GRADE 7 LAW OF ACCELERATION PROBLEM SOLVING

The Law of Acceleration, also known as Newton’s Second Law of Motion, states that the acceleration of an object depends on the force applied to it and its mass. Mathematically, it is represented by the formula:

𝐹
=
𝑚
×
𝑎
F=m×a
where F is force (measured in Newtons, N), m is mass (in kilograms, kg), and a is acceleration (in meters per second squared, m/s²). This law explains how objects move when acted upon by different forces, emphasizing that the greater the force applied to an object, the greater its acceleration, and the more massive the object, the more force is needed to move it.

Step-by-Step Problem Solving Guide
To solve problems related to the Law of Acceleration, follow these steps:

Identify the Given Values – Look for the values of force, mass, or acceleration in the problem.
Determine the Unknown Variable – Identify what needs to be solved (force, mass, or acceleration).
Use the Formula – Substitute the given values into F = m × a or its rearranged forms:
To find force:
𝐹
=
𝑚
×
𝑎
F=m×a
To find mass:
𝑚
=
𝐹
𝑎
m=
a
F
​

To find acceleration:
𝑎
=
𝐹
𝑚
a=
m
F
​

Solve and Include Units – Perform calculations carefully and include the correct units (N for force, kg for mass, m/s² for acceleration).
Check if the Answer Makes Sense – Consider whether the result is reasonable based on the given values.
Example Problems and Solutions
Example 1: Finding Force
Problem: A 10 kg cart is accelerating at 2 m/s². What is the force acting on it?
Solution:

𝐹
=
𝑚
×
𝑎
F=m×a
𝐹
=
10
 
𝑘
𝑔
×
2
 
𝑚
/
𝑠
2
F=10kg×2m/s
2

𝐹
=
20
 
𝑁
F=20N
Answer: The force acting on the cart is 20 Newtons (N).

1. LAW OF ACCELERATION PROBLEM SOLVING

2. 1. An object with a mass of 5.3 kg. accelerates 8.0 m/s² when an unknown force is applied to it. What is the amount of the force?

3. 2. An object with a mass of 1,500 g accelerates 10.0 m/s² when an unknown force is applied to it. What is the amount of the force?

4. 3. An object accelerates 16.3 m/s² when a force of 4.6 N is applied to it. What is the mass of the object?

5. 4. An object with a mass of 6.3 kg has a force of 7.1 N applied to it. What is the resulting acceleration of the object?