PHYSICS WORKBOOK-I FOR 11TH GRADE IBDP STUDENTS

190 Pages·3.972 MB·English

by  TED ANKARA COLLEGE FOUNDATION HIGH SCHOOL PHYSICS DEPARTMENT

TED ANKARA COLLEGE FOUNDATION HIGH SCHOOL
PHYSICS DEPARTMENT

PHYSICS WORKBOOK-I

FOR 11TH GRADE IBDP STUDENTS

| TE D An k a ra Co llege Fo u n d a t io n H igh Sch o o l Ph y s ics Dep a rt men t

20 20-2021 ACADEMIC YEAR
CONTENT

1. Measurement and uncertainty 2
Uncertainty exercise 3
Error propagation exercise 4
Graph straightening exercise 5
Using graph exercise 7
Graphing rules 13
Data analysis exercise 18
Measurement and uncertainty exercise 20
Analysis of an experiment 39
Guidelines for Physics individual investigation 41
Individual investigation criteria 46
2. Vectors/Force-Moment and equilibrium/Center of gravity 48
3. Uniform linear motion 78
4. Relative motion 98
5. Newton’s laws of motion 104
6. Motion near earth surface 124
7. Work, energy and power 144
8. Impulse and momentum 168

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MEASUREMENT AND UNCERTAINTY

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UNCERTAINTY EXERCISE

A student is asked to determine the density of a piece of metal in the form of cylinder.

d measurement magnitude uncertainty
d 3.15 cm ±0.01 cm
h 12.6 cm ±0.1 cm
h
mass 266 g ±0.002 cm

(a) Determine the percentage uncertainty in h.

(b) Determine the percentage uncertainty in mass.

(c) Determine the percentage uncertainty in d.

(b) Calculate the density of the cylinder and its absolute uncertainty.

Density: __________________ ± ___________ _________
Uncertainty unit

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ERROR PROPOGATION EXERCISE

1. Five people measure the mass of an object. The results are 0.56g, 0.58g, 0.58g, 0.55g, 0.59g.
How would you report the measured value for the object’s mass?

2. Juan measured 8 floor tiles to be 2.67±0.03m long. What is the length of one floor tile?

3. The first part of a trip took 25 ± 3s, and the second part of the trip took 17 ± 2s.
a. How long did the whole trip take?

b. How much longer was the first part of the trip than the second part?

4. The sides of a rectangle are measured to be 4.4±0.2cm and 8.5±0.3cm. Find the area of the
rectangle.

5. A car traveled 600 ± 12m in 32 ± 3 s. What was the speed of the car?

6. The radius of a circle is measured to be 2.4±0.1cm. What is the area of the circle?

7. The time (t) it takes an object to fall freely from rest a distance (d) is given by the formula:
2𝑑
𝑡 = √ , where g is the acceleration due to gravity. A ball fell 12.5 m ± 0.3 m. How long did this take?
𝑔

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GRAPH STRAIGHTENING EXERCISE

Use the information provided to determine to determine what to plot to “straighten the line”
for each of the following equations and then to give meaning of the slope of the straight
line.
d
1. d= 𝑣×𝑡 d Slope= ______________
t

t

2. d = 𝑣2 d d
2𝑎 Slope= ______________
t

v

3. F = 4𝜋2𝑚𝑟𝑓2 F F Slope= ______________
t

f

A A Slope= ______________
4. A = 6𝐼2
t

I

V V

t Slope= ______________
4𝜋𝑅3
5. V =
3

R

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𝑄2 F F Slope= ______________
6. F= 𝑘
𝑑2
t

Q

𝑄 E E Slope= ______________
7. E =𝑘
𝑑2
t

d

8. 𝐹 = 𝐺𝑀.𝑚 F F Slope= ______________
𝑅2
t

R

9. 𝑎 = 𝑣2 a a Slope= ______________
2𝑑
t

d

E E Slope= ______________
10. 𝐸 = 1𝑚𝑣2
2 t

v

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USING GRAPH EXERCISE

Activity 1: Determine the slope of the line in the following graphs and indicate the units on
the slope.

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Activity 2: In each question, a data set, the graph of data set and an explanation for the
relation among the data set are presented below. One of these representations is not like
the others. Choose the one that doesn't belong in each question.
Which one

Representation 1 Representation 2 Representation 3 doesn’t

belong?

The relationship
1 between x and y is
linear

The relationship
2 between x and y is
linear

As the value of x is
3 doubled, the value of y
is halved

As the value of x is
4 doubled, the value of y
is doubled

As the value of x is
5 doubled, the value of y
stays the same

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Which one
Representation 1 Representation 2 Representation 3 doesn’t
belong?

As the value of x is
6 doubled, the value of y
stays the same

As the value of x is
7 doubled, the value of y
is doubled

The relationship
8 between x and y is
linear

As the value of x is
9 doubled, the value of y
is doubled

As the value of x is
10 doubled, the value of y
is quadrupled
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