Let’s solve each problem step by step using Newton’s 2nd Law:
Force = mass × acceleration →
F = m × a
We’ll use this formula for all problems. Remember to include units in your answers!
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Problem 1:
How much force is needed to accelerate a 66 kg skier at 2 m/s²?
→ F = m × a
→ F = 66 kg × 2 m/s²
→ F =
132 N
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Problem 2:
What is the force on a 1,000 kg elevator that is falling freely at 9.8 m/s²?
→ F = m × a
→ F = 1000 kg × 9.8 m/s²
→ F =
9800 N
*(Note: This is also the weight of the elevator — gravity pulling it down.)*
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Problem 3:
What is the acceleration of a 50 kg object pushed with a force of 500 newtons?
→ We rearrange the formula:
a = F ÷ m
→ a = 500 N ÷ 50 kg
→ a =
10 m/s²
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Problem 4:
The mass of a large car is 1000 kg. How much force would be required to accelerate the car at a rate of 3 m/s²?
→ F = m × a
→ F = 1000 kg × 3 m/s²
→ F =
3000 N
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Problem 5:
A 50 kg skater pushed by a friend accelerates 5 m/s². How much force did the friend apply?
→ F = m × a
→ F = 50 kg × 5 m/s²
→ F =
250 N
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Problem 6:
A force of 250 N is applied to an object that accelerates at a rate of 5 m/s². What is the mass of the object?
→ Rearrange formula:
m = F ÷ a
→ m = 250 N ÷ 5 m/s²
→ m =
50 kg
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Final Answer:
1) 132 N
2) 9800 N
3) 10 m/s²
4) 3000 N
5) 250 N
6) 50 kg
Parent Tip: Review the logic above to help your child master the concept of newton s three laws of motion worksheet.
