Question

you are riding a bicycle. if you apply a forward force of 150 n, and you and the bicycle have a combined mass of 90 kg, what will be the forward acceleration of the bicycle? (assume there is no friction.)
a. 0.60 m/s²
b. 1.67 m/s²
c. 3.37 m/s²
d. 1.85 m/s²

Explanation:

Step1: Recall Newton's second law

Newton's second law is $F = ma$, where $F$ is the force, $m$ is the mass, and $a$ is the acceleration. We need to solve for $a$, so we can rewrite the formula as $a=\frac{F}{m}$.

Step2: Substitute the given values

We are given that $F = 150\ N$ and $m=90\ kg$. Substituting these values into the formula $a=\frac{F}{m}$, we get $a=\frac{150}{90}$.

Step3: Calculate the value of $a$

$a=\frac{150}{90}\approx1.67\ m/s^{2}$

Answer:

B. $1.67\ m/s^{2}$