Question

question 19 of 25
which is the correct equation for the impulse applied by a force?
a. ( i=\frac{p}{m} )
b. ( i=-k x )
c. ( i=f delta t )
d. ( i=\frac{1}{2} k x^{2} )

Explanation:

• Impulse \(I\) is defined as the product of the force \(F\) and the time interval \(\Delta t\) over which the force acts.
• Option A: \(I = \frac{p}{m}\) is incorrect. \(p = mv\) (momentum), and this formula does not represent impulse.
• Option B: \(I=-kx\) is Hooke's law for a spring force (\(F = -kx\)), not impulse.
• Option C: \(I = F\Delta t\) is the correct formula for impulse.
• Option D: \(I=\frac{1}{2}kx^{2}\) is the formula for the elastic potential energy of a spring (\(U=\frac{1}{2}kx^{2}\)), not impulse.

Answer:

C. \(I = F\Delta t\)