Question

What is the acceleration of the case of water bottles? Remember you can use your Desmos Calculator



(1 point)

0.5 m/s2

2 m/s2

2.32 m/s2

2.7 m/s2
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Answer 1

I don’t have the full problem statement or the numbers (mass, forces, angle, friction coefficient, etc.), so I can’t pick the correct choice from those four. Can you paste the full problem or a picture?

Meanwhile, here are the formulas and steps you can use (and enter into Desmos) to find the acceleration depending on the situation:

1. If you know the net force Fnet on the case and its mass m:
a = Fnet / m

In Desmos: a = Fnet / m

2. On an incline without friction:
a = g * sin(θ)

In Desmos: a = 9.8 * sin(theta) (enter theta in radians or use sin(30 deg) syntax)

3. On an incline with kinetic friction μk:
a = g * (sin(θ) − μk * cos(θ))

In Desmos: a = 9.8*(sin(theta) - mu_k*cos(theta))

4. Horizontal push with friction:
a = (F_push − μk * m * g) / m = F_push/m − μk * g

In Desmos: a = Fpush/m - mu_k*9.8

If you post the numbers from your worksheet (mass, forces, angle, μ), I’ll compute the acceleration and pick which of the four choices is correct.