Question

3.3.2 test (cst): forces
question 12 of 20
two bicyclists are accelerating forward at the same rate. the net force on both bikers is in the forward direction, but the net force on biker 1 is greater than on biker 2. which statement describes the mass of the bikers?
a. biker 1 has more mass than biker 2.
b. the mass of biker 2 is greater than the mass of biker 1.
c. the masses of both bikers are constantly changing.
d. the bikers have the same mass.

Explanation:

Step1: Apply 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.

Step2: Analyze the relationship between \(F\) and \(m\)

Given that \(a_1=a_2\) (same acceleration) and \(F_1 > F_2\) (net - force on Biker 1 is greater). From \(F = ma\), we can express \(m=\frac{F}{a}\). Since \(a\) is the same for both bikers (\(a>0\)), when \(F_1 > F_2\), then \(\frac{F_1}{a}>\frac{F_2}{a}\).

Answer:

A. Biker 1 has more mass than Biker 2.