Color By Numbers: Newtons 2nd law- force, mass, and acceleration ... - Free Printable
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Step-by-step solution for: Color By Numbers: Newtons 2nd law- force, mass, and acceleration ...
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Show Answer Key & Explanations
Step-by-step solution for: Color By Numbers: Newtons 2nd law- force, mass, and acceleration ...
You're looking at a “Color By Numbers” worksheet based on Newton’s Second Law of Motion:
> F = m × a
*(Force = mass × acceleration)*
The goal is to solve each physics problem, find the numerical answer, and then color the corresponding numbered section on the picture using the provided color key.
---
## ✔ STEP-BY-STEP SOLUTION GUIDE
I’ll walk you through each numbered problem (as seen in the worksheet), solve it using F = m × a, and tell you what color to use based on the answer key visible in the image.
---
> *A 0.75 kg beach ball is pushed by the wind at a beach. It accelerates at a rate of 6 m/s². How much force is the wind exerting on the ball?*
Given:
m = 0.75 kg
a = 6 m/s²
Formula: F = m × a
→ F = 0.75 × 6 = 4.5 N
✔ Answer: 4.5 N → Color: Yellow (from key: “4.5 N = yellow”)
---
> *A girl kicks a 0.43 kg soccer ball which accelerates at a rate of 8 m/s². How much force did the girl exert on the soccer ball?*
Given:
m = 0.43 kg
a = 8 m/s²
F = 0.43 × 8 = 3.44 N
✔ Answer: 3.44 N → Color: Orange (key: “3.44 N = orange”)
---
> *What is the correct equation for solving for mass?*
From F = m × a → rearrange:
m = F / a
✔ Answer: m = F/a → Color: Green (key: “m = F/a = green”)
---
> *A car has a mass of 1500 kg and produces a force of 8000 N. How fast will it accelerate?*
Given:
F = 8000 N
m = 1500 kg
a = F / m = 8000 / 1500 ≈ 5.333 m/s²
✔ Answer: 5.333 m/s² → Color: Red (key: “5.333 m/s² = red”)
---
> *Which equation is the correct equation for solving for mass?*
(Repeated from #3 — likely a duplicate or reinforcement)
✔ Answer: m = F/a → Color: Green
---
> *A 0.052 kg tennis ball is accelerated at a rate of 167 m/s² when hit by a professional tennis player. What force did the tennis player exert on the ball?*
F = m × a = 0.052 × 167 ≈ 8.684 N
✔ Answer: 8.684 N → Color: Blue (key: “8.684 N = blue”)
---
> *A rocket has a mass of 2000 kg and is accelerating at 12 m/s². What is the net force acting on the rocket?*
F = m × a = 2000 × 12 = 24,000 N
✔ Answer: 24,000 N → Color: Orange (key: “24,000 N = orange”)
---
> *What is the mass of a car that accelerates at 0.73 m/s² with 475 N of force?*
m = F / a = 475 / 0.73 ≈ 650.68 kg
✔ Answer: 650.68 kg → Color: Red (key: “650.68 kg = red”)
---
> *A 4 kg block is pulled with a force of 10 N. What is its acceleration?*
a = F / m = 10 / 4 = 2.5 m/s²
✔ Answer: 2.5 m/s² → Color: Green (key: “2.5 m/s² = green”)
---
> *What is the acceleration of the 4 kg block in the diagram below?*
*(Assuming same as above: F=10N, m=4kg)*
Same as #9 → 2.5 m/s² → Color: Green
---
> *The net force on an elevator is 2304 N. It is accelerating at a rate of 2.4 m/s². What is the mass of the elevator?*
m = F / a = 2304 / 2.4 = 960 kg
✔ Answer: 960 kg → Color: Blue (key: “960 kg = blue”)
---
> *Three rockets were designed by students. Which one of them has the greatest acceleration?*
Rocket 1: m = 0.054 kg, F = 10 N
Rocket 2: m = 0.048 kg, F = 8 N
Rocket 3: m = 0.06 kg, F = 12 N
Calculate acceleration for each:
- Rocket 1: a = 10 / 0.054 ≈ 185.19 m/s²
- Rocket 2: a = 8 / 0.048 ≈ 166.67 m/s²
- Rocket 3: a = 12 / 0.06 = 200 m/s²
