Question

question 5. which statements correctly describe the acceleration of the objects using newton’s second law of motion? select two correct answers. a. object 2 has greater acceleration than object 1. b. objects 3 and 4 have the greatest acceleration. c. object 3 has the smallest acceleration. chart with columns: object, mass (kg), force (n), acceleration (m/s²); rows: 1 (5,15,?), 2 (5,60,?), 3 (15,15,?), 4 (15,60,?)

Explanation:

Step1: Recall Newton's Second Law

Newton's Second Law is \( F = ma \), so \( a=\frac{F}{m} \). We'll calculate acceleration for each object.

Step2: Calculate acceleration for Object 1

Object 1: \( m = 5 \, \text{kg} \), \( F = 15 \, \text{N} \).
\( a_1=\frac{15}{5}=3 \, \text{m/s}^2 \).

Step3: Calculate acceleration for Object 2

Object 2: \( m = 5 \, \text{kg} \), \( F = 60 \, \text{N} \).
\( a_2=\frac{60}{5}=12 \, \text{m/s}^2 \).

Step4: Calculate acceleration for Object 3

Object 3: \( m = 15 \, \text{kg} \), \( F = 15 \, \text{N} \).
\( a_3=\frac{15}{15}=1 \, \text{m/s}^2 \).

Step5: Calculate acceleration for Object 4

Object 4: \( m = 15 \, \text{kg} \), \( F = 60 \, \text{N} \).
\( a_4=\frac{60}{15}=4 \, \text{m/s}^2 \).

Step6: Analyze Option A

Object 2's acceleration (\( 12 \, \text{m/s}^2 \)) is greater than Object 1's (\( 3 \, \text{m/s}^2 \)). So A is correct.

Step7: Analyze Option B

Object 2: \( 12 \, \text{m/s}^2 \), Object 4: \( 4 \, \text{m/s}^2 \). Object 2 has greater acceleration than 4, so B is incorrect.

Step8: Analyze Option C

Object 3 has \( 1 \, \text{m/s}^2 \), which is the smallest. So C is correct.

Answer:

A. Object 2 has greater acceleration than Object 1.
C. Object 3 has the smallest acceleration.