DP Physics Questionbank
Topic 10: Fields
Description
Overview of the essential ideas for this topic.
10.1: Electric charges and masses each influence the space around them and that influence can be represented through the concept of fields.
10.2: Similar approaches can be taken in analysing electrical and gravitational potential problems.
Directly related questions
- 18M.2.HL.TZ2.6d: The mass of the asteroid is 6.2 × 1012 kg. Calculate the gravitational force experienced by the...
- 18M.2.HL.TZ2.6c: The diagram shows the path of an asteroid as it moves past the planet. ...
- 18M.2.HL.TZ2.6b: A planet has a radius of 3.1 × 106 m. At a point P a distance 2.4 × 107 m above the surface of...
- 18M.2.HL.TZ2.6a.iii: Draw a graph, on the axes, to show the variation of the gravitational potential V of the planet...
- 18M.2.HL.TZ2.6a.ii: Show that V = –g(R + h).
- 18M.1.HL.TZ2.32: The mass of the Earth is ME and the mass of the Moon is MM. Their respective radii are RE and...
- 18M.1.HL.TZ2.31: A satellite orbiting a planet moves from orbit X to orbit Y. ...
- 18M.1.HL.TZ2.30: A positive point charge is placed above a metal plate at zero electric potential. Which...
- 18M.1.HL.TZ2.29: The diagram shows the electric field and the electric equipotential surfaces between two...
- 18M.1.HL.TZ2.28: A moon of mass M orbits a planet of mass 100M. The radius of the planet is R and the...
- 18M.2.HL.TZ1.8c.i: On the diagram, draw and label the equipotential lines at –0.4 V and –0.8 V.
- 18M.1.HL.TZ1.32: An electron of mass me orbits an alpha particle of mass mα in a circular orbit of radius r. Which...
- 18M.1.HL.TZ1.31: The diagram shows 5 gravitational equipotential lines. The gravitational potential on each line...
- 18M.1.HL.TZ1.30: Four identical, positive, point charges of magnitude Q are placed at the vertices of a square of...
- 17N.2.HL.TZ0.2b.ii: satellite Y requires a propulsion system.
- 17N.2.HL.TZ0.2b.i: the orbital times for X and Y are different.
- 17N.2.HL.TZ0.2a: Satellite X orbits 6600 km from the centre of the Earth. Mass of the Earth = 6.0 x 1024 kg Show...
- 17N.1.HL.TZ0.33: An isolated hollow metal sphere of radius R carries a positive charge. Which graph shows...
- 17N.1.HL.TZ0.32: A spacecraft moves towards the Earth under the influence of the gravitational field of the...
- 17N.1.HL.TZ0.31: A charge of −3 C is moved from A to B and then back to A. The electric potential at A is +10 V...
- 16M.1.HL.TZ0.35: Which of the following...
- 10N.2.HL.TZ0.B4Part2.b: (i) calculate the change in gravitational potential energy of the rocket at a distance 4R...
- 10N.2.HL.TZ0.B4Part2.a: Define gravitational potential energy of a mass at a point.
- 09N.1.HL.TZ0.21: The diagram below shows a particle with positive charge q accelerating between two conducting...
- 09N.1.HL.TZ0.7: Which of the following represents a scalar and a vector quantity?
- 10M.1.HL.TZ1.9: The escape speed from the surface of a planet depends on A. both the radius and the mass of...
- 10M.1.HL.TZ1.8: Gravitational potential at a point is defined as the work done A. per unit mass in moving a...
- 10M.1.HL.TZ1.7: The diagram shows two parallel metal plates X and Y. Plate X is at Earth potential (0 V) and...
- 17M.2.HL.TZ2.8b.iv: An asteroid strikes the Earth and causes the orbital speed of the Earth to suddenly decrease....
- 17M.2.HL.TZ2.8b.iii: Calculate the total energy of the Earth in its orbit.
- 17M.2.HL.TZ2.8b.ii: Calculate the gravitational potential energy of the Earth in its orbit around the Sun. Give your...
