Question

3.1.2 quiz: newtons laws of motion
question 9 of 10
you are riding a bicycle. if you apply a forward force of 125 n, and you and the bicycle have a combined mass of 82 kg, what will be the forward acceleration of the bicycle? (assume there is no friction.)
a. 0.66 m/s²
b. 1.67 m/s²
c. 3.37 m/s²
d. 1.52 m/s²

Explanation:

Step1: Recall Newton's second - law

Newton's second - law is $F = ma$, where $F$ is the net force, $m$ is the mass, and $a$ is the acceleration. We need to solve for $a$.

Step2: Rearrange the formula

We can rewrite $F = ma$ as $a=\frac{F}{m}$.

Step3: Substitute the given values

Given $F = 125\ N$ and $m = 82\ kg$. Substitute these values into the formula: $a=\frac{125}{82}\ m/s^{2}\approx1.52\ m/s^{2}$.

Answer:

D. $1.52\ m/s^{2}$