Question

homework 3 begin date: 8/17/2025 11:59:00 pm due date: 9/9/2025 11:59:00 pm end date: 9/9/2025 11:59:00 pm
problem 8: (6% of assignment value)
a toy car rolls down a ramp at a constant velocity. the cars mass is m = 1.2 kg, and the ramp makes an angle of θ = 11° with respect to the horizontal. assume that the rolling resistance is negligible. note the coordinate system provided on the image where the x axis is parallel to and directed down the incline.

• part (a) ✔️

what is the magnitude, in meters per squared second, of the cars acceleration?
a = 0.000 m/s² ✔️ correct!

part (b)
what is the numeric value, in newtons, for the sum of the forces in the x direction?
ς fₓ = n

Explanation:

Step1: Recall Newton's Second Law

Newton's second law states that $\sum F = ma$, where $\sum F$ is the net force, $m$ is the mass, and $a$ is the acceleration.

Step2: Use the acceleration from Part (a)

From Part (a), the acceleration $a = 0.000\ \text{m/s}^2$. The mass $m = 1.2\ \text{kg}$.

Step3: Calculate the net force in the x - direction

Substitute the values into the formula $\sum F_x=ma$. So $\sum F_x=(1.2\ \text{kg})\times(0.000\ \text{m/s}^2)$.

Answer:

$0$