The document discusses Newton's laws of motion and the law of acceleration. It provides definitions of key terms like motion, acceleration, force, mass, weight, and inertia. It explains that acceleration is directly proportional to force and inversely proportional to mass. Examples are given demonstrating that if force is doubled acceleration doubles, and if mass doubles and force stays the same, acceleration halves. The document includes activities for students to investigate relationships between force, mass and acceleration.

1. LAW
OF
ACCELERATION

2. LET’S ACCOMPLISH THESE TOGETHER:
Investigate the relationship between the amount of force applied
and the mass of the object to the amount of change in the
object’s motion;
Cite applications of the law of acceleration in real-life situations;
Perform an experiment demonstrating the law of acceleration in
different scenarios;
Relate the law of acceleration to procrastination.

3. • Content Standard: The learners demonstrate an
understanding of Newton’s three laws of motion and
uniform circular motion.
• Performance Standard: The learners shall be able to
develop a written plan and implement a “Newton’s
Olympics”.
• Most Essential Learning Competency: Investigate the
relationship between the amount of force applied and
the mass of the object to the amount of change in the
object’s motion.

4. In the activity, the ball will not merely move by itself. If someone
pushes the ball, it will move or it will roll across the surface of
the table in the direction you push it. If you push it harder, it
moves faster. Force can be described in terms of what it does. It
can make object move, move faster, stop or change direction of
motion. Hence, a force can produce a change in velocity (and
causes an object to accelerate).
You learned that when the velocity of a moving body changes,
we describe the motion as one with acceleration. This means
that a body accelerates whenever there is a change in speed;
change in direction, or a change in both the speed and
direction.

5. TERMINOLOGIES OF THE DAY

6. MOTION
generally refers to a change in the position of an object. You can determine the
motion of an object through the distance travelled, the time interval to reach the
distance, and the speed.

7. ACCELERATION
is the rate at which an object’s speed (or direction) changes per unit time.

8. FORCE
is a push or pull upon an object resulting from the object’s interaction
with another object.

9. MASS
is the quantity of matter a body
contains.

10. WEIGHT
is the force on a body due to gravity.

11. INERTIA
is the property of a body that tends to resist a change in its state of
motion.

12. DIRECTLY PROPORTIONAL
as one amount increases, another amount
increases at the same rate.

13. INVERSELY PROPORTIONAL
when one value decreases at the same rate that the other
increases.

14. WHOSE SIDE ARE YOU?

15. The illustration below shows two person setting on the swing, person 1 with a mass
of 36 kg and person 2 with a mass of 65 kg. Vince, Bea and Andrei were arguing
about the acceleration of the two person on the swing. To whom statement you
agree with and why?

16. WHICH ONE HAS GREATER
ACCELERATION?

17. SITUATION 1 SITUATION 2

19. LET’S FIND OUT…

21. Your turn to demonstrate it…

23. The first part of the activity tells us that the greater the unbalanced
force, the greater the acceleration of the body being acted upon.
Thus if we push on a car with a certain force F1 and at another time
push it twice as hard, it will have acceleration twice that as the first
If the net acting on an object is constant, its velocity changes at a
constant rate over time. Hence, it is considered to be moving with
constant acceleration. But if the force acting on the object is changed,
its acceleration will also change.

24. When the net force is doubled, acceleration is also doubled. When
it is tripled, acceleration is also tripled. We can therefore say that at
constant mass, the acceleration of an object is directly proportional
to the magnitude of the unbalanced force F acting on it. The
relationship between Net force and acceleration can be
summarized as follows:
For a constant mass, acceleration is directly proportional to the
applied force.
Similarly, when the force was kept constant, doubling the mass of
the cart (by adding an equal load) decreased the acceleration to
about half its first value.

25. The second part of the activity tell us the effect of the mass
of an object to the acceleration produced when a force acts
on it. The greater the mass of an object, the greater the
amount of matter has to be accelerated. Hence the applied
force will have less effect. If a given force acts on two
different objects, the acceleration of an object with greater
mass will be less than the acceleration of another object
with a smaller mass. Thus we say that the acceleration of
an object is inversely proportional to its mass.

26. The force is equal to the product of
the mass and the acceleration. If the
force applied on a mass is doubled,
the acceleration is also doubled but if
the mass is doubled and the amount
of force remains the same, the
acceleration is reduced to ½.

27. Law of acceleration
“The acceleration of an object is
directly proportional to the magnitude
of the net force acting on it and is
inversely proportional to its mass.”

28. RELATE THESE PICTURES TO
LAW OF ACCELERATION.

34. TIME TO WORK IN GROUPS! (6
minutes)

36. ANSWER THE FOLLOWING
QUESTIONS

37. 1. Law of acceleration tells us the effect of mass of an
object to the acceleration. When the force applied is
constant, what is the relationship of mass and
acceleration?
a. Equal c. in the same direction
b. Directly proportional d. inversely proportional

38. 2. Suppose a cart is being moved by a force. If
suddenly a load is dumped into the cart so that the
cart’s mass doubles, what happens to the cart’s
acceleration?
a. It doubles b. it halves c. it quadruples d. it quarters

39. 3. If you want to accelerate a bigger mass, what are you
going to do?
a. Apply a bigger force c. Apply a force equal to the mass
b. Apply a lesser force d. Apply unequal force

40. 4. How does the force on a moving object affect its
acceleration when the mass remains the same?
a. For the same amount of load, the greater the force
exerted, the greater is the acceleration.
b. For the same amount of load, the greater the force
exerted, the lesser is the acceleration.
c. For the same amount of load, the lesser the force
exerted, the greater is the acceleration.
d. For the same amount of load, the force applied will have
less effect on acceleration.

41. 5. If a given force acts on two different objects, the
acceleration of an object with a greater mass will be
___________
a. greater than the acceleration of another object with a
smaller mass.
b. less than the acceleration of another object with a
smaller mass.
c. equal to another object with a smaller mass.
d. unrelated

42. 1. D
2. B
3. A
4. A
5. B

43. LET’S REFLECT!