- 17M.2.HL.TZ2.8b.i: The gravitational potential due to the Sun at a distance r from its centre is VS. Show that rVS...
- 17M.2.HL.TZ2.8a: Outline why the gravitational potential is negative.
- 17M.2.HL.TZ1.6c: A meteorite, very far from planet X begins to fall to the surface with a negligibly small initial...
- 17M.2.HL.TZ1.6b: The diagram shows part of the surface of planet X. The gravitational potential at the surface of...
- 17M.2.HL.TZ1.6a: Outline how this diagram shows that the gravitational field strength of planet X decreases with...
- 17M.1.HL.TZ2.32: Four uniform planets have masses and radii as shown. Which planet has the smallest escape speed?
- 17M.1.HL.TZ2.31: The graph shows the variation of the gravitational potential V with distance r from the centre of...
- 17M.1.HL.TZ2.30: A positive charge Q is deposited on the surface of a small sphere. The dotted lines...
- 17M.1.HL.TZ1.31: Two point charges are at rest as shown. At which position is the electric field strength...
- 17M.1.HL.TZ1.30: A satellite at the surface of the Earth has a weight W and gravitational potential energy Ep. The...
- 17M.1.HL.TZ1.29: An electric field acts in the space between two charged parallel plates. One plate is at zero...
- 16M.2.HL.TZ0.5c: The total energy of a probe in orbit around a planet of mass M is \(E = - \frac{{GMm}}{{2r}}\)...
- 16M.2.HL.TZ0.5b: A probe is launched vertically upwards from the surface of a planet with a...
- 16M.2.HL.TZ0.5a: Outline what is meant by escape speed.
- 16N.2.HL.TZ0.7b: An unpowered projectile is fired vertically upwards into deep space from the surface of planet...
- 16N.2.HL.TZ0.7a: Explain what is meant by the gravitational potential at the surface of a planet.
- 16N.1.HL.TZ0.32: A satellite of mass 1500 kg is in the Earth’s gravitational field. It moves from a point where...
- 16N.1.HL.TZ0.31: Two parallel metal plates are connected to a dc power supply. An electric field forms in the...
- 16N.1.HL.TZ0.30: What is the unit of Gε0, where G is the gravitational constant and ε0 is the permittivity of free...
- 16M.1.HL.TZ0.28: A satellite orbits a planet. Which graph shows how the kinetic...
- 16M.1.HL.TZ0.27: In an experiment, oil droplets of mass m and charge q are dropped into...
- 16M.1.HL.TZ0.26: A negative charge moves in an electric field. Equipotential lines for the field...
- 10N.2.SL.TZ0.B2Part1.c: (i) Determine the magnitude of the electric field between the base of the thundercloud and...
- 10N.2.SL.TZ0.B2Part1.b: A thundercloud can be modelled as a negatively charged plate that is parallel to the...
- 10N.2.SL.TZ0.B2Part1.a: Define electric field strength.
- 10N.1.SL.TZ0.20: Which arrangement of three point charges at the corner of an equilateral triangle will result in...
- 10N.1.HL.TZ0.25: Two positive and two negative point charges of equal magnitude are placed at the vertices of a...
- 10N.1.HL.TZ0.24: The diagram shows equipotential lines due to two objects. The two objects could be A. ...
- 10M.1.SL.TZ1.16: A point charge of magnitude \(2.0{\text{ }}\mu {\text{ C}}\) is moved between two points X and Y....
- 09M.1.HL.TZ1.8: The two graphs below represent the variation with distance, \(d\), for \(d = r\) to \(d = 2r\) of...
- 09M.1.HL.TZ1.7: The mass of a planet is \(M\) and its radius is \(R\). In order for a body of mass \(m\) to...
- 14M.2.HL.TZ2.6d: The table gives the gravitational potential V for various distances r from the surface of Earth....
- 14N.2.SL.TZ0.6f: Using the diagram, draw the electric field pattern due to the charged sphere.
- 14N.2.HL.TZ0.4c: In practice, the total energy of the shuttle decreases as it collides with air molecules in the...
