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

Answer :

To find the acceleration of the canoe, we can use Newton's second law of motion, which is expressed as:

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

Where:
- [tex]\( F \)[/tex] is the force applied (in newtons, N),
- [tex]\( m \)[/tex] is the mass (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).

We have:
- Force ([tex]\( F \)[/tex]) = 156 N
- Mass ([tex]\( m \)[/tex]) = 220 kg

We need to find the acceleration ([tex]\( a \)[/tex]). We can rearrange the formula to solve for acceleration:

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

Substitute the given values into the formula:

[tex]\[ a = \frac{156 \, \text{N}}{220 \, \text{kg}} \][/tex]

By performing the division:

[tex]\[ a \approx 0.709 \, \text{m/s}^2 \][/tex]

Therefore, the acceleration of the canoe is approximately [tex]\( 0.7 \, \text{m/s}^2 \)[/tex].

So, the correct answer is:

B. [tex]\( 0.7 \, \text{m/s}^2 \)[/tex]