Question

description: show all you work, including units, on separate paper. follow the \problem solving method\. this final exam is cumulative and covers material from the entire course. instructions: from the list of choices, select the one best answer. multiple attempts: not allowed. this test can only be taken once. force completion: this test can be saved and resumed later. your answers are saved automatically. question completion status: question numbers from 1 to 62, with question 22 being active moving to another question will save this response. question 22 of 62: a person in a kayak starts paddling, and it accelerates from 0 to 0.80 m/s in a distance of 0.75 m. if the combined mass of the person and the kayak is 82 kg, what is the magnitude of the net force acting on the kayak? options: 53 n, 35 n, 28 n, 43 n

Explanation:

Step1: Find acceleration using kinematic equation

We use the kinematic equation \( v^2 = u^2 + 2as \), where \( u = 0 \, \text{m/s} \), \( v = 0.80 \, \text{m/s} \), \( s = 0.75 \, \text{m} \). Rearranging for \( a \): \( a=\frac{v^2 - u^2}{2s} \). Substituting values: \( a=\frac{(0.80)^2 - 0^2}{2\times0.75}=\frac{0.64}{1.5}\approx0.4267 \, \text{m/s}^2 \).

Step2: Calculate net force using Newton's second law

Newton's second law is \( F = ma \), where \( m = 82 \, \text{kg} \), \( a\approx0.4267 \, \text{m/s}^2 \). So \( F = 82\times0.4267\approx35 \, \text{N} \).

Answer:

B. 35 N