luis and aisha conducted an experiment. they exerted different forces on four objects. their results are…

luis and aisha conducted an experiment. they exerted different forces on four objects. their results are shown in the table. based on the data, which object has the greatest acceleration? object 1 object 2 object 3 object 4

luis and aisha conducted an experiment. they exerted different forces on four objects. their results are shown in the table. based on the data, which object has the greatest acceleration? object 1 object 2 object 3 object 4

Answer

Answer:

Object 3

Explanation:

Step1: Convert mass units to kg

We know that $1\ g = 0.001\ kg$. So object 2 mass $m_2=100\ g = 0.1\ kg$, object 3 mass $m_3 = 10\ g=0.01\ kg$. Object 1 mass $m_1 = 10\ kg$ and object 4 mass $m_4=1\ kg$.

Step2: Use Newton's second - law $F = ma$ to find acceleration

The formula for acceleration is $a=\frac{F}{m}$. For object 1: $a_1=\frac{F_1}{m_1}=\frac{4\ N}{10\ kg}=0.4\ m/s^{2}$. For object 2: $a_2=\frac{F_2}{m_2}=\frac{20\ N}{0.1\ kg}=200\ m/s^{2}$. For object 3: $a_3=\frac{F_3}{m_3}=\frac{4\ N}{0.01\ kg}=400\ m/s^{2}$. For object 4: $a_4=\frac{F_4}{m_4}=\frac{20\ N}{1\ kg}=20\ m/s^{2}$. Since $400>200 > 20>0.4$, object 3 has the greatest acceleration.