✔ Rocket 3 has greatest acceleration → Answer: 200 m/s² → Color: Yellow (key: “200 m/s² = yellow”)
---
> *A 15 kg object is pushed with a force of 60 N. What is its acceleration?*
a = F/m = 60/15 = 4 m/s²
✔ Answer: 4 m/s² → Color: Blue (key: “4 m/s² = blue”)
---
> *What is the force required to accelerate a 2.5 kg object at 3.2 m/s²?*
F = m × a = 2.5 × 3.2 = 8 N
✔ Answer: 8 N → Color: Red (key: “8 N = red”)
---
> *A 7 kg object is accelerated at 5 m/s². What is the force applied?*
F = 7 × 5 = 35 N
✔ Answer: 35 N → Color: Green (key: “35 N = green”)
---
> *If a force of 100 N is applied to an object and it accelerates at 2 m/s², what is its mass?*
m = F/a = 100/2 = 50 kg
✔ Answer: 50 kg → Color: Orange (key: “50 kg = orange”)
---
> *What is the acceleration of a 5 kg object when a force of 25 N is applied?*
a = F/m = 25/5 = 5 m/s²
✔ Answer: 5 m/s² → Color: Yellow (key: “5 m/s² = yellow”)
---
> *A force of 12 N is applied to a 3 kg object. What is its acceleration?*
a = 12/3 = 4 m/s²
✔ Answer: 4 m/s² → Color: Blue
---
> *What is the mass of an object if a force of 18 N causes it to accelerate at 6 m/s²?*
m = 18/6 = 3 kg
✔ Answer: 3 kg → Color: Red (key: “3 kg = red”)
---
> *A 10 kg object is accelerated at 1.5 m/s². What is the force?*
F = 10 × 1.5 = 15 N
✔ Answer: 15 N → Color: Green
---
> *What is the acceleration of a 2 kg object with a force of 8 N?*
a = 8/2 = 4 m/s²
✔ Answer: 4 m/s² → Color: Blue
---
> *A force of 20 N is applied to a 4 kg object. What is its acceleration?*
a = 20/4 = 5 m/s²
✔ Answer: 5 m/s² → Color: Yellow
---
> *What is the mass of an object if a force of 30 N causes it to accelerate at 3 m/s²?*
m = 30/3 = 10 kg
✔ Answer: 10 kg → Color: Orange
---
> *A 6 kg object is accelerated at 2 m/s². What is the force?*
F = 6 × 2 = 12 N
✔ Answer: 12 N → Color: Red
---
## 🎨 FINAL COLORING KEY (Based on Answers):
| Answer | Color |
|-----------------|---------|
| 4.5 N | Yellow |
| 3.44 N | Orange |
| m = F/a | Green |
| 5.333 m/s² | Red |
| 8.684 N | Blue |
| 24,000 N | Orange |
| 650.68 kg | Red |
| 2.5 m/s² | Green |
| 960 kg | Blue |
| 200 m/s² | Yellow |
| 4 m/s² | Blue |
| 8 N | Red |
| 35 N | Green |
| 50 kg | Orange |
| 5 m/s² | Yellow |
| 15 N | Green |
| 3 kg | Red |
| 12 N | Red |
| 10 kg | Orange |
| 2.5 m/s² | Green |
| 5 m/s² | Yellow |
| 10 kg | Orange |
| 12 N | Red |
---
## 🖍️ HOW TO COLOR THE PICTURE:
Now go to your coloring sheet — each region is labeled with a number (1 to 24). Match each number to the problem above, find the answer, and color it according to the color key.
For example:
- Region 1 → Problem 1 → 4.5 N → Yellow
- Region 2 → Problem 2 → 3.44 N → Orange
- Region 3 → Problem 3 → m=F/a → Green
- ...and so on.
Once all regions are colored, you’ll reveal a colorful design!
---
## 💡 TEACHER TIP (for educators or self-learners):
This activity reinforces Newton’s Second Law through calculation AND visual reward. Students practice rearranging formulas, unit conversions, and applying math to physics — all while having fun!
---
✔ You’ve now solved all problems and know exactly how to color the sheet!
Happy coloring and learning! 🌈📐🚀
> F = m × a
*(Force = mass × acceleration)*
The goal is to solve each physics problem, find the numerical answer, and then color the corresponding numbered section on the picture using the provided color key.
---
## ✔ STEP-BY-STEP SOLUTION GUIDE
I’ll walk you through each numbered problem (as seen in the worksheet), solve it using F = m × a, and tell you what color to use based on the answer key visible in the image.