- 14N.2.HL.TZ0.4b.ii: Using the expression for \({E_{\text{K}}}\) in (a) and your answer to (b)(i), determine \(R\) in...
- 14N.2.HL.TZ0.4b.i: Show that the total energy of the shuttle in its orbit is given by \( - \frac{{GMm}}{{2R}}\). Air...
- 14N.2.HL.TZ0.4a: The kinetic energy \({E_{\text{K}}}\) given to the shuttle at its launch is given by the...
- 15N.2.HL.TZ0.6b.iii: Determine the change in the electric potential energy of M as it moves from the positive to the...
- 15N.2.HL.TZ0.6a: On the diagram, draw the shape of the electric field between the plates.
- 15N.2.HL.TZ0.6b.i: Calculate the electric field strength between the plates.
- 15N.1.HL.TZ0.25: A negatively charged particle falls vertically into a region where there is an electric field....
- 15M.1.HL.TZ1.26: A particle of charge q is at point S in a uniform electric field of strength E. The particle...
- 15M.1.SL.TZ1.21: A particle has charge and mass. Which types of field cause a force to be exerted on the particle...
- 15M.1.SL.TZ2.20: An electron is held close to the surface of a negatively charged sphere and then released. Which...
- 15M.1.HL.TZ2.21: An electron is held close to the surface of a negatively charged sphere and then released. Which...
- 15M.1.HL.TZ2.24: Two spherical objects of mass M are held a small distance apart. The radius of each object is...
- 15M.1.HL.TZ2.20: The diagram shows two point charges P and Q. At which position is the electric field strength...
- 15M.1.HL.TZ2.25: The diagram shows equipotential lines around two sources. Possible sources are I. two equal...
- 15M.2.SL.TZ2.6d: Define electric field strength at a point in an electric field.
- 15M.2.HL.TZ2.6f: A space station is in orbit at a distance r from the centre of the planet in (e)(i). A satellite...
- 14M.1.SL.TZ2.20: The gravitational field strength at a point X in a gravitational field is defined as the...
- 14M.1.HL.TZ2.7: The sketch graph shows how the gravitational potential V of a planet varies with distance r from...
- 14M.1.HL.TZ1.8: A field line is normal to an equipotential surface A. for both electric and gravitational...
- 14M.1.HL.TZ1.23: Two negatively charged particles are released from rest half-way between two oppositely charged...
- 14M.1.SL.TZ2.21: Four point charges of equal magnitude W, X, Y and Z are each fixed to a corner of a square. W...
- 14M.1.HL.TZ2.8: Which diagram shows a correct equipotential line due to two point charges X and Y of opposite...
- 14M.2.HL.TZ1.6i: Deduce that the speed of the spaceship is \(v = \sqrt {\frac{{GM}}{r}} \).
- 14M.2.HL.TZ1.6j: The table gives equations for the forms of energy of the orbiting spaceship. The spaceship...
- 14N.1.SL.TZ0.20: A positive point charge P and a negative point charge Q of equal magnitude are held at fixed...
- 14N.1.SL.TZ0.21: What field pattern can be produced by two point charges?
- 14N.1.HL.TZ0.25: At the surface of a planet of radius r, the gravitational field strength is g and the...
- 14N.1.HL.TZ0.26: A negative ion is held at point P in an electric field as represented by the arrowed field...
- 14N.1.HL.TZ0.23: A positive point charge P and a negative point charge Q of equal magnitude are held at fixed...
- 11N.1.HL.TZ0.7: The escape speed of a rocket from the surface of Earth depends on the universal gravitational...
- 11N.1.HL.TZ0.8: A satellite in orbit about Earth moves to another orbit that is closer to the surface of Earth....
- 12N.1.SL.TZ0.22: Which diagram shows the electric field pattern surrounding two equal positive point charges?
- 13N.1.HL.TZ0.22: A satellite is in orbit about Earth at a distance r from the centre of Earth. The gravitational...
