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A student is working in a lab to determine how time affects the impulse. The student keeps the force the same in each trial but changes the impact time. Some data is shown.

| Trial | Force (N) | Time (s) |
|--------|-----------|----------|
| Trial 1| 500 N | 0.25 |
| Trial 2| 500 N | 0.15 |
| Trial 3| 500 N | 0.45 |
| Trial 4| 500 N | 0.33 |

Which trial has the greatest impulse?

A. Trial 1
B. Trial 2
C. Trial 3
D. Trial 4



Answer :

GinnyAnswer
To determine which trial has the greatest impulse, we need to use the formula for impulse, which is:

[tex]\[ \text{Impulse} = \text{Force} \times \text{Time} \][/tex]

Given:
- The force in each trial is [tex]\(500 \, \text{N}\)[/tex].
- The times for each trial are provided.

Let's calculate the impulse for each trial step-by-step:

#### Trial 1:
[tex]\[ \text{Impulse}_1 = 500 \, \text{N} \times 0.25 \, \text{s} = 125 \, \text{Ns} \][/tex]

#### Trial 2:
[tex]\[ \text{Impulse}_2 = 500 \, \text{N} \times 0.15 \, \text{s} = 75 \, \text{Ns} \][/tex]

#### Trial 3:
[tex]\[ \text{Impulse}_3 = 500 \, \text{N} \times 0.45 \, \text{s} = 225 \, \text{Ns} \][/tex]

#### Trial 4:
[tex]\[ \text{Impulse}_4 = 500 \, \text{N} \times 0.33 \, \text{s} = 165 \, \text{Ns} \][/tex]

Now, let's compare the impulses calculated in each trial:
- [tex]\(\text{Impulse}_1 = 125 \, \text{Ns}\)[/tex]
- [tex]\(\text{Impulse}_2 = 75 \, \text{Ns}\)[/tex]
- [tex]\(\text{Impulse}_3 = 225 \, \text{Ns}\)[/tex]
- [tex]\(\text{Impulse}_4 = 165 \, \text{Ns}\)[/tex]

From these calculations, we see that the greatest impulse is [tex]\(225 \, \text{Ns}\)[/tex] which occurs in Trial 3.

Therefore, the trial with the greatest impulse is:

[tex]\[ \boxed{\text{Trial 3}} \][/tex]

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