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physics test review outline - 8th grade hard copy i. newton’s second la…

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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.

  1. comparing objects with different masses

heavier objects need more force for the same acceleration.
if the same force is applied, lighter objects accelerate more.

  1. 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)

  1. objects at rest / in motion stay that way

example: passengers in bumper cars keep moving forward when the cars stop suddenly.

  1. 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)

  1. 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

Explanation:

Response
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

\( 0.5 \times 12 = 6 \)

Brief Explanations

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 \( a \).

Brief Explanations

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).

Answer:

The force is \( 6 \, \text{N} \) (Newtons).

2. Comparing Objects with Different Masses
a. If the same force is applied, the ______ (lighter/heavier) object will accelerate more.