- 13N.1.SL.TZ0.22: An electron of mass me and charge e accelerates between two plates separated by a distance s in a...
- 13N.1.HL.TZ0.23: The graph shows the variation with distance r of the electric potential V for a positively...
- 13M.1.HL.TZ1.23: M is a spherical mass situated far away from any other masses. Which of the following...
- 13M.1.HL.TZ1.24: A satellite is moved from a low orbit to a higher orbit. Which of the following accurately...
- 13M.2.SL.TZ1.7b: The diagram shows a pair of horizontal metal plates. Electrons can be deflected vertically using...
- 13M.2.SL.TZ1.7c: The diagram shows two isolated electrons, X and Y, initially at rest in a vacuum. The initial...
- 12M.1.SL.TZ2.19: A particle of mass m is a distance R from the surface of Earth of mass M. The force acting on...
- 12M.1.HL.TZ2.7: Two charged parallel metal plates, X and Y, are separated by a distance of 2.0 m. X is at a...
- 12M.1.HL.TZ2.8: A satellite in close-Earth orbit moves to an orbit further from the Earth’s surface. Which of the...
- 12M.1.SL.TZ1.20: The electric field strength between two oppositely charged parallel plates A. has the same value...
- 12M.1.HL.TZ1.21: At the surface of a planet of radius r, the gravitational potential is –6.4×107J kg–1. The...
- 13M.2.HL.TZ1.11c: A polar orbiting satellite has an orbit which passes above both of the Earth’s poles. One polar...
- 13M.2.SL.TZ2.6b: In a simple model of the hydrogen atom, the electron can be regarded as being in a circular orbit...
- 11M.1.HL.TZ2.8: A spacecraft is in orbit at a distance...
- 11M.1.HL.TZ2.7: A spacecraft moves from point X to point Y in the gravitational field of Earth. At point X, the...
- 13M.1.SL.TZ2.20: Three positive point charges +Q are fixed in position at the vertices of an isosceles triangle. P...
- 13M.1.HL.TZ2.6: Which graph shows how the total energy E of an orbiting satellite varies with distance r from the...
- 13M.1.HL.TZ2.21: The diagram shows the electric field pattern due to two point charges X and Y. Y is a negative...
- 11M.2.HL.TZ2.7b: Two plastic rods each have a positive charge +q situated at one end. The rods are arranged...
- 11M.2.HL.TZ2.8a: A satellite, of mass m, is in orbit about Earth at a distance r from the centre of...
- 11M.2.HL.TZ2.8b: The graph shows the variation with distance r of the Earth’s gravitational...
- 12M.2.HL.TZ2.5b: A positive point charge is moving towards a small, charged metal sphere along a radial...
- 12M.2.HL.TZ2.5a: Define electric potential at a point in an electric field.
- 11N.2.HL.TZ0.4a: Explain what is meant by escape speed.
- 11N.2.HL.TZ0.4b: Titania is a moon that orbits the planet Uranus. The mass of Titania is 3.5×1021kg. The radius of...
- 12N.2.SL.TZ0.9b: The diagram shows a satellite orbiting the Earth. The satellite is part of the network of...
- 12N.2.SL.TZ0.9c: (i) Explain why the satellite is accelerating towards the centre of the Earth even though its...
- 13N.2.HL.TZ0.8e: Define gravitational potential at a point in a gravitational field.
- 13N.2.HL.TZ0.8f: The graph shows how the gravitational potential V of Earth varies with distance R from the centre...
- 13N.2.HL.TZ0.8g: State why the change of potential energy in (f)(ii) is an increase.
- 11M.1.HL.TZ1.24: Which of the diagrams below best represents the equipotential surfaces around two identical point...
- 11M.1.HL.TZ1.25: Which of the following graphs represents how the total energy E of an orbiting satellite varies...
- 11M.2.HL.TZ1.2b: Deduce for the probe in orbit that its (i) speed is \(v = \sqrt {\frac{{GM}}{r}} \). (ii) total...
- 11M.2.HL.TZ1.2c: It is now required to place the probe in another circular orbit further away from the planet. To...
