Intermediate Physics Challenge 2023

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Questions and Answers

What equation correctly represents the relationship between wave speed, frequency, and wavelength?

  • Wave speed = wavelength - frequency
  • Wave speed = frequency × wavelength (correct)
  • Wave speed = frequency ÷ wavelength
  • Wave speed = frequency + wavelength

Which of the following is the correct equation for calculating gravitational potential energy?

  • Gravitational potential energy = mass + gravitational field strength × height
  • Gravitational potential energy = mass × (gravitational field strength + height)
  • Gravitational potential energy = mass × gravitational field strength × height (correct)
  • Gravitational potential energy = mass ÷ height × gravitational field strength

What is the value of gravitational field strength on Earth, represented by g?

  • 9.8 kg/N
  • 9.8 N/kg (correct)
  • 9.8 J/kg
  • 10 N/kg

For an ideal gas at a constant temperature, what is the equation that describes the relationship between pressure and volume?

<p>Pressure × Volume = constant (D)</p> Signup and view all the answers

According to the density equation, how do you calculate density?

<p>Density = mass ÷ volume (D)</p> Signup and view all the answers

What does the equation for kinetic energy represent?

<p>Kinetic energy = ½ mass × velocity (D)</p> Signup and view all the answers

What is the total potential energy stored by the gravity battery when the mass is raised for a distance of 300 m?

<p>3.6 kWh (C)</p> Signup and view all the answers

At a discharge rate of 800 kW, what is the approximate speed at which the mass must descend to maintain this output given the efficiency of the generators?

<p>4.47 m/s (D)</p> Signup and view all the answers

How long can the gravity battery maintain an output of 800 kW with an efficiency of 94%?

<p>3.6 hours (B)</p> Signup and view all the answers

If the mass were to descend a distance of 150 m instead, how much energy would it provide at the same rate?

<p>0.53 kWh (C)</p> Signup and view all the answers

Considering eight cables support the mass, what factor does this have on the overall potential energy if each cable independently supports the weight?

<p>It has no effect on the potential energy (C)</p> Signup and view all the answers

Which of the following assumptions about the energy transfer process can be considered accurate for this gravity battery system?

<p>Friction from the cables can be neglected (B)</p> Signup and view all the answers

How much work is done by a cyclist to increase their speed from 2.0 m/s to 6.0 m/s given a total mass of 95 kg, ignoring air resistance and friction?

<p>760 J (C)</p> Signup and view all the answers

What is the correct relationship between displacement from the start line and time for a runner starting at a speed of 1 m/s and accelerating at 2 m/s² for 2 seconds?

<p>Parabolic increase in displacement (D)</p> Signup and view all the answers

Which graph correctly represents the resistance of a thermistor against current through it, considering that the resistance decreases with an increase in temperature?

<p>Linear decrease (B)</p> Signup and view all the answers

What happens to the wavelength and frequency of water waves when they travel from deeper to shallower water?

<p>Wavelength decreases and frequency remains the same (B)</p> Signup and view all the answers

How much electrical energy does an electric kettle rated at 2.5 kW consume to boil 1.25 L of water in just under 3 minutes?

<p>225 kJ (B)</p> Signup and view all the answers

If a cyclist accelerates from rest to a speed of 6.0 m/s, which concept primarily represents the energy change involved assuming no losses?

<p>Kinetic energy (B)</p> Signup and view all the answers

What effect does moving from deeper water to shallower water have on the speed of water waves?

<p>Speed decreases (B)</p> Signup and view all the answers

During the acceleration phase, what is the final speed of the marathon runner after 2 seconds?

<p>5 m/s (C)</p> Signup and view all the answers

If the bulbs in a circuit are not lit to full brightness, what could be a potential reason?

<p>The circuit is completely open. (A), The bulbs are designed for a lower wattage. (B), There is a partial short circuit. (D)</p> Signup and view all the answers

What is the approximate reading on the voltmeter in a circuit where the bulbs are dim?

<p>60 V (D)</p> Signup and view all the answers

Which statement correctly describes the energy transfer in a gravity battery system?

<p>Energy is stored as gravitational potential energy. (D)</p> Signup and view all the answers

When a gravity battery releases energy, which of the following occurs?

<p>Electrical generators are activated as masses descend. (D)</p> Signup and view all the answers

If a gravity battery system has an output of 1 kW for 1 hour, how much energy does it transfer in kilowatt-hours?

<p>1 kWh (B)</p> Signup and view all the answers

What is an essential feature of the cylindrical container used in the gravity battery?

<p>It should be filled with a mass of significant average density. (B)</p> Signup and view all the answers

How does raising the masses in a gravity battery affect the energy system?

<p>It increases stored gravitational potential energy. (C)</p> Signup and view all the answers

In terms of volume, what is the volume of the cylindrical container if its diameter is 5.0 m and height is 4.0 m?

<p>78.5 m³ (D)</p> Signup and view all the answers

If a gravity battery system fails to meet peak energy demands, what might be a consequence?

<p>Prolonged power outages. (A)</p> Signup and view all the answers

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Study Notes

Intermediate Physics Challenge 2023

  • The Intermediate Physics Challenge is a competition for students in year 12.
  • The competition consists of three sections: multiple choice, short written questions, and extended numerical questions.
  • The competition covers a range of physics topics, including mechanics, heat, electricity, magnetism, and waves.

Gravity Batteries

  • Gravity batteries store energy by raising large masses, typically crushed rock, up a shaft.
  • When energy is needed, the masses are lowered, generating electricity.
  • The energy stored in a gravity battery is equal to the gravitational potential energy of the mass.

Energy Storage System

  • The container used in the gravity battery system has a diameter of 5.0 m and a depth of 4.0 m.
  • The container is filled with crushed rock with an average density of 5200 kg/m³.
  • The mass can be raised or lowered a total distance of 300 m in the shaft.
  • The efficiency of the electrical generators is 94%.
  • The gravity battery can provide energy to the national grid at a rate of 800 kW.
  • Eight cables are used to support the mass.

Parallax

  • Edmund Halley proposed using the transit of Venus across the Sun to determine the absolute scale of the solar system.
  • The difference in the apparent positions of an object seen from two different points is called parallax.
  • In 1769, Captain James Cook travelled to Tahiti to observe the transit of Venus.
  • The parallax angle was determined to be 0.0130° from two locations separated by a distance of 9560 km.

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