Questions: Rank the objects according to acceleration; use 1 for the most negative and 4 for the most positive. Directions: Tap each diagram in order to toggle though the possible acceleration rankings. Once each object has a unique ranking, a Check Answer button will appear. 2 4 N ⟵ 0.25 4 N ⟵ 0 kg

Rank the objects according to acceleration; use 1 for the most negative and 4 for the most positive.

Directions: Tap each diagram in order to toggle though the possible acceleration rankings. Once each object has a unique ranking, a Check Answer button will appear.

2

4 N ⟵ 0.25
4 N ⟵ 0 kg

Transcript text: Rank the objects according to acceleration; use 1 for the most negative and 4 for the most positive. Directions: Tap each diagram in order to toggle though the possible acceleration rankings. Once each object has a unique ranking, a Check Answer button will appear. 2 \[ \begin{array}{l} 4 \mathrm{~N} \longleftarrow 0.25 \\ 4 \mathrm{~N} \longleftarrow 0 k g \end{array} \]

Solution

Solution Steps

Step 1: Calculate the net force on each object.

Object 1 (top left): 6N - 2N = 4N to the right Object 2 (top right): 8N - 2N = 6N to the left Object 3 (bottom left): 6N - 2N = 4N to the right Object 4 (bottom right): 4N - 4N = 0N

Step 2: Calculate the acceleration of each object.

Use the formula _a = F/m_ where:

_a_ is the acceleration in m/s²
_F_ is the net force in Newtons
_m_ is the mass in kg.

Object 1: _a_ = 4 N / 0.25 kg = 16 m/s² Object 2: _a_ = -6 N / 0.50 kg = -12 m/s² Object 3: _a_ = 4 N / 16.0 kg = 0.25 m/s² Object 4: _a_ = 0 N / 0.25 kg = 0 m/s²

Step 3: Rank the objects by acceleration

Object 2: -12 m/s² (1) Object 4: 0 m/s² (2) Object 3: 0.25 m/s² (3) Object 1: 16 m/s² (4)