Sub sections and their related questions
10.1 – Describing fields
- 15M.1.SL.TZ1.21: A particle has charge and mass. Which types of field cause a force to be exerted on the particle...
- 15M.1.SL.TZ2.20: An electron is held close to the surface of a negatively charged sphere and then released. Which...
- 15M.1.HL.TZ2.20: The diagram shows two point charges P and Q. At which position is the electric field strength...
- 15M.1.HL.TZ2.21: An electron is held close to the surface of a negatively charged sphere and then released. Which...
- 15M.1.HL.TZ2.25: The diagram shows equipotential lines around two sources. Possible sources are I. two equal...
- 15M.2.SL.TZ2.6d: Define electric field strength at a point in an electric field.
- 14M.1.HL.TZ1.8: A field line is normal to an equipotential surface A. for both electric and gravitational...
- 14M.1.SL.TZ2.20: The gravitational field strength at a point X in a gravitational field is defined as the...
- 14M.1.SL.TZ2.21: Four point charges of equal magnitude W, X, Y and Z are each fixed to a corner of a square. W...
- 14M.1.HL.TZ2.8: Which diagram shows a correct equipotential line due to two point charges X and Y of opposite...
- 15N.1.HL.TZ0.25: A negatively charged particle falls vertically into a region where there is an electric field....
- 15N.2.HL.TZ0.6b.i: Calculate the electric field strength between the plates.
- 15N.2.HL.TZ0.6a: On the diagram, draw the shape of the electric field between the plates.
- 14N.1.SL.TZ0.20: A positive point charge P and a negative point charge Q of equal magnitude are held at fixed...
- 14N.1.SL.TZ0.21: What field pattern can be produced by two point charges?
- 14N.1.HL.TZ0.23: A positive point charge P and a negative point charge Q of equal magnitude are held at fixed...
- 14N.1.HL.TZ0.26: A negative ion is held at point P in an electric field as represented by the arrowed field...
- 14N.2.SL.TZ0.6f: Using the diagram, draw the electric field pattern due to the charged sphere.
- 12N.1.SL.TZ0.22: Which diagram shows the electric field pattern surrounding two equal positive point charges?
- 13M.1.HL.TZ1.23: M is a spherical mass situated far away from any other masses. Which of the following...
- 13M.1.HL.TZ1.24: A satellite is moved from a low orbit to a higher orbit. Which of the following accurately...
- 13M.2.SL.TZ1.7b: The diagram shows a pair of horizontal metal plates. Electrons can be deflected vertically using...
- 13M.2.SL.TZ1.7c: The diagram shows two isolated electrons, X and Y, initially at rest in a vacuum. The initial...
- 12M.1.SL.TZ1.20: The electric field strength between two oppositely charged parallel plates A. has the same value...
- 13M.1.SL.TZ2.20: Three positive point charges +Q are fixed in position at the vertices of an isosceles triangle. P...
- 13M.1.HL.TZ2.21: The diagram shows the electric field pattern due to two point charges X and Y. Y is a negative...
- 11M.2.HL.TZ2.7b: Two plastic rods each have a positive charge +q situated at one end. The rods are arranged...
- 12M.2.HL.TZ2.5a: Define electric potential at a point in an electric field.
- 11M.1.HL.TZ1.24: Which of the diagrams below best represents the equipotential surfaces around two identical point...
- 10M.1.HL.TZ1.7: The diagram shows two parallel metal plates X and Y. Plate X is at Earth potential (0 V) and...
- 10M.1.HL.TZ1.8: Gravitational potential at a point is defined as the work done A. per unit mass in moving a...
- 10M.1.SL.TZ1.16: A point charge of magnitude \(2.0{\text{ }}\mu {\text{ C}}\) is moved between two points X and Y....
- 09N.1.HL.TZ0.21: The diagram below shows a particle with positive charge q accelerating between two conducting...
- 10N.1.HL.TZ0.24: The diagram shows equipotential lines due to two objects. The two objects could be A. ...
