Podcast
Questions and Answers
What is the formula for calculating the surface area of a sphere?
What is the formula for calculating the surface area of a sphere?
- 4πr² (correct)
- 2πr²
- 4/3πr³
- πr²
Which constant represents the speed of light in free space?
Which constant represents the speed of light in free space?
- 1.67 × 10−27 m s−1
- 9.81 m s−2
- 6.02 × 10^23 mol−1
- 3.00 × 10^8 m s−1 (correct)
What does the symbol 'h' represent in physics?
What does the symbol 'h' represent in physics?
- Mass of a proton
- Acceleration due to gravity
- Planck constant (correct)
- Elementary charge
In the equation $P = VI$, what does 'P' represent?
In the equation $P = VI$, what does 'P' represent?
What is the formula for volume of a sphere?
What is the formula for volume of a sphere?
According to the equation $v^2 = u^2 + 2as$, which variable represents the initial velocity?
According to the equation $v^2 = u^2 + 2as$, which variable represents the initial velocity?
Estimate the number of rotations a car tyre makes during its lifetime if it typically lasts 40,000 km.
Estimate the number of rotations a car tyre makes during its lifetime if it typically lasts 40,000 km.
Which graph best represents the pressure as a function of depth in wine vats?
Which graph best represents the pressure as a function of depth in wine vats?
Given a steady sound of 165 Hz received 157 m away, by what fraction of a cycle in degrees is the signal out of phase?
Given a steady sound of 165 Hz received 157 m away, by what fraction of a cycle in degrees is the signal out of phase?
How do the final velocities of two balls, thrown upward and downward from a cliff at the same speed, compare as they hit the sea?
How do the final velocities of two balls, thrown upward and downward from a cliff at the same speed, compare as they hit the sea?
In the given scenario of a spinning and translating uniform rod, which statement is true regarding the velocities of the ends at a particular moment?
In the given scenario of a spinning and translating uniform rod, which statement is true regarding the velocities of the ends at a particular moment?
If two balls are thrown from a cliff, one upward and one downward, which of the following is NOT a condition affecting their final velocities?
If two balls are thrown from a cliff, one upward and one downward, which of the following is NOT a condition affecting their final velocities?
Quantify the phase difference in degrees if the sound travels 157 m at a frequency of 165 Hz, using the speed of sound as 330 m/s.
Quantify the phase difference in degrees if the sound travels 157 m at a frequency of 165 Hz, using the speed of sound as 330 m/s.
Which statement accurately reflects the motion of the uniform rod featuring both translation and rotation?
Which statement accurately reflects the motion of the uniform rod featuring both translation and rotation?
What is the primary factor that determines the velocity of the rod's end when it is observed to rotate?
What is the primary factor that determines the velocity of the rod's end when it is observed to rotate?
When a force F is applied to straighten a hanging cable, what happens to the center of mass?
When a force F is applied to straighten a hanging cable, what happens to the center of mass?
What type of motion does the rod exhibit as it moves downward on the wedge, given that the force remains constant?
What type of motion does the rod exhibit as it moves downward on the wedge, given that the force remains constant?
When analyzing the motion of the wedge, what can be inferred about the relationship between the speeds u and v?
When analyzing the motion of the wedge, what can be inferred about the relationship between the speeds u and v?
In the energy equation for the system involving the rod and wedge, which variable does NOT directly affect the potential energy at height h?
In the energy equation for the system involving the rod and wedge, which variable does NOT directly affect the potential energy at height h?
What is the main effect of the wedge's acceleration to the right on the rod's motion?
What is the main effect of the wedge's acceleration to the right on the rod's motion?
If the rod descends through height h while remaining in contact with the wedge, what physical principle primarily governs its movement?
If the rod descends through height h while remaining in contact with the wedge, what physical principle primarily governs its movement?
What happens to the tension in the cable when the force F is applied to straighten it?
What happens to the tension in the cable when the force F is applied to straighten it?
Which factor directly influences the rotational frequency of the rod as observed over time?
Which factor directly influences the rotational frequency of the rod as observed over time?
What can be inferred about the gravitational potential energy (GPE) relationship when a rod of mass m1 falls on a wedge with mass m2, both being equal, at an angle of 30°?
What can be inferred about the gravitational potential energy (GPE) relationship when a rod of mass m1 falls on a wedge with mass m2, both being equal, at an angle of 30°?
