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.\n| object | mass | force (n) |\n| ---- | ---- | ---- |\n| 1 | 10 kg | 4 n |\n| 2 | 100 g | 20 n |\n| 3 | 10 g | 4 n |\n| 4 | 1 kg | 20 n |\nbased on the data, which object has the greatest acceleration?\no object 1\no object 2\no object 3\no object 4

luis and aisha conducted an experiment. they exerted different forces on four objects. their results are shown in the table.\n| object | mass | force (n) |\n| ---- | ---- | ---- |\n| 1 | 10 kg | 4 n |\n| 2 | 100 g | 20 n |\n| 3 | 10 g | 4 n |\n| 4 | 1 kg | 20 n |\nbased on the data, which object has the greatest acceleration?\no object 1\no object 2\no object 3\no object 4

Answer

Explanation:

Step1: Convert mass units

First, convert the mass of object 2 and 3 to kg. 100 g = 0.1 kg and 10 g=0.01 kg.

Step2: Apply Newton's second - law formula

Newton's second - law is $F = ma$, so $a=\frac{F}{m}$. For object 1: $a_1=\frac{F_1}{m_1}=\frac{4}{10}=0.4$ m/s². For object 2: $a_2=\frac{F_2}{m_2}=\frac{20}{0.1}=200$ m/s². For object 3: $a_3=\frac{F_3}{m_3}=\frac{4}{0.01}=400$ m/s². For object 4: $a_4=\frac{F_4}{m_4}=\frac{20}{1}=20$ m/s².

Step3: Compare accelerations

Compare the values of $a_1 = 0.4$ m/s², $a_2 = 200$ m/s², $a_3 = 400$ m/s², $a_4 = 20$ m/s².

Answer:

Object 3