College

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]0.7 \, \text{m/s}^2[/tex]
B. [tex]1.1 \, \text{m/s}^2[/tex]
C. [tex]23 \, \text{m/s}^2[/tex]
D. [tex]1.4 \, \text{m/s}^2[/tex]

Answer :

To find the acceleration, we start with Newton's second law, which states

[tex]$$
F = m \times a.
$$[/tex]

Here, [tex]$F$[/tex] is the force, [tex]$m$[/tex] is the mass, and [tex]$a$[/tex] is the acceleration. We can rearrange this equation to solve for acceleration:

[tex]$$
a = \frac{F}{m}.
$$[/tex]

Given the force [tex]$F = 156 \, \text{N}$[/tex] and the mass [tex]$m = 220 \, \text{kg}$[/tex], we substitute these values into the formula:

[tex]$$
a = \frac{156 \, \text{N}}{220 \, \text{kg}} \approx 0.70909 \, \text{m/s}^2.
$$[/tex]

Rounded to one decimal place, the acceleration is approximately [tex]$0.7 \, \text{m/s}^2$[/tex].

Thus, the correct answer is option A: [tex]$0.7 \, \text{m/s}^2$[/tex].