If a bulldozer's driving wheel has a diameter of 1.0 m and rotates once every 0.84 s, what is the speed of mud stuck to the track relative to an observer at rest?
If a bulldozer's driving wheel has a diameter of 1.0 m and rotates once every 0.84 s, what is the speed of mud stuck to the track relative to an observer at rest?
What is the internal resistance of a dc power supply if its terminal voltage drops from 5.00 V to 4.90 V when a 2.00 Ω resistor is connected?
What is the internal resistance of a dc power supply if its terminal voltage drops from 5.00 V to 4.90 V when a 2.00 Ω resistor is connected?
When the load resistor connected to a dc power supply is changed from 2.00 Ω to 0.400 Ω, what effect will this have on the terminal voltage?
When the load resistor connected to a dc power supply is changed from 2.00 Ω to 0.400 Ω, what effect will this have on the terminal voltage?
What is the obtuse angle between beams AB and BC in a system resting on a smooth sphere when the beams have lengths â„“, 2â„“, and are arranged uniformly?
What is the obtuse angle between beams AB and BC in a system resting on a smooth sphere when the beams have lengths â„“, 2â„“, and are arranged uniformly?
In a circuit with a constant current device that operates at 0.40 mA, how does the voltage influence the current supplied to the device?
In a circuit with a constant current device that operates at 0.40 mA, how does the voltage influence the current supplied to the device?
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Study Notes
Physics Challenge Exam
- Senior Physics challenge exam for year 12 students
- Exam duration is 1 hour
- Total marks are 50
- Calculators are allowed, but they must not have symbolic algebra capability.
- Students may use any public examination formula booklet.
Question 1
- A car tyre lasts typically 40 000 km.
- Estimate the number of rotations it makes during its lifetime
Question 2
- Wine is produced in large vats shaped like the one illustrated in Figure 1.
- Which graph represents the most suitable pressure as a function of depth?
Question 3
- A steady sound of 165 Hz is produced by a loudspeaker.
- The sound is received 157 m away from the loudspeaker.
- The speed of sound in air is 330 m s−1.
- By what fraction of a cycle (measured in degrees from 0 to 360â—¦ ) is the received signal out of phase?
Question 4
- A girl standing on a cliff throws two balls, one up and one down, at the same speed.
- How do the final velocities of each compare as they hit the sea?
Question 5
- A uniform straight rod of length 34 cm lies on a smooth horizontal surface.
- It is seen to be spinning round whilst also moving across the surface.
- At one particular moment in time, the velocities of the ends of the rod are normal to the rod and have values, 2.6 m s−1 and 4.2 m s−1.
- A cable of mass m hangs from two fixed points A and B and forms a smooth curve
- In (b), force F is applied to the centre of the cable in order to straighten it.
Question 6
- A rod of mass m1 is constrained to move vertically by a pair of guides.
- It is in contact with a smooth wedge of mass m2 and angle θ, which itself sits on a smooth horizontal surface.
- At time t = 0 the rod is released and moves downwards, whilst the wedge accelerates to the right.
Question 7
- A bulldozer runs on a continuous track.
- The driving wheel at the front has a diameter of 1.0 m and rotates once in 0.84 s.
- A person standing at the side of the bulldozer sees a large piece of mud stuck to the top side of the moving track (at about 1 m above the ground).
- What speed relative to the person is the mud moving past them?
Question 8
- Three uniform beams AB, BC and CD, of the same thickness and of lengths â„“, 2â„“ and â„“ respectively, are connected by smooth hinges at B and C.
- They rest on a perfectly smooth sphere of radius 2â„“ so that the middle point of BC and the extremities, A and D are in contact with the sphere.
- Sketch a diagram of the beams and sphere.
- Calculate the obtuse angle between beams AB and BC.
Question 9
- The terminal voltage of a dc power supply is measured as 5.00 V when it is on open circuit.
- A 2.00 Ω resistor is connected across the terminals and the voltage drops by 0.100 V.
- Some electronic devices are designed to take a constant current.
Question 10
- A spherical shaped party balloon can be filled by blowing air into it.
- It is difficult to start the balloon expanding, but it becomes easier once the rubber has stretched a little.
- It is easier to inflate the balloon a second time.
- This behaviour is illustrated by the graph of Fig. 9 and is described by the equation:
Pin − Pout = 2C (1 − (r0/r)^6)- where Pin is the pressure inside the balloon, Pout is the external atmospheric pressure, r0 is the uninflated radius of the balloon, r is the radius of the balloon, and C is a constant.
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