9381-NAWAI SECONDARY SCHOOL HOME BASED EDUCATIONAL

9381-NAWAI SECONDARY SCHOOL

HOME BASED EDUCATIONAL RESOURCE-EXTENDED SCHOOL CLOSURE

PHYSICS YEAR 13 WORKSHEET 2

Sub-strand: Rotational Dynamics, Simple Harmonic Motion, Sound Waves

CLO:

Apply the concept of both linear and rotational dynamics to solve problems.

Involve knowledge and understanding of phenomena, concepts, principles and

relationships related to SHM.

Appreciate the concept of superposition of two waves of slightly different frequencies

interference

Achievement Indicators:

Identify the relationship between torque and angular acceleration

Derive the equation of acceleration of the falling objects

Evaluate the tension force, torque and angular acceleration of the falling masses

Interpret the graph of acceleration versus displacement to solve problems and relate the gradient to angular velocity

Draw the Doppler Effect pattern

Solve problems using the Doppler Effect formula

Scope of Content: falling mass, tension, angular acceleration, torque, acceleration,

displacement, angular velocity, Doppler Effect.

1. The set-up below is used to determine the relationship between torque and angular acceleration. To achieve this, a flywheel was accelerated by a falling mass, m.

(a) What provides the force in the above set-up?

(1 mark)

(b) A group of students obtained the following results in this experiment.

Draw a graph of τ vs. α.

(2 marks)

(c) Determine the slope of the graph.

(1 mark)

(d) Identify the useful quantity represented by the slope of the graph.

(1 mark)

2. In the experiment on Oscillatory motion, it was discovered that the motion

of a pendulum can be modeled using the idea of Simple Harmonic Motion (SHM).

(a) Sketch a graph showing the acceleration, a, of the pendulum versus its displacement, x, from the equilibrium position.

(1 mark)

(b) Write a mathematical equation that relates acceleration and

displacement.

(1 mark)

3. In a demonstration to show the Doppler Effect, a movable wave source

(vibrator) was used in a ripple tank. A stroboscope was used to observe the wave pattern.

(a) Draw circular wave fronts in the box given to illustrate the wave pattern

observed when the source (S) is moved to the right.

(1 mark)

(b) When the source (S) is stationary the wavelength is 5 cm and the

vibrator frequency is 10 Hz. Calculate the observed wavelength in front of the source if its speed is 20 cm/s.

[𝐹𝑜𝑟𝑚𝑢𝑙𝑎: 𝑓` = (𝑣 ± 𝑣𝑜

𝑣 ∓ 𝑣𝑠)]

(2 marks)




Sub-strand: Measurement, Rotational Kinematics, Kinematics of Linear Dynamics

CLO:

Apply the skills and methods of measurement in calculating quantities and perform simple dimensional analysis to see it is dimensionally correct.

Apply the knowledge of Newton’s Second Law and appreciate the concept of rotational kinematics.

Application of Newton’s second law to appreciate the concept of linear dynamics.


Manipulate y = A Bn to from relationships

Calculate quantities from the measured data and hence present the answer to the

appropriate number of significant figures

Calculate the minimum velocity of the mass at the top of a vertical circle

Derive and calculate the maximum velocity formula for banked and unbanked curves.

Evaluate the acceleration of the system

Scope of Content: exponential graph analysis, uncertainties with exponents, vertical and

horizontal circles.

1. Two quantities p and t are related by the equation 325tp

(a) By taking the logarithm of both sides of the equation, transform it into

a linear relationship of the form cmxy .

(2 marks)

(b) If the graph of the linear relationship is drawn, what would be its

gradient and y intercept?

Gradient = _____________________

Y intercept = ___________________

(2 marks)

2. The diameter of a wire was measured using a measuring instrument and

found to be

d = 0.63 ± 0.01 mm. The wire is of uniform circular cross section.

Using the formula 4

2dA

, calculate the area of the wire.

(3 marks)

3. At what angle should a curve of radius 150 m be banked so cars can travel safely at 25 m/s without relying on friction?

(2 marks)

4. In the concept of vertical circles, if a bucket of water is spun in vertical circle,

the water does not fall if the bucket spins with a minimum speed level. Show

that this minimum speed is given by;

v = √𝒓𝒈

(2 marks)

5. In the diagram given below, blocks A and B weigh 4kg and 6kg respectively

and are connected by a light string passing over a frictionless pulley.

The coefficient of friction for each surface is 0.20.

Find the acceleration of the system.

(3 marks)




Sub-strand: Energy of SHM, Sound Wave

CLO:

Apply the concept of energy in SHM to solve related problems

Appreciate the concept of superpositio n of two waves of slightly different frequencies

interference


Use the expression for period and angular velocity of a spring and a pendulum to

solve related quantities

Appreciate that maximum amplitude is obtained at resonance

Sketch and label the harmonic formed on string and air columns

State the equation and calculate the frequency, wavelength, length and velocity for different harmonics

Scope of Content: period, resonance, graph of resonance, string fixed at both end

equations.

1. Given below is a set up on Forced oscillations and resonance used to

observe forced vibrations and resonance using masses on a string.