- 10N.2.HL.TZ0.B4Part2.a: Define gravitational potential energy of a mass at a point.
- 10N.2.SL.TZ0.B2Part1.a: Define electric field strength.
- 10N.2.SL.TZ0.B2Part1.b: A thundercloud can be modelled as a negatively charged plate that is parallel to the...
- 10N.2.SL.TZ0.B2Part1.c: (i) Determine the magnitude of the electric field between the base of the thundercloud and...
- 16M.1.HL.TZ0.26: A negative charge moves in an electric field. Equipotential lines for the field...
- 16M.1.HL.TZ0.27: In an experiment, oil droplets of mass m and charge q are dropped into...
- 16M.1.HL.TZ0.35: Which of the following...
- 16N.1.HL.TZ0.31: Two parallel metal plates are connected to a dc power supply. An electric field forms in the...
- 17M.1.HL.TZ1.29: An electric field acts in the space between two charged parallel plates. One plate is at zero...
- 17M.1.HL.TZ1.31: Two point charges are at rest as shown. At which position is the electric field strength...
- 17M.2.HL.TZ1.6a: Outline how this diagram shows that the gravitational field strength of planet X decreases with...
- 17M.1.HL.TZ2.30: A positive charge Q is deposited on the surface of a small sphere. The dotted lines...
- 17N.1.HL.TZ0.31: A charge of −3 C is moved from A to B and then back to A. The electric potential at A is +10 V...
- 17N.1.HL.TZ0.33: An isolated hollow metal sphere of radius R carries a positive charge. Which graph shows...
- 18M.1.HL.TZ1.30: Four identical, positive, point charges of magnitude Q are placed at the vertices of a square of...
- 18M.1.HL.TZ1.31: The diagram shows 5 gravitational equipotential lines. The gravitational potential on each line...
- 18M.2.HL.TZ1.8c.i: On the diagram, draw and label the equipotential lines at –0.4 V and –0.8 V.
- 18M.1.HL.TZ2.28: A moon of mass M orbits a planet of mass 100M. The radius of the planet is R and the...
- 18M.1.HL.TZ2.29: The diagram shows the electric field and the electric equipotential surfaces between two...
- 18M.1.HL.TZ2.30: A positive point charge is placed above a metal plate at zero electric potential. Which...
- 18M.2.HL.TZ2.6a.ii: Show that V = –g(R + h).
- 18M.2.HL.TZ2.6a.iii: Draw a graph, on the axes, to show the variation of the gravitational potential V of the planet...
- 18M.2.HL.TZ2.6b: A planet has a radius of 3.1 × 106 m. At a point P a distance 2.4 × 107 m above the surface of...
- 18M.2.HL.TZ2.6d: The mass of the asteroid is 6.2 × 1012 kg. Calculate the gravitational force experienced by the...
10.2 – Fields at work
- 15M.1.HL.TZ1.26: A particle of charge q is at point S in a uniform electric field of strength E. The particle...
- 15M.1.HL.TZ2.24: Two spherical objects of mass M are held a small distance apart. The radius of each object is...
- 15M.2.HL.TZ2.6f: A space station is in orbit at a distance r from the centre of the planet in (e)(i). A satellite...
- 14M.1.HL.TZ1.23: Two negatively charged particles are released from rest half-way between two oppositely charged...
- 14M.1.HL.TZ2.7: The sketch graph shows how the gravitational potential V of a planet varies with distance r from...
- 15N.1.HL.TZ0.25: A negatively charged particle falls vertically into a region where there is an electric field....
- 15N.2.HL.TZ0.6b.iii: Determine the change in the electric potential energy of M as it moves from the positive to the...
- 14N.1.HL.TZ0.25: At the surface of a planet of radius r, the gravitational field strength is g and the...
- 14N.1.HL.TZ0.26: A negative ion is held at point P in an electric field as represented by the arrowed field...
- 14N.2.HL.TZ0.4a: The kinetic energy \({E_{\text{K}}}\) given to the shuttle at its launch is given by the...
