You paddle a canoe with a force of 156 N. You and the canoe have a combined mass of 220 kg. What is the acceleration of the canoe?
A. [tex]$1.1 m / s ^2$[/tex]
B. [tex]$0.7 m / s ^2$[/tex]
C. [tex]$2.3 m / s ^2$[/tex]
D. [tex]$1.4 m / s ^2$[/tex]

Apply Newton's second law of motion: F = ma .
Solve for acceleration: a = m F ​ .
Substitute the given values: a = 220 156 ​ .
Calculate the acceleration: a ≈ 0.7 m/s 2 . The final answer is 0.7 m/s 2 ​ .

Explanation

Understanding the Problem We are given the force applied to a canoe and the combined mass of the canoe and the person paddling it. We need to find the acceleration of the canoe.

Applying Newton's Second Law We can use Newton's second law of motion, which states that Force = mass × acceleration, or F = ma . In this case, we have:


Force, F = 156 N Mass, m = 220 kg Acceleration, a = ?
We need to solve for a .

Solving for Acceleration To find the acceleration, we can rearrange the formula F = ma to solve for a :

a = m F ​

Calculating the Acceleration Now, we substitute the given values into the formula:

a = 220 kg 156 N ​
a = 0.7090909... m/s 2
Rounding to one decimal place, we get:
a ≈ 0.7 m/s 2

Final Answer Therefore, the acceleration of the canoe is approximately 0.7 m/s 2 .

Examples
Understanding the acceleration of a canoe can be applied to designing boats or predicting the motion of objects under force. For example, engineers might use this principle to calculate how quickly a sailboat accelerates under different wind conditions, ensuring the design meets performance expectations. Similarly, in sports, knowing the force an athlete applies and their combined mass helps predict their acceleration, aiding in training and performance analysis. This concept is fundamental in physics and engineering, providing a basis for understanding motion and forces in various real-world scenarios.

Answered by GinnyAnswer | 2025-07-07

The acceleration of the canoe is calculated using Newton's second law of motion as approximately 0.7 m/s². This was determined by dividing the force of 156 N by the mass of 220 kg. The correct answer is option B: 0.7 m/s².
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Answered by Anonymous | 2025-07-30