* Audrey moved a 12kg box at an acceleration of 5m/s^2 * Using the formula Force = Mass x Acceleration * Mass of the box is 12kg * Acceleration is 5m/s^2 * Therefore, Force = Mass x Acceleration = 12kg x 5m/s^2 = 60N The amount of force required to move the 12kg box at a rate of 5m/s^2 is 60N.

1. Newton’s Second Law of Motion
8th Science

2. Force = Mass x Acceleration (F=ma)
• AKA: the “Law of Force and Acceleration”
• Newton’s second law states that the amount
of force is equal to an objects mass times its
acceleration.
• The acceleration of an object is directly
proportional to the net force & indirectly
proportional to its’ mass.

3. Getting Started
• First, you need to know the units of Force,
Mass & Acceleration.
– The units used for force are Newtons (N)
– The units used for mass are kilograms (kg)
– The acceleration units are meters per second
squared (m/sec2).

4. Acceleration
• Is a change in velocity
– Speeding up
• Positive acceleration
– Slowing down
• Negative acceleration
• Deceleration
– Changing direction
• unbalanced forces cause objects to
accelerate.

5. Acceleration
• Acceleration is directly related to the size of
the force and the direction of the force.
• It accelerates in the direction you push or pull
it.

6. In other words….
Large Force = Large Acceleration
F
a

7. In other words….
Small Force = Small Acceleration
F
a
So….if you push twice as hard, it accelerates twice as much.

8. But there is a twist….
• Acceleration is INVERSELY related to the mass
of the object.

9. In other words…..using the same
amount of force….
F
Small acceleration
Large Mass a
F
Small Mass
Large acceleration
a

10. Calculating Acceleration
• Acceleration Equation
Acceleration =
(final speed (in m/s) – initial speed (in m/s))
Time (in seconds)
A=
(sf-si)
t

11. Calculating Speed
• Comparison of time and distance
– Distance traveled per unit time
– Speed = distance ÷ time

12. Calculating Speed
Given Distance & Time
D
S T
Speed =
Distance
Time
Speed = Distance ÷ Time

13. Let’s Practice
• Riley chucks a water balloon at a big, mean
looking guy at the park. Running for his life,
he travels 100m in 9.83s. What was his
average speed?
S= Distance/time
S= d/t
S= 100m/9.83s
S=10.17 mps (meters per second)

14. Calculating Distance
Given Speed & Time
D
S T
Distance = Speed • Time
Multiply Speed and Time
Distance = Speed X Time
Speed X Time = Distance

15. Let’s Practice
1. If you ran 15 km/h for 20 min, how much
distance would you cover?
Distance = Speed x time
D=ST
D=15 km/h x (20 min/60)
D =

16. Calculating Time
Given Distance and Speed
D
S T
Time =
Distance
Speed
Divide Distance by Time
Distance ÷ Speed = Time
Time = Distance ÷ Speed

17. Let’s Practice
• Marcy doesn't want to be late for class so
she rushes to McDonald’s at lunch. How
much time would it take Marcy to walk 2 km
to McDonalds for a Big Mac if she walked at
a rate of 4.5 km/h?
Time = distance/speed
T=DS
T = 2km / 4.5 km/h
T= .44 hours or 26.4 minutes

18. Calculating Acceleration
• Acceleration Equation
Acceleration =
(final speed (in m/s) – initial speed (in m/s))
Time (in seconds)
A=
(sf-si)
t
Oh… I get it now!

19. Let’s practice…
• Rob is really bored one Saturday night and
goes outside to study the nocturnal habits of
mice in the hayfield. He sees a mouse
sniffing along at 0.1 m/s. but it hears and
starts to scurry for safety. In just 3.7 s it
accelerates to 0.9 m/s. Find its acceleration.

20. Let’s Practice
Acceleration =
(final speed (in m/s) – initial speed (in m/s))
Time (in seconds)
A=
(sf-si)
t
A= 0.9m/s – 0.1 m/s
3.7s
A= 0.8m/s
3.7s
A= 0.22 m/s2

21. Let’s Practice
• A roach moves down the hall at 1.2 m/s.
When he sees the janitor coming down the
hall, he begins to run. After 3.2 s, he is
moving at 3.6 m/s. What is his acceleration?

22. Calculating Force
Given Mass and Acceleration
F
M A
Force = Mass x Acceleration
Multiply Mass and Acceleration
Force = Mass x Acceleration
Mass x Acceleration = Force

23. Let’s Practice
• While showing off for some girls at the skate
park, Josh D crashes. Josh has a mass of 68
kilograms and an acceleration of 2m/s2 what
is Force of Joshes fall?
• F=ma
• F= 68Kg x 2m/s2
• F= 136N

24. Calculating Mass
Given Force and Acceleration
F
M A
Mass = Force ÷ Acceleration
Divide Force by Acceleration
Mass = Force ÷ Acceleration
Force ÷ Acceleration = Mass

25. Let’s Practice
• Colin skateboards down the sidewalk in front
of the school, he pushes of with a force of
16N and accelerates at a rate of 4m/s2. What
is Colin’s mass?
• M = F ÷ A
• M = 16N ÷ 4m/s2
• M = 4Kg

26. Calculating Acceleration
Given Force and Mass
F
M A
Acceleration = Force ÷ Mass
Divide Force and Mass
Acceleration = Force ÷ Mass
Force ÷ Mass = Acceleration

27. Let’s Practice
• Jenna dove off the diving board at camp
with a force of 36N. Jenna’s mass is 6Kg.
What is her rate of acceleration?
• A = F ÷ M
• A = 36N ÷ 6Kg
• A = 6m/s2

28. Product:
• Audrey moved into a new home on Friday.
While moving boxes, she attempted to
calculate the amount of force required. The
final 12Kg box was moved at a rate of 5m/s2.
What amount of force was required to move
the box?