Question

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. 1.52 m/s²

b. 1.67 m/s²

c. 0.66 m/s²

d. 3.37 m/s²

Explanation:

Step1: Recall Newton's Second Law

Newton's second law is given by \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration. We need to solve for \( a \), so we rearrange the formula to \( a=\frac{F}{m} \).

Step2: Substitute the given values

We know that \( F = 125\space N \) and \( m = 82\space kg \). Substituting these values into the formula \( a=\frac{F}{m} \), we get \( a=\frac{125}{82} \).

Step3: Calculate the acceleration

Calculating \( \frac{125}{82}\approx1.52\space m/s^{2} \).

Answer:

A. \( 1.52\space m/s^{2} \)