Question

multiple choice question
a force - time graph shows a constant force of 115 n acting on an object over a period of 1.40 s. using the concept of impulse being equal to the area under the curve of a force - time graph, what is the impulse?

• 82.1 n·s
• 161 n·s
• 0.0022 n·s
• 116.4 n·s

Explanation:

Step1: Recall Impulse Formula

Impulse \( J \) is equal to the area under the force - time graph. For a constant force \( F \) acting over a time interval \( \Delta t \), the force - time graph is a rectangle, and the area of a rectangle is \( A=\text{length}\times\text{width} \). In the context of impulse, \( J = F\times\Delta t \), where \( F = 115\space N \) and \( \Delta t=1.40\space s \).

Step2: Calculate Impulse

Substitute the values of \( F \) and \( \Delta t \) into the formula:
\( J=F\times\Delta t = 115\space N\times1.40\space s \)
\( 115\times1.40=(100 + 15)\times1.40=100\times1.40+15\times1.40 = 140+21=161\space N\cdot s \)

Answer:

161 Ns (the option corresponding to 161 Ns, e.g., if the option is labeled as the second one, then "B. 161 Ns" assuming the options are ordered as given)