Date | November 2020 | Marks available | 1 | Reference code | 20N.1.HL.TZ0.32 |
Level | Higher level | Paper | Paper 1 | Time zone | 0 - no time zone |
Command term | Question number | 32 | Adapted from | N/A |
Question
The graph shows the variation of electric field strength with distance from a point charge.
The shaded area X is the area under the graph between two separations and from the charge.
What is X?
A. The electric field average between and
B. The electric potential difference between and
C. The work done in moving a charge from to
D. The work done in moving a charge from to
Markscheme
B
Examiners report
Syllabus sections
-
19M.1.HL.TZ1.34:
A satellite in a circular orbit around the Earth needs to reduce its orbital radius.
What is the work done by the satellite rocket engine and the change in kinetic energy resulting from this shift in orbital height?
- 22M.1.HL.TZ2.32: Two positive and two negative charges are located at the corners of a square as shown. Point...
- 22M.1.HL.TZ2.33: The graph shows the variation with distance r of the electric potential V from a charge...
- 17N.2.HL.TZ0.2b.ii: satellite Y requires a propulsion system.
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22M.2.HL.TZ1.7a:
Calculate the electric potential at O.
- 22M.2.HL.TZ1.7b: Sketch, on the axes, the variation of the electric potential V with distance between X and Y.
-
22M.2.HL.TZ2.7c.iii:
Determine whether the object will reach the surface of the sphere.
-
22M.2.HL.TZ2.7b:
The electric potential at a point a distance 2.8 m from the centre of the sphere is 7.71 kV. Determine the radius of the sphere.
- 17M.2.HL.TZ2.8b.iv: An asteroid strikes the Earth and causes the orbital speed of the Earth to suddenly decrease....
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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 = constant.
- 16N.1.HL.TZ0.32: A satellite of mass 1500 kg is in the Earth’s gravitational field. It moves from a point...
- 17M.1.HL.TZ1.30: A satellite at the surface of the Earth has a weight W and gravitational potential energy...
- 17M.1.HL.TZ2.32: Four uniform planets have masses and radii as shown. Which planet has the smallest escape...
- 18N.1.HL.TZ0.31: The gravitational potential at point P due to Earth is V. What is the definition of the...
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18N.1.HL.TZ0.30:
Two point charges Q1 and Q2 are one metre apart. The graph shows the variation of electric potential V with distance from Q1.
What is ?
A.
B.
C. 4
D. 16
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19N.2.HL.TZ0.8a(i):
Show that the speed of the electron with mass , is given by .
- 19N.1.HL.TZ0.32: An electron enters a uniform electric field of strength E with a velocity v. The direction of...
- 21N.1.HL.TZ0.31: Two charged parallel plates have electric potentials of 10 V and 20 V. A particle with...
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21N.2.HL.TZ0.7b.ii:
Predict the charge on each sphere.
-
18N.2.HL.TZ0.6b.i:
State the maximum distance between the centres of the nuclei for which the production of is likely to occur.
-
19M.2.HL.TZ1.5b.ii:
The following data for the Mars–Phobos system and the Earth–Moon system are available:
Mass of Earth = 5.97 × 1024 kg
The Earth–Moon distance is 41 times the Mars–Phobos distance.
The orbital period of the Moon is 86 times the orbital period of Phobos.
Calculate, in kg, the mass of Mars.
-
18N.1.HL.TZ0.32:
The escape speed for the Earth is esc. Planet X has half the density of the Earth and twice the radius. What is the escape speed for planet X?
A.
B.
C. esc
D. esc
- 17N.2.HL.TZ0.2b.i: the orbital times for X and Y are different.
-
19M.1.HL.TZ1.33:
The escape velocity for an object at the surface of the Earth is vesc. The diameter of the Moon is 4 times smaller than that of the Earth and the mass of the Moon is 81 times smaller than that of the Earth. What is the escape velocity of the object on the Moon?
A. vesc
B. vesc
C. vesc
D. vesc
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18M.2.HL.TZ2.6c:
The diagram shows the path of an asteroid as it moves past the planet.
When the asteroid was far away from the planet it had negligible speed. Estimate the speed of the asteroid at point P as defined in (b).
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19M.2.HL.TZ2.9aii:
Suppose the star could contract to half its original radius without any loss of mass. Discuss the effect, if any, this has on the total energy of the planet.
-
17M.1.HL.TZ2.31:
The graph shows the variation of the gravitational potential V with distance r from the centre of a uniform spherical planet. The radius of the planet is R. The shaded area is S.
What is the work done by the gravitational force as a point mass m is moved from the surface of the planet to a distance 6R from the centre?
A. m (V2 – V1 )
B. m (V1 – V2 )
C. mS
D. S
- 16N.1.HL.TZ0.30: What is the unit of Gε0, where G is the gravitational constant and ε0 is the permittivity of...
- 17M.2.HL.TZ2.8a: Outline why the gravitational potential is negative.
-
16N.2.HL.TZ0.7a:
Explain what is meant by the gravitational potential at the surface of a planet.
-
21M.2.HL.TZ2.10b.i:
Show that the is about 80.
- 19M.2.HL.TZ1.5c: The graph shows the variation of the gravitational potential between the Earth and Moon with...
-
19M.1.HL.TZ2.10:
Satellite X is in orbit around the Earth. An identical satellite Y is in a higher orbit. What is correct for the total energy and the kinetic energy of the satellite Y compared with satellite X?
-
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 expression gives the speed of the electron?
A.
B.
C.
D.
- 17M.2.HL.TZ1.6b: The diagram shows part of the surface of planet X. The gravitational potential at the surface...
-
19N.1.HL.TZ0.30:
The gravitational potential is at a distance above the surface of a spherical planet of radius and uniform density. What is the gravitational potential a distance above the surface of the planet?
