \text{N} \cdot \text{s}$.