PROBLEM SOLVING

1. L1-General Physics
PrinceD
COURAGEOUS INVIGORATOR ALTRUISTIC SMART

2. 07/05/2025
CHALLENGE OF THE DAY
PrinceD
A student measure the mass and
volume of a substance and calculates
its density as 1.40g/ml. The correct, or
accepted, value of the density is 1.30
g/ml. what is the percentage error of
the students

3. 07/05/2025
CHALLENGE OF THE DAY
PrinceD
x 100%= 7.7%

4. 07/05/2025
CHALLENGE OF THE DAY
PrinceD
In one of your science activities, you are
required to grow a crystal and measure its
length every day in 10 days. The data you
recorded are the following: 3 mm, 4 mm, 5
mm, 6 mm, 7 mm, 10 mm,11 mm, 12 mm,
13 mm, and 13 mm. Calculate the standard
deviation of the length of the crystal.
Express your final answer in 3 significant
figures.

5. 07/05/2025
CHALLENGE OF THE DAY
PrinceD
Then, find the difference between each reading
and the average.
‒5.4 ‒4.4 ‒3.4 ‒2.4 ‒1.4 1.6 2.6 3.6 4.6 4.6
Get the square of each difference.
29.16 19.36 11.56 5.76 1.96 2.56 6.76 12.96 21.16 21.16
Add all the squares of the difference and divide it by n-1.

6. board work-L2
L2-General Physics
PrinceD
Then, find the difference between each reading and the average.
‒5.4 ‒4.4 ‒3.4 ‒2.4 ‒1.4 1.6 2.6 3.6 4.6 4.6
Get the square of each difference.
29.16 19.36 11.56 5.76 1.96 2.56 6.76 12.96 21.16 21.16
Add all the squares of the difference and divide it by n-1.

7. L2-General Physics
PrinceD
A student measure the mass and volume of
a substance and calculates its density as
1.40g/ml. The correct, or accepted, value of
the density is 1.30 g/ml. what is the
percentage error of the students

8. board work-L2
L2-General Physics
PrinceD
x 100%= 7.7%

9. board work-L2
L2-General Physics
PrinceD
A student measure the mass and volume of
a substance and calculates its density as
12.10g/ml. The correct, or accepted, value of
the density is 8.30 g/ml. what is the
percentage error of the students

10. board work-L2
L2-General Physics
PrinceD
The mass of a sample of steel was measured
three times in a digital balance. Its average
mass is 1.117 g. The first trial reads 1.125 g,
while the second trial acquired 1.067 g. What
is the mass of the steel in the third trial?
GROUP 1

11. board work-L2
L2-General Physics
PrinceD
Five students measured their heights and
recorded them in their worksheets. The
readings are as follows: 1.50 m, 5.00 ft, 165
cm, 1.70 m, and 154 cm. What is the average
height of the five students in meters?
GROUP 2

12. board work-L2
L2-General Physics
PrinceD
Consider the two data sets of readings in one of your
laboratory activities. Which of the following sets has a
larger standard deviation?
Set A: 9 g, 11 g, 5 g, 7 g, and 13 g
Set B: 11 g, 10 g, 19 g, 19 g, and 11 g
GROUP 3

13. board work-L2
L2-General Physics
PrinceD
Different people were made to accurately
measure the length of the hall. The set of readings
is as follows: 26 m, 0.028 km, 27.5 m, 29 m, 31 m,
0.033 km, and 2 650 cm. What is the standard
deviation of this set of values in m?
GROUP 4

14. board work-L2
L2-General Physics
PrinceD
The mass of a sample of steel was measured
three times in a digital balance. Its average
mass is 1.117 g. The first trial reads 1.125 g,
while the second trial acquired 1.067 g. What
is the mass of the steel in the third trial?

15. board work-L2
L2-General Physics
PrinceD
Therefore, the mass of steel in the third trial is 1.159 g.

16. board work-L2
L2-General Physics
PrinceD
Five students measured their heights and
recorded them in their worksheets. The
readings are as follows: 1.50 m, 5.00 ft, 165
cm, 1.70 m, and 154 cm. What is the average
height of the five students in meters?

17. board work-L2
L2-General Physics
PrinceD
Therefore, the average height of the five students is 1.58 m.

18. board work-L2
L2-General Physics
PrinceD
Consider the two data sets of readings in one of your
laboratory activities. Which of the following sets has a
larger standard deviation?
Set A: 9 g, 11 g, 5 g, 7 g, and 13 g
Set B: 11 g, 10 g, 19 g, 19 g, and 11 g

19. board work-L2
L2-General Physics
PrinceD
Then, find the difference between each reading and the average.
For Set A: i.e. 0 2 ‒4 ‒2 4
For Set B: i.e. ‒3 ‒4 5 5 ‒3

20. board work-L2
L2-General Physics
PrinceD
Get the square of each difference.
For Set A: i.e. 0 4 16 4 16
For Set B: i.e. 9 16 25 25 9
The standard deviation for Set A is
3.16 g, and 4.58 g for Set B.
Set B has a larger standard
deviation than Set A.

21. board work-L2
L2-General Physics
PrinceD
Different people were made to accurately
measure the length of the hall. The set of readings
is as follows: 26 m, 0.028 km, 27.5 m, 29 m, 31 m,
0.033 km, and 2 650 cm. What is the standard
deviation of this set of values in m?

22. board work-L2
L2-General Physics
PrinceD
Before proceeding to the calculations,
convert first all the lengths in meters.
Then, find the difference between each reading and the average.
‒2.71 ‒0.71 ‒1.21 0.29 2.29 4.29 ‒2.21
Get the square of each difference.
7.3441 0.5041 1.4641 0.0841 5.2441 18.4041 4.8841