To determine the correct formulas for impulse, remember that impulse (J) is related to the force (F) applied and the time duration (t) over which the force is applied. The formula that correctly represents this relationship is:
[tex]\[ J = Ft \][/tex]
This means that impulse is the product of the force and the time interval during which the force acts.
Let's examine the given formulas to see which ones are correct:
1. J = Fat
- This formula is incorrect because it introduces an extra variable 'a' without context.
2. OJ = F
- This doesn't make sense because 'OJ' is not a standard term in physics, and impulse is not equal to the force. Force must be applied over a certain duration to calculate impulse.
3. J =
- This is incomplete and provides no formula.
4. ΔΕ
- Impulse relates to force and time, not energy (ΔE).
5. J = FAV
- This introduces variables 'A' and 'V' without context and does not match the correct formula for impulse.
6. J = m
- This is incorrect as 'm' stands for mass and does not describe impulse.
7. J = MAV
- This is incorrect as it introduces variables 'M', 'A', and 'V' without context.
8. J = Ap
- This is incorrect as it introduces a variable 'A' without context.
Out of all the provided options, the correct formula for impulse is:
[tex]\[ J = Ft \][/tex]
This is the only correct representation of one of the possible formulas for impulse considering force and time duration.
