Question

The figure shows an estimated force time graph for a baseball stuck by a bat. From the curve, determine the impulse delivered to the ball

• A. $1.35\times {10}^3\text{Ns}$
• B. $2.7\times {10}^3\text{Ns}$
• C. $2.7\times {10}^4\text{Ns}$
• D. $1.35\times {10}^4\text{Ns}$

Answer 1

The correct option is D $1.35\times {10}^4\text{Ns}$

$\text{Impulse delivered}=\text{Area under the curve}$

$I_p={\int }_1^{2.5}Fdt$

$=\frac{1}{2}\times \text{base}\times \text{height}$

$=\frac{1}{2}\times (2.5-1)\times 18000=\frac{1}{2}\times \frac{3}{2}\times 18000$

$\therefore I_p=1.35\times {10}^4\text{Ns}$

Hence, $\left(\text{D}\right)$ is the correct answer.