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You are riding a bicycle. If you apply a forward force of 172 N, and you and the bicycle have a combined mass of 51 kg, what will be the forward acceleration of the bicycle? (Assume there is no friction.)

A. [tex]1.85 \, \text{m/s}^2[/tex]
B. [tex]1.67 \, \text{m/s}^2[/tex]
C. [tex]0.30 \, \text{m/s}^2[/tex]
D. [tex]3.37 \, \text{m/s}^2[/tex]

Answer :

To determine the forward acceleration of the bicycle, we can use Newton's second law of motion, which states:

[tex]\[ \text{Force} = \text{mass} \times \text{acceleration} \][/tex]

We need to find the acceleration, so we rearrange the formula to solve for acceleration ([tex]\( a \)[/tex]):

[tex]\[ \text{acceleration} = \frac{\text{Force}}{\text{mass}} \][/tex]

Let's plug in the given values:

- The forward force applied is 172 N (Newtons).
- The combined mass of you and the bicycle is 51 kg.

Now, we calculate the acceleration:

[tex]\[ a = \frac{172 \, \text{N}}{51 \, \text{kg}} \][/tex]

After dividing 172 by 51, we get an acceleration of approximately 3.37 m/s².

Therefore, the forward acceleration of the bicycle is:

D. [tex]\(3.37 \, \text{m/s}^2\)[/tex]

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Rewritten by : Barada