Calculating Force, Mass, and Acceleration *SELF GRADING* google sheet - Free Printable

Let’s solve each question one by one using Newton’s Second Law:
Force = Mass × Acceleration → F = m × a

We can rearrange this formula depending on what we’re solving for:
- To find mass: m = F ÷ a
- To find acceleration: a = F ÷ m
- To find force: F = m × a

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Question 1:
What is the mass of a falling rock accelerating at 9.8 m/s² if the rock produces 147 N of force?

→ We are given:
F = 147 N
a = 9.8 m/s²
Find: m = ?

Use: m = F ÷ a
m = 147 ÷ 9.8
Let’s calculate:
147 ÷ 9.8 = 15 (because 9.8 × 15 = 147)

✔ So, mass = 15 kg

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Question 2:
What is the mass of a truck if it produces 14,000 N while accelerating at a rate of 5 m/s²?

→ Given:
F = 14,000 N
a = 5 m/s²
Find: m = ?

Use: m = F ÷ a
m = 14,000 ÷ 5 = 2,800

✔ So, mass = 2800 kg

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Question 3:
What is the acceleration of a softball if it has a mass of 0.5 kg and hits the catcher’s glove with a force of 25 Newtons?

→ Given:
m = 0.5 kg
F = 25 N
Find: a = ?

Use: a = F ÷ m
a = 25 ÷ 0.5 = 50

✔ So, acceleration = 50 m/s²

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Question 4:
Sally has a car that accelerates at 4 m/s². If the car has a mass of 1,000 kg, how much force does the car produce?

→ Given:
m = 1,000 kg
a = 4 m/s²
Find: F = ?

Use: F = m × a
F = 1,000 × 4 = 4,000

✔ So, force = 4000 N

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Question 5:
*(Note: The image cuts off Question 5 — no values or text visible. Since we cannot see the problem, we skip it.)*

But wait — looking again at your original image description, you said “Solve the following problems” and listed up to Question 4 clearly. Question 5 appears blank in the provided text. So unless more info is given, we stop at Q4.

However, let me double-check: In your initial prompt, under “Question 5”, there’s nothing written — just empty boxes. So likely, it’s incomplete or not meant to be solved yet.

So we’ll provide answers for Questions 1–4 only.

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Final Answer:

Question 1: m=15 units=kg
Formula to use: m=F/a
F=147 N
a=9.8 m/s²

Question 2: m=2800 units=kg
Formula to use: m=F/a
F=14000 N
a=5 m/s²

Question 3: a=50 units=m/s²
Formula to use: a=F/m
F=25 N
m=0.5 kg

Question 4: F=4000 units=N
Formula to use: F=m×a
m=1000 kg
a=4 m/s²

Question 5: [Incomplete — no data provided]