Question

Luis and Aisha conducted an experiment. They exerted different forces on four objects. Their results are shown in the table.

A 3-column table with 4 rows. The first column labeled Object has entries 1, 2, 3, 4. The second column labeled Mass has entries 10 kilograms, 100 grams, 10 grams, 1 kilogram. The third column labeled Force (Newtons) has entries 4 Newtons, 20 Newtons, 4 Newtons, 20 Newtons.
Based on the data, which object has the greatest acceleration?

Object 1
Object 2
Object 3
Object 4

Answer 1

Based on Newton's second law and the calculation of acceleration for each object, Object 3, with a mass of 10 grams and a force of 4 Newtons, has the greatest acceleration.

Step-by-step explanation:

To determine which object has the greatest acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass (acceleration = force / mass). Given the data in the question:

• Object 1: Mass = 10 kilograms, Force = 4 Newtons
• Object 2: Mass = 100 grams (0.1 kilograms), Force = 20 Newtons
• Object 3: Mass = 10 grams (0.01 kilograms), Force = 4 Newtons
• Object 4: Mass = 1 kilogram, Force = 20 Newtons

We calculate acceleration using the formula:

• Acceleration of Object 1: 4 N / 10 kg = 0.4 m/s²
• Acceleration of Object 2: 20 N / 0.1 kg = 200 m/s²
• Acceleration of Object 3: 4 N / 0.01 kg = 400 m/s²
• Acceleration of Object 4: 20 N / 1 kg = 20 m/s²

Comparing these accelerations, we find that Object 3 has the greatest acceleration.

Answer 2

Object 3

Step-by-step explanation: