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Forces In Action
Forces In Action
Force Formula
Force Formula
The SI unit of force is the Newton (N).
Mass is measured in kilograms (kg), not grams (g), when calculating force.
Acceleration is measured in meters per second squared (m/s²).
Now, when we compute force using Newton's second law F=m×a, we multiply mass (in kg) by acceleration (in m/s²):
Force=Mass × Acceleration= kg⋅m/s2
This gives us the unit for force as kg⋅m/s², which is defined as 1 Newton (N).
So, when you multiply kilograms by meters per second squared, the result is in Newtons (N), the unit of force.
Example Problem
Example Problem
A bike with a mass of 10 kg accelerates at a rate of 2 m/s². What is the force applied to the bike?
Answer:
Answer:
Given:
Mass (m) = 10 kg
Acceleration (a) = 2 m/s²
Formula:
F=m × a
Where:
F is the force (in newtons, N),
m is the mass (in kilograms, kg),
a is the acceleration (in meters per second squared, m/s²).
Solution:
Substitute the given values into the formula:
F = 10 kg × 2 m/s²
F = 20 N
Final Answer:
The force applied to the bike is 20 newtons or 20 N.
How to illustrate a Free Body Diagram?
How to illustrate a Free Body Diagram?
Consider a man pushing a fruit crate along the floor with a force of 200 N towards the right. The magnitude of this force is 200 N, and it acts in the rightward direction. Also, assume that 1 meter on the Cartesian plane corresponds to 40 N of force. Now, create an accurate representation of this situation.
To create an accurate representation of this situation on the Cartesian plane, follow these steps:
1.Draw a Cartesian plane with the x-axis (horizontal) and y-axis (vertical).
2. According to the given scale, 1 meter corresponds to 40 N. So, for a force of 200 N, the scale value will be:
200 N ÷ 40 N/m = 5 m
This means the vector representing the force will have a length of 5 meters along the x-axis.
3. Starting from the origin (0,0), draw a horizontal arrow that points to the right (along the positive x-axis) with a length of 5 meters.
4. Label the vector with the magnitude of the force, 200 N, and indicate the direction to the right.
Cartesian Coordinate System
Cartesian Coordinate System
To draw your free-body diagram you may try this page below and save it.
Let's have a Game!
Let's have a Game!
Click the link below and for you to draw a free body diagram.
Net Force Formula
Net Force Formula
The net force formula:
Fnet = F1+F2+⋯+Fn,
It gives the total force that determines the object's motion. The net force is what causes the object to accelerate.
Forces in the same direction add up
Fnet = F1 + F2...
Answer:
Fnet = 11 N + 32 N
Fnet = 43 N
Forces in opposite directions subtract.
Fnet = F1 - F2...
Fnet = 11 N - 11 N
Fnet = O N
Balanced Forces
Balanced Forces
When the forces acting on an object are equal in size and opposite in direction, they cancel each other out. The object does not accelerate.
Fnet = 0 (no acceleration)
Unbalanced Forces
Unbalanced Forces
When the forces acting on an object are not equal, the net force causes the object to accelerate in the direction of the greater force.
Fnet =F1+F2+⋯+Fn (resulting in acceleration)
Checking for Problem Solving Skills
Checking for Problem Solving Skills
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