It looks like you've uploaded a worksheet on
Newton's Second Law of Motion, which states:
>
F = m × a
> (Force = mass × acceleration)
We’ll solve each problem step by step, using this formula. Remember:
- Force (
F) is measured in
Newtons (N)
- Mass (
m) is in
kilograms (kg)
- Acceleration (
a) is in
meters per second squared (m/s²)
---
🔹 Problem 1:
A 40.0 kg plane is accelerating at a rate of 4 m/s². How much force does the engine have to put out?
Given:
- m = 40.0 kg
- a = 4 m/s²
Formula:
F = m × a
Calculation:
F = 40.0 kg × 4 m/s² =
160 N
✔ Answer: The engine must exert
160 Newtons of force.
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🔹 Problem 2:
A girl on a bike is accelerating at a rate of 5 m/s² and has a total mass of 60 kg. How much force is the girl applying to her bike to move at this rate?
Given:
- m = 60 kg
- a = 5 m/s²
Formula:
F = m × a
Calculation:
F = 60 kg × 5 m/s² =
300 N
✔ Answer: The girl applies
300 Newtons of force.
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🔹 Problem 3:
How much force does a 15 kg baby have that is crawling through the house at an acceleration of 12 m/s²?
Given:
- m = 15 kg
- a = 12 m/s²
Formula:
F = m × a
Calculation:
F = 15 kg × 12 m/s² =
180 N
✔ Answer: The baby exerts
180 Newtons of force.
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🔹 Problem 4:
How much mass is required to exert a force of 36 Newtons, accelerating at 4 m/s²?
Now we’re solving for
mass, so rearrange the formula:
m = F / a
Given:
- F = 36 N
- a = 4 m/s²
Calculation:
m = 36 N ÷ 4 m/s² =
9 kg
✔ Answer: A mass of
9 kilograms is required.
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✔ Final Answers Summary:
| Problem | Mass (kg) | Acceleration (m/s²) | Force (N) |
|--------|-----------|---------------------|-----------|
| 1 | 40.0 | 4 |
160 N |
| 2 | 60 | 5 |
300 N |
| 3 | 15 | 12 |
180 N |
| 4 | ? | 4 | 36 N →
9 kg |
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Let me know if you'd like this formatted as a printable answer sheet or need help with any other physics problems!
Parent Tip: Review the logic above to help your child master the concept of newton s second law of motion problems worksheet.
