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physics test review outline - 8th grade hard copy
i. newton’s second law of motion (f = m * a)
force, mass, and acceleration relationships
formulas: f = m * a; a = f / m; m = f / a
example: a 0.5 kg ball accelerated at 12 m/s² → find force.
- comparing objects with different masses
heavier objects need more force for the same acceleration.
if the same force is applied, lighter objects accelerate more.
- friction and air resistance
net force = applied force - opposing forces (friction or air resistance).
example: soccer ball with gravity 5 n downward, air resistance 3 n upward → find net force and acceleration.
ii. newton’s first law of motion (inertia)
- objects at rest / in motion stay that way
example: passengers in bumper cars keep moving forward when the cars stop suddenly.
- inertia and everyday situations
a ball rolling on a flat surface slows due to friction, not because it “runs out of force”.
heavier objects have more inertia (harder to start or stop).
iii. newton’s third law of motion (action-reaction)
- equal and opposite forces
example: pushing on a diving board → the board pushes back equally in the opposite direction.
rocket launches: gases push down, rocket goes up.
physics test review – 8th grade
newton’s second law of motion (a = f / m)
the formula for force is f = __ * ; a = / ; m = / __
if mass increases, ____ force is needed to keep the same acceleration.
if the same force is applied, the ____ (lighter/heavier) object will accelerate more.
net force = __ force - __ force (like friction or air resistance).
newton’s first law of motion (inertia)
objects at rest will stay at rest, and objects in motion will stay in motion unless ____
in bumper cars, passengers keep moving forward when the car stops suddenly because of ____
____
a ball rolling on the ground eventually stops because of ____
newton’s third law of motion (action-reaction)
for every action, there is an __ and __ reaction.
example: a rocket goes up because gases push __, __
when you push down on a diving board, the board pushes back in the ____ direction.
balanced vs. unbalanced forces
balanced forces mean there is ____ change in motion.
unbalanced forces cause an object to __, , or change __
if net force = 0, forces are __. if net force ≠ 0, forces are __
motion, speed, and graphs
the formula for speed is speed = __ ÷ __
a student runs 100 m in 12.5 seconds. speed = ____ m/s
on a motion graph: steeper slope = __ speed, flat line = __ motion
1. Newton’s Second Law of Motion ( \( F = m \times a \) ) - Force, Mass, and Acceleration Relationships
Example: A 0.5 kg ball accelerated at \( 12 \, \text{m/s}^2 \) → Find force.
Step 1: Identify the formula
We use Newton's second law formula \( F = m \times a \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration.
Step 2: Substitute the values
Given \( m = 0.5 \, \text{kg} \) and \( a = 12 \, \text{m/s}^2 \), substitute into the formula:
\( F = 0.5 \times 12 \)
Step 3: Calculate the result
\( 0.5 \times 12 = 6 \)
From Newton’s second law \( a=\frac{F}{m} \), acceleration \( a \) is inversely proportional to mass \( m \) when force \( F \) is constant. So a lighter object (smaller \( m \)) will have a larger \( a \).
Using \( F = m \times a \), if \( a \) is constant and \( m \) increases, \( F \) must increase (direct proportionality between \( F \) and \( m \) when \( a \) is constant).
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The force is \( 6 \, \text{N} \) (Newtons).