Calculating Force Worksheet | PDF - Free Printable
Educational worksheet: Calculating Force Worksheet | PDF. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Calculating Force Worksheet | PDF
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Show Answer Key & Explanations
Step-by-step solution for: Calculating Force Worksheet | PDF
I will solve each of the 7 problems on the worksheet step by step, using the formula:
Force = mass × acceleration
or
F = m × a
Remember:
- Mass must be in kilograms (kg)
- Acceleration must be in meters per second squared (m/s²)
- Force will then be in Newtons (N)
---
Problem 1:
A man hits a golf ball (0.2 kg) which accelerates at a rate of 20 m/s². What amount of force acted on the ball?
→ Mass = 0.2 kg
→ Acceleration = 20 m/s²
→ F = 0.2 × 20 = 4 N
✔ Check: 0.2 × 20 is indeed 4. Units are correct → Newtons.
---
Problem 2:
You give a shopping cart a shove down the aisle. The cart is full of groceries and has a mass of 18 kg. The cart accelerates at a rate of 3 m/s². How much force did you exert on the cart?
→ Mass = 18 kg
→ Acceleration = 3 m/s²
→ F = 18 × 3 = 54 N
✔ Check: 18 × 3 = 54. Correct units.
---
Problem 3:
The wind pushes a paper cup along the sand at a beach. The cup has a mass of 25 grams (= ? kg) and accelerates at a rate of 5 m/s². How much force (in Newtons) is the wind exerting on the cup?
→ First, convert grams to kilograms:
25 grams = 25 ÷ 1000 = 0.025 kg
→ Acceleration = 5 m/s²
→ F = 0.025 × 5 = 0.125 N
✔ Check: 0.025 × 5 = 0.125. Correct.
---
Problem 4:
You push a friend sitting on a swing. She has a mass of 50 kg and accelerates at a rate of 4 m/s². Find the force you exerted.
→ Mass = 50 kg
→ Acceleration = 4 m/s²
→ F = 50 × 4 = 200 N
✔ Check: 50 × 4 = 200. Correct.
---
Problem 5:
How much force would it take to push another, larger friend who has a mass of 70 kg to accelerate at the same rate of 4 m/s²?
→ Mass = 70 kg
→ Acceleration = 4 m/s²
→ F = 70 × 4 = 280 N
✔ Check: 70 × 4 = 280. Correct.
---
Problem 6:
A worker drops his hammer off the roof of a house. The hammer has a mass of 9 kg, and gravity accelerates it at the usual 9.8 m/s². How much force does the earth apply to the hammer?
→ This is the weight of the hammer — force due to gravity.
→ Mass = 9 kg
→ Acceleration = 9.8 m/s²
→ F = 9 × 9.8 = 88.2 N
✔ Check: 9 × 9.8 = 88.2. Correct.
---
Problem 7:
A car whose mass is 1000 kg is traveling at a constant speed of 10 m/s. Neglecting any friction, how much force will the engine have to supply to keep going the same speed? (tricky question) (think INERTIA) (look at the units)
→ Key phrase: “constant speed” → that means no acceleration (acceleration = 0 m/s²)
→ Even though the car is moving, if speed isn’t changing, acceleration is zero.
→ F = m × a = 1000 × 0 = 0 N
💡 Think about inertia: An object in motion stays in motion unless acted upon by a force. If there’s no friction or air resistance, the engine doesn’t need to push at all to keep the car moving at constant speed.
✔ So, force required = 0 N
---
Final Answers:
1. 4 N
2. 54 N
3. 0.125 N
4. 200 N
5. 280 N
6. 88.2 N
7. 0 N
Final Answer:
1. 4 N
2. 54 N
3. 0.125 N
4. 200 N
5. 280 N
6. 88.2 N
7. 0 N
Force = mass × acceleration
or
F = m × a
Remember:
- Mass must be in kilograms (kg)
- Acceleration must be in meters per second squared (m/s²)
- Force will then be in Newtons (N)
---
Problem 1:
A man hits a golf ball (0.2 kg) which accelerates at a rate of 20 m/s². What amount of force acted on the ball?
→ Mass = 0.2 kg
→ Acceleration = 20 m/s²
→ F = 0.2 × 20 = 4 N
✔ Check: 0.2 × 20 is indeed 4. Units are correct → Newtons.
---
Problem 2:
You give a shopping cart a shove down the aisle. The cart is full of groceries and has a mass of 18 kg. The cart accelerates at a rate of 3 m/s². How much force did you exert on the cart?
→ Mass = 18 kg
→ Acceleration = 3 m/s²
→ F = 18 × 3 = 54 N
✔ Check: 18 × 3 = 54. Correct units.
---
Problem 3:
The wind pushes a paper cup along the sand at a beach. The cup has a mass of 25 grams (= ? kg) and accelerates at a rate of 5 m/s². How much force (in Newtons) is the wind exerting on the cup?
→ First, convert grams to kilograms:
25 grams = 25 ÷ 1000 = 0.025 kg
→ Acceleration = 5 m/s²
→ F = 0.025 × 5 = 0.125 N
✔ Check: 0.025 × 5 = 0.125. Correct.
---
Problem 4:
You push a friend sitting on a swing. She has a mass of 50 kg and accelerates at a rate of 4 m/s². Find the force you exerted.
→ Mass = 50 kg
→ Acceleration = 4 m/s²
→ F = 50 × 4 = 200 N
✔ Check: 50 × 4 = 200. Correct.
---
Problem 5:
How much force would it take to push another, larger friend who has a mass of 70 kg to accelerate at the same rate of 4 m/s²?
→ Mass = 70 kg
→ Acceleration = 4 m/s²
→ F = 70 × 4 = 280 N
✔ Check: 70 × 4 = 280. Correct.
---
Problem 6:
A worker drops his hammer off the roof of a house. The hammer has a mass of 9 kg, and gravity accelerates it at the usual 9.8 m/s². How much force does the earth apply to the hammer?
→ This is the weight of the hammer — force due to gravity.
→ Mass = 9 kg
→ Acceleration = 9.8 m/s²
→ F = 9 × 9.8 = 88.2 N
✔ Check: 9 × 9.8 = 88.2. Correct.
---
Problem 7:
A car whose mass is 1000 kg is traveling at a constant speed of 10 m/s. Neglecting any friction, how much force will the engine have to supply to keep going the same speed? (tricky question) (think INERTIA) (look at the units)
→ Key phrase: “constant speed” → that means no acceleration (acceleration = 0 m/s²)
→ Even though the car is moving, if speed isn’t changing, acceleration is zero.
→ F = m × a = 1000 × 0 = 0 N
💡 Think about inertia: An object in motion stays in motion unless acted upon by a force. If there’s no friction or air resistance, the engine doesn’t need to push at all to keep the car moving at constant speed.
✔ So, force required = 0 N
---
Final Answers:
1. 4 N
2. 54 N
3. 0.125 N
4. 200 N
5. 280 N
6. 88.2 N
7. 0 N
Final Answer:
1. 4 N
2. 54 N
3. 0.125 N
4. 200 N
5. 280 N
6. 88.2 N
7. 0 N
Parent Tip: Review the logic above to help your child master the concept of calculating force worksheet.