- 14N.2.HL.TZ0.4b.i: Show that the total energy of the shuttle in its orbit is given by \( - \frac{{GMm}}{{2R}}\). Air...
- 14N.2.HL.TZ0.4b.ii: Using the expression for \({E_{\text{K}}}\) in (a) and your answer to (b)(i), determine \(R\) in...
- 14N.2.HL.TZ0.4c: In practice, the total energy of the shuttle decreases as it collides with air molecules in the...
- 14M.2.HL.TZ2.6d: The table gives the gravitational potential V for various distances r from the surface of Earth....
- 11N.1.HL.TZ0.7: The escape speed of a rocket from the surface of Earth depends on the universal gravitational...
- 11N.1.HL.TZ0.8: A satellite in orbit about Earth moves to another orbit that is closer to the surface of Earth....
- 13N.1.SL.TZ0.22: An electron of mass me and charge e accelerates between two plates separated by a distance s in a...
- 13N.1.HL.TZ0.22: A satellite is in orbit about Earth at a distance r from the centre of Earth. The gravitational...
- 13N.1.HL.TZ0.23: The graph shows the variation with distance r of the electric potential V for a positively...
- 13M.1.HL.TZ1.24: A satellite is moved from a low orbit to a higher orbit. Which of the following accurately...
- 12M.1.SL.TZ2.19: A particle of mass m is a distance R from the surface of Earth of mass M. The force acting on...
- 12M.1.HL.TZ2.7: Two charged parallel metal plates, X and Y, are separated by a distance of 2.0 m. X is at a...
- 12M.1.HL.TZ2.8: A satellite in close-Earth orbit moves to an orbit further from the Earth’s surface. Which of the...
- 12M.1.HL.TZ1.21: At the surface of a planet of radius r, the gravitational potential is –6.4×107J kg–1. The...
- 13M.2.HL.TZ1.11c: A polar orbiting satellite has an orbit which passes above both of the Earth’s poles. One polar...
- 13M.2.SL.TZ2.6b: In a simple model of the hydrogen atom, the electron can be regarded as being in a circular orbit...
- 11M.1.HL.TZ2.7: A spacecraft moves from point X to point Y in the gravitational field of Earth. At point X, the...
- 11M.1.HL.TZ2.8: A spacecraft is in orbit at a distance...
- 13M.1.HL.TZ2.6: Which graph shows how the total energy E of an orbiting satellite varies with distance r from the...
- 11M.2.HL.TZ2.8a: A satellite, of mass m, is in orbit about Earth at a distance r from the centre of...
- 11M.2.HL.TZ2.8b: The graph shows the variation with distance r of the Earth’s gravitational...
- 12M.2.HL.TZ2.5b: A positive point charge is moving towards a small, charged metal sphere along a radial...
- 11N.2.HL.TZ0.4a: Explain what is meant by escape speed.
- 11N.2.HL.TZ0.4b: Titania is a moon that orbits the planet Uranus. The mass of Titania is 3.5×1021kg. The radius of...
- 12N.2.SL.TZ0.9b: The diagram shows a satellite orbiting the Earth. The satellite is part of the network of...
- 12N.2.SL.TZ0.9c: (i) Explain why the satellite is accelerating towards the centre of the Earth even though its...
- 13N.2.HL.TZ0.8e: Define gravitational potential at a point in a gravitational field.
- 13N.2.HL.TZ0.8f: The graph shows how the gravitational potential V of Earth varies with distance R from the centre...
- 13N.2.HL.TZ0.8g: State why the change of potential energy in (f)(ii) is an increase.
- 11M.1.HL.TZ1.25: Which of the following graphs represents how the total energy E of an orbiting satellite varies...
- 11M.2.HL.TZ1.2b: Deduce for the probe in orbit that its (i) speed is \(v = \sqrt {\frac{{GM}}{r}} \). (ii) total...
- 11M.2.HL.TZ1.2c: It is now required to place the probe in another circular orbit further away from the planet. To...