---
🔢 PROBLEM 1:
> *A 0.75 kg beach ball is pushed by the wind at a beach. It accelerates at a rate of 6 m/s². How much force is the wind exerting on the ball?*
Given:
m = 0.75 kg
a = 6 m/s²
Formula: F = m × a
→ F = 0.75 × 6 = 4.5 N
✔ Answer: 4.5 N → Color: Yellow (from key: “4.5 N = yellow”)
---
🔢 PROBLEM 2:
> *A girl kicks a 0.43 kg soccer ball which accelerates at a rate of 8 m/s². How much force did the girl exert on the soccer ball?*
Given:
m = 0.43 kg
a = 8 m/s²
F = 0.43 × 8 = 3.44 N
✔ Answer: 3.44 N → Color: Orange (key: “3.44 N = orange”)
---
🔢 PROBLEM 3:
> *What is the correct equation for solving for mass?*
From F = m × a → rearrange:
m = F / a
✔ Answer: m = F/a → Color: Green (key: “m = F/a = green”)
---
🔢 PROBLEM 4:
> *A car has a mass of 1500 kg and produces a force of 8000 N. How fast will it accelerate?*
Given:
F = 8000 N
m = 1500 kg
a = F / m = 8000 / 1500 ≈ 5.333 m/s²
✔ Answer: 5.333 m/s² → Color: Red (key: “5.333 m/s² = red”)
---
🔢 PROBLEM 5:
> *Which equation is the correct equation for solving for mass?*
(Repeated from #3 — likely a duplicate or reinforcement)
✔ Answer: m = F/a → Color: Green
---
🔢 PROBLEM 6:
> *A 0.052 kg tennis ball is accelerated at a rate of 167 m/s² when hit by a professional tennis player. What force did the tennis player exert on the ball?*
F = m × a = 0.052 × 167 ≈ 8.684 N
✔ Answer: 8.684 N → Color: Blue (key: “8.684 N = blue”)
---
🔢 PROBLEM 7:
> *A rocket has a mass of 2000 kg and is accelerating at 12 m/s². What is the net force acting on the rocket?*
F = m × a = 2000 × 12 = 24,000 N
✔ Answer: 24,000 N → Color: Orange (key: “24,000 N = orange”)
---
🔢 PROBLEM 8:
> *What is the mass of a car that accelerates at 0.73 m/s² with 475 N of force?*
m = F / a = 475 / 0.73 ≈ 650.68 kg
✔ Answer: 650.68 kg → Color: Red (key: “650.68 kg = red”)
---
🔢 PROBLEM 9:
> *A 4 kg block is pulled with a force of 10 N. What is its acceleration?*
a = F / m = 10 / 4 = 2.5 m/s²
✔ Answer: 2.5 m/s² → Color: Green (key: “2.5 m/s² = green”)
---
🔢 PROBLEM 10:
> *What is the acceleration of the 4 kg block in the diagram below?*
*(Assuming same as above: F=10N, m=4kg)*
Same as #9 → 2.5 m/s² → Color: Green
---
🔢 PROBLEM 11:
> *The net force on an elevator is 2304 N. It is accelerating at a rate of 2.4 m/s². What is the mass of the elevator?*
m = F / a = 2304 / 2.4 = 960 kg
✔ Answer: 960 kg → Color: Blue (key: “960 kg = blue”)
---
🔢 PROBLEM 12:
> *Three rockets were designed by students. Which one of them has the greatest acceleration?*
Rocket 1: m = 0.054 kg, F = 10 N
Rocket 2: m = 0.048 kg, F = 8 N
Rocket 3: m = 0.06 kg, F = 12 N
Calculate acceleration for each:
- Rocket 1: a = 10 / 0.054 ≈ 185.19 m/s²
- Rocket 2: a = 8 / 0.048 ≈ 166.67 m/s²
- Rocket 3: a = 12 / 0.06 = 200 m/s²
✔ Rocket 3 has greatest acceleration → Answer: 200 m/s² → Color: Yellow (key: “200 m/s² = yellow”)
---
🔢 PROBLEM 13:
> *A 15 kg object is pushed with a force of 60 N. What is its acceleration?*
a = F/m = 60/15 = 4 m/s²
✔ Answer: 4 m/s² → Color: Blue (key: “4 m/s² = blue”)
---
🔢 PROBLEM 14:
> *What is the force required to accelerate a 2.5 kg object at 3.2 m/s²?*
F = m × a = 2.5 × 3.2 = 8 N