A.
B.
C.
D.
-
19N.2.HL.TZ0.8a(ii):
Hence, deduce that the total energy of the electron is given by .
-
19M.2.HL.TZ1.5b.i:
The orbital period T of a moon orbiting a planet of mass M is given by
where R is the average distance between the centre of the planet and the centre of the moon.
Show that
-
19N.1.HL.TZ0.31:
The force acting between two point charges is when the separation of the charges is . What is the force between the charges when the separation is increased to ?
A.
B.
C.
D.
-
21M.1.HL.TZ2.32:
A satellite orbits planet with a speed at a distance from the centre of planet . Another satellite orbits planet at a speed of at a distance from the centre of planet . The mass of planet is and the mass of planet is . What is the ratio of ?
A. 0.25B. 0.5
C. 2.0
D. 4.0
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20N.2.HL.TZ0.8c(ii):
Determine the charge of the sphere.
-
21M.2.HL.TZ1.2c.ii:
Estimate the escape speed of the spacecraft from the planet–star system.
-
18N.2.HL.TZ0.6b.ii:
Determine, in J, the minimum initial kinetic energy that the deuterium nucleus must have in order to produce . Assume that the phosphorus nucleus is stationary throughout the interaction and that only electrostatic forces act.
-
21M.2.HL.TZ2.3d.ii:
Outline, without calculation, whether or not the electric potential at P is zero.
-
20N.2.HL.TZ0.8b:
Draw, on the axes, the variation of electric potential with distance from the centre of the sphere.
- 20N.2.HL.TZ0.8d: The concept of potential is also used in the context of gravitational fields. Suggest why...
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21M.2.HL.TZ2.10b.ii:
Outline, using (b)(i), why it is not correct to use the equation to calculate the speed required for the spacecraft to reach infinity from the surface of .
-
20N.2.HL.TZ0.8a:
Explain why the electric potential decreases from A to B.
- 21M.1.HL.TZ1.31: Which is a correct unit for gravitational potential? A. m2 s−2 B. J kg C. m s−2 D....
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16N.2.HL.TZ0.7b:
An unpowered projectile is fired vertically upwards into deep space from the surface of planet Venus. Assume that the gravitational effects of the Sun and the other planets are negligible.
The following data are available.
Mass of Venus = 4.87×1024 kg Radius of Venus = 6.05×106 m Mass of projectile = 3.50×103 kg Initial speed of projectile = 1.10×escape speed(i) Determine the initial kinetic energy of the projectile.
(ii) Describe the subsequent motion of the projectile until it is effectively beyond the gravitational field of Venus.
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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 that the orbital speed of satellite X is about 8 km s–1.
-
17N.1.HL.TZ0.32:
A spacecraft moves towards the Earth under the influence of the gravitational field of the Earth.
The three quantities that depend on the distance r of the spacecraft from the centre of the Earth are the
I. gravitational potential energy of the spacecraft
II gravitational field strength acting on the spacecraft
III. gravitational force acting on the spacecraft.Which of the quantities are proportional to ?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
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19N.2.HL.TZ0.8a(iii):
In this model the electron loses energy by emitting electromagnetic waves. Describe the predicted effect of this emission on the orbital radius of the electron.
- 18M.1.HL.TZ2.31: A satellite orbiting a planet moves from orbit X to orbit Y. ...
- 21M.1.HL.TZ1.32: A planet has radius R. The escape speed from the surface of the planet is v. At what...
-
19M.2.HL.TZ2.9ai:
Show that the total energy of the planet is given by the equation shown.
-
17M.2.HL.TZ2.8b.ii:
Calculate the gravitational potential energy of the Earth in its orbit around the Sun. Give your answer to an appropriate number of significant figures.
-
17M.2.HL.TZ2.8b.iii:
Calculate the total energy of the Earth in its orbit.
-
17M.2.HL.TZ1.6c:
A meteorite, very far from planet X begins to fall to the surface with a negligibly small initial speed. The mass of planet X is 3.1 × 1021 kg and its radius is 1.2 × 106 m. The planet has no atmosphere. Calculate the speed at which the meteorite will hit the surface.
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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 RM.
Which is the ratio ?
A.
B.
C.
D.
-
19M.1.HL.TZ2.11:
The escape speed from a planet of radius R is vesc. A satellite orbits the planet at a distance R from the surface of the planet. What is the orbital speed of the satellite?
A.
B.
C.
D.
-
21M.2.HL.TZ2.10c:
An engineer needs to move a space probe of mass 3600 kg from Ganymede to Callisto. Calculate the energy required to move the probe from the orbital radius of Ganymede to the orbital radius of Callisto. Ignore the mass of the moons in your calculation.
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21N.2.HL.TZ0.6e:
Discuss, by reference to the answer in (b), whether it is likely that Titan will lose its atmosphere of nitrogen.
-
21N.1.HL.TZ0.32:
A satellite of mass orbits a planet of mass in a circular orbit of radius . What is the work that must be done on the satellite to increase its orbital radius to ?
A.B.
C.
D.
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21N.2.HL.TZ0.6b:
The mass of Titan is 0.025 times the mass of the Earth and its radius is 0.404 times the radius of the Earth. The escape speed from Earth is 11.2 km s−1. Show that the escape speed from Titan is 2.8 km s−1.
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21N.2.HL.TZ0.7a:
Show that the charge on the surface of the sphere is +18 μC.
-
22M.1.HL.TZ1.33:
An object of mass is launched from the surface of the Earth. The Earth has a mass and radius . The acceleration due to gravity at the surface of the Earth is . What is the escape speed of the object from the surface of the Earth?
A.
B.
C.
D.