- 09M.1.HL.TZ1.7: The mass of a planet is \(M\) and its radius is \(R\). In order for a body of mass \(m\) to...
- 09M.1.HL.TZ1.8: The two graphs below represent the variation with distance, \(d\), for \(d = r\) to \(d = 2r\) of...
- 10M.1.HL.TZ1.9: The escape speed from the surface of a planet depends on A. both the radius and the mass of...
- 09N.1.HL.TZ0.7: Which of the following represents a scalar and a vector quantity?
- 10N.1.HL.TZ0.25: Two positive and two negative point charges of equal magnitude are placed at the vertices of a...
- 10N.1.SL.TZ0.20: Which arrangement of three point charges at the corner of an equilateral triangle will result in...
- 10N.2.HL.TZ0.B4Part2.b: (i) calculate the change in gravitational potential energy of the rocket at a distance 4R...
- 16M.1.HL.TZ0.28: A satellite orbits a planet. Which graph shows how the kinetic...
- 16M.1.HL.TZ0.35: Which of the following...
- 16M.2.HL.TZ0.5a: Outline what is meant by escape speed.
- 16M.2.HL.TZ0.5b: A probe is launched vertically upwards from the surface of a planet with a...
- 16M.2.HL.TZ0.5c: The total energy of a probe in orbit around a planet of mass M is \(E = - \frac{{GMm}}{{2r}}\)...
- 16N.1.HL.TZ0.30: What is the unit of Gε0, where G is the gravitational constant and ε0 is the permittivity of free...
- 16N.1.HL.TZ0.32: A satellite of mass 1500 kg is in the Earth’s gravitational field. It moves from a point where...
- 16N.2.HL.TZ0.7a: Explain what is meant by the gravitational potential at the surface of a planet.
- 16N.2.HL.TZ0.7b: An unpowered projectile is fired vertically upwards into deep space from the surface of planet...
- 17M.1.HL.TZ1.30: A satellite at the surface of the Earth has a weight W and gravitational potential energy Ep. The...
- 17M.2.HL.TZ1.6b: The diagram shows part of the surface of planet X. The gravitational potential at the surface of...
- 17M.2.HL.TZ1.6c: A meteorite, very far from planet X begins to fall to the surface with a negligibly small initial...
- 17M.1.HL.TZ2.31: The graph shows the variation of the gravitational potential V with distance r from the centre of...
- 17M.1.HL.TZ2.32: Four uniform planets have masses and radii as shown. Which planet has the smallest escape speed?
- 17M.2.HL.TZ2.8a: Outline why the gravitational potential is negative.
- 17M.2.HL.TZ2.8b.i: The gravitational potential due to the Sun at a distance r from its centre is VS. Show that rVS...
- 17M.2.HL.TZ2.8b.ii: Calculate the gravitational potential energy of the Earth in its orbit around the Sun. Give your...
- 17M.2.HL.TZ2.8b.iii: Calculate the total energy of the Earth in its orbit.
- 17M.2.HL.TZ2.8b.iv: An asteroid strikes the Earth and causes the orbital speed of the Earth to suddenly decrease....
- 17N.1.HL.TZ0.32: A spacecraft moves towards the Earth under the influence of the gravitational field of the...
- 17N.2.HL.TZ0.2a: Satellite X orbits 6600 km from the centre of the Earth. Mass of the Earth = 6.0 x 1024 kg Show...
- 17N.2.HL.TZ0.2b.i: the orbital times for X and Y are different.
- 17N.2.HL.TZ0.2b.ii: satellite Y requires a propulsion system.
- 18M.1.HL.TZ1.32: An electron of mass me orbits an alpha particle of mass mα in a circular orbit of radius r. Which...
- 18M.1.HL.TZ2.31: A satellite orbiting a planet moves from orbit X to orbit Y. ...
- 18M.1.HL.TZ2.32: The mass of the Earth is ME and the mass of the Moon is MM. Their respective radii are RE and...
- 18M.2.HL.TZ2.6c: The diagram shows the path of an asteroid as it moves past the planet. ...