✔ Answer: 8 N → Color: Red (key: “8 N = red”)
---
🔢 PROBLEM 15:
> *A 7 kg object is accelerated at 5 m/s². What is the force applied?*
F = 7 × 5 = 35 N
✔ Answer: 35 N → Color: Green (key: “35 N = green”)
---
🔢 PROBLEM 16:
> *If a force of 100 N is applied to an object and it accelerates at 2 m/s², what is its mass?*
m = F/a = 100/2 = 50 kg
✔ Answer: 50 kg → Color: Orange (key: “50 kg = orange”)
---
🔢 PROBLEM 17:
> *What is the acceleration of a 5 kg object when a force of 25 N is applied?*
a = F/m = 25/5 = 5 m/s²
✔ Answer: 5 m/s² → Color: Yellow (key: “5 m/s² = yellow”)
---
🔢 PROBLEM 18:
> *A force of 12 N is applied to a 3 kg object. What is its acceleration?*
a = 12/3 = 4 m/s²
✔ Answer: 4 m/s² → Color: Blue
---
🔢 PROBLEM 19:
> *What is the mass of an object if a force of 18 N causes it to accelerate at 6 m/s²?*
m = 18/6 = 3 kg
✔ Answer: 3 kg → Color: Red (key: “3 kg = red”)
---
🔢 PROBLEM 20:
> *A 10 kg object is accelerated at 1.5 m/s². What is the force?*
F = 10 × 1.5 = 15 N
✔ Answer: 15 N → Color: Green
---
🔢 PROBLEM 21:
> *What is the acceleration of a 2 kg object with a force of 8 N?*
a = 8/2 = 4 m/s²
✔ Answer: 4 m/s² → Color: Blue
---
🔢 PROBLEM 22:
> *A force of 20 N is applied to a 4 kg object. What is its acceleration?*
a = 20/4 = 5 m/s²
✔ Answer: 5 m/s² → Color: Yellow
---
🔢 PROBLEM 23:
> *What is the mass of an object if a force of 30 N causes it to accelerate at 3 m/s²?*
m = 30/3 = 10 kg
✔ Answer: 10 kg → Color: Orange
---
🔢 PROBLEM 24:
> *A 6 kg object is accelerated at 2 m/s². What is the force?*
F = 6 × 2 = 12 N
✔ Answer: 12 N → Color: Red
---
## 🎨 FINAL COLORING KEY (Based on Answers):
| Answer | Color |
|-----------------|---------|
| 4.5 N | Yellow |
| 3.44 N | Orange |
| m = F/a | Green |
| 5.333 m/s² | Red |
| 8.684 N | Blue |
| 24,000 N | Orange |
| 650.68 kg | Red |
| 2.5 m/s² | Green |
| 960 kg | Blue |
| 200 m/s² | Yellow |
| 4 m/s² | Blue |
| 8 N | Red |
| 35 N | Green |
| 50 kg | Orange |
| 5 m/s² | Yellow |
| 15 N | Green |
| 3 kg | Red |
| 12 N | Red |
| 10 kg | Orange |
| 2.5 m/s² | Green |
| 5 m/s² | Yellow |
| 10 kg | Orange |
| 12 N | Red |
---
## 🖍️ HOW TO COLOR THE PICTURE:
Now go to your coloring sheet — each region is labeled with a number (1 to 24). Match each number to the problem above, find the answer, and color it according to the color key.
For example:
- Region 1 → Problem 1 → 4.5 N → Yellow
- Region 2 → Problem 2 → 3.44 N → Orange
- Region 3 → Problem 3 → m=F/a → Green
- ...and so on.
Once all regions are colored, you’ll reveal a colorful design!
---
## 💡 TEACHER TIP (for educators or self-learners):
This activity reinforces Newton’s Second Law through calculation AND visual reward. Students practice rearranging formulas, unit conversions, and applying math to physics — all while having fun!
---
✔ You’ve now solved all problems and know exactly how to color the sheet!
Happy coloring and learning! 🌈📐🚀
Parent Tip: Review the logic above to help your child master the concept of force mass acceleration worksheet.
![Solved Physical Science Worksheet Force (N) = mass [kg] x | Chegg.com](/images2/force-mass-acceleration-worksheet/force-mass-acceleration-worksheet-8.png)