(a) Given the formula 𝑇 = 2𝜋 √𝑙

𝑔, calculate the period (T) of the forced

pendulum.

(1 mark) (b) Calculate the natural frequency of the forced pendulum.

(1 mark)

(c) What happens to the amplitude when the frequency of the driver

pendulum is equal to the natural frequency of the forced pendulum?

(1 mark)

(d) How will the resonant frequency change if the length of the pendulum is decreased?

(1 mark)

(e) Draw a graph of amplitude versus driving frequency, and clearly label

the natural frequency of the forced pendulum.

(2 marks)

2. The diagram below shows the set-up to study Forced vibrations of strings.

The first resonant wave is formed when the length of the string is l.

(a) Sketch the first harmonic of the wave form, labelling the nodes and antinodes.

(2 marks)

(b) When l = 80 cm the vibration of the string is first harmonic. Calculate the wavelength of the first harmonic vibration of the string.

(1 mark)

(c) Theoretical velocity of the transverse wave in the string is given by

𝑣 = √𝑇

𝜇 . Given the tension in the string is 10 N and mass per unit length

is 12 gm-1 , calculate the theoretical velocity of the wave in the string.

(2 marks)

Year 13 Physics 2021

Worksheet 3

Write the answers in your Exercise Book.

1. A 1.5 kg object at the end of a 0.5 m length of string is rotating in a

horizontal circle as shown below.

The object completes 10 revolutions in 20 s.

(a) Calculate the period of the object’s rotation. (1 mark)

(b) Calculate the radius of the circle described by the 1.5 kg mass. (1 mark)

(c) What is the linear speed of the object? (1 mark)

(d) Determine the angular velocity of the object. (1 mark)

(e) Find the tension in the string. (2 marks)

2. A 5 kg hanging mass is connected by a string over a pulley to a 8 kg mass

as shown below. The system is then released.

If the coefficient of kinetic friction is 0.25, calculate

(a) the acceleration of the masses. (3 marks)

(b) the tension in the string. (2 marks)

3. A mass of 0.3 kg at the end of a 25 cm long string is swung in a vertical

circular path. The angular speed at the top of the path is 12 1

srad

.

Find the tension in the string at the top of the circular path. (2 marks)

Year 13 Physics 2021

Worksheet 4


1. A 100 kg satellite orbits 600 km above the surface of the earth.

The mass M of the earth is 5.98 1024

kg ,G = 6.67 10-11

Nm2 kg

-2 and

radius of earth is 6.37 106 m.

Calculate the following energy of the satellite:

(a) gravitational potential energy. (1 mark)

(b) kinetic energy (1 mark)

(c) total energy (1 mark)

2. The spinner of a washing machine turning at

1srad10

and increasing to

1

srad30

makes 40 revolutions.

Find the:

(a) total angle turned through in radians. (1 mark)

(b) angular acceleration. (2 marks)

(c) time taken to turn through the 40 revolutions. (1 mark)

3. A flywheel of moment of inertia 2

mkg2.0 rotates with an angular speed

of 1

srad40

Find the torque required to bring the wheel uniformly to rest in 10s. (2 marks)

Worksheet 5

Year 13 Physics


The following diagram shows the experimental set-up to investigate the

Extension of Idea of Kinetic Energy.

(a) Explain the motion of the cylinder. (1 mark)

Use the information below to answer parts (b) – (e)

Determine the

(b) change in potential energy of 0.1 kg mass . (1 mark)

(c) linear kinetic energy gained by the cylinder and the hanging mass.

( mass of cylinder = 0.7 kg) (1 mark)

(d) rotational kinetic energy of the cylinder. (1 mark)

(e) inertia of the cylinder. (radius of cylinder = 7 cm) (1 mark)

When the 0.1 kg mass falls through a height of 0.6 m,

the cylinder has a speed of 1 m/s.

0.1 kg

Worksheet 6

Year 13 Physics


1. A student measured the length of side of a square as 1.00.5 cm

1.00.5 cm

1.00.5 cm

(a) What is the percentage error in the measurement? (1 mark)

(b) Calculate the area of the square with its associated uncertainty. (1 mark)

2. In the experiment on ‘Gravitational field’, the following set-up was used.

(a) Write an aim for the experiment. (1 mark)

(b) Highlight the key points of the procedure to conduct this experiment. (3 marks)

(c) Describe how to determine the acceleration from the ticker time tape. (1 mark)

Worksheet 7

Year 13 Physics


In an experiment carried out by some Year 13 Physics students, the following

were the results obtained in measuring the dimensions of a thin piece of glass.

Length, l = 10.0 ± 0.1 cm

Width, w = 4.0 ± 0.1 cm

Height, h = 5.0 ± 0.1 mm

Mass, m = 4.00 ± 0.01 g

1. What is the height h of the glass in centimetres, including its uncertainty? (1 mark)

2. Find l + w + h (1 mark)

3. Calculate the percentage error in each of the following measurements:

(a) Length (1 mark)

(b) Width (1 mark)

(c) Height (1 mark)

(d) Mass (1 mark)

4. Determine the volume of the glass in cm3

(2 marks)

5. Calculate the density of the glass in g/cm3

(2 marks)

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