Date | May 2017 | Marks available | 1 | Reference code | 17M.1.HL.TZ2.31 |
Level | Higher level | Paper | Paper 1 | Time zone | Time zone 2 |
Command term | Question number | 31 | Adapted from | N/A |
Question
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
Markscheme
B
Examiners report
[N/A]
Syllabus sections
Show 71 related questions
- 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...
- 17N.1.HL.TZ0.32: A spacecraft moves towards the Earth under the influence of the gravitational field of the...
- 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...
- 17M.2.HL.TZ2.8b.i: The gravitational potential due to the Sun at a distance r from its centre is VS. Show...
- 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...
- 17M.2.HL.TZ1.6b: The diagram shows part of the surface of planet X. The gravitational potential at the surface...
- 17M.1.HL.TZ2.32: Four uniform planets have masses and radii as shown. Which planet has the smallest escape...
- 17M.1.HL.TZ1.30: A satellite at the surface of the Earth has a weight W and gravitational potential energy...
- 16M.2.HL.TZ0.5c: The total energy of a probe in orbit around a planet of mass M is...
- 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...
- 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...
- 16N.1.HL.TZ0.30: What is the unit of Gε0, where G is the gravitational constant and ε0 is the permittivity of...
- 16M.1.HL.TZ0.35: Which of the following...
- 16M.1.HL.TZ0.28: A satellite orbits a planet. Which graph shows how the kinetic...
- 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...
- 14M.1.HL.TZ2.7: The sketch graph shows how the gravitational potential V of a planet varies with distance r...
- 14M.1.HL.TZ1.23: Two negatively charged particles are released from rest half-way between two oppositely...
- 15N.1.HL.TZ0.25: A negatively charged particle falls vertically into a region where there is an electric...
- 15N.2.HL.TZ0.6b.iii: Determine the change in the electric potential energy of M as it moves from the positive to...
- 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.TZ0.4b.i: Show that the total energy of the shuttle in its orbit is given by \( - \frac{{GMm}}{{2R}}\)....
- 14N.2.HL.TZ0.4b.ii: Using the expression for \({E_{\text{K}}}\) in (a) and your answer to (b)(i), determine \(R\)...
- 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.TZ0.4c: In practice, the total energy of the shuttle decreases as it collides with air molecules in...
- 14M.2.HL.TZ2.6d: The table gives the gravitational potential V for various distances r from the surface of...
- 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...
- 13N.1.HL.TZ0.22: A satellite is in orbit about Earth at a distance r from the centre of Earth. The...
- 13N.1.SL.TZ0.22: An electron of mass me and charge e accelerates between two plates separated by a distance s...
- 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...
- 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...
- 13M.2.SL.TZ2.6b: In a simple model of the hydrogen atom, the electron can be regarded as being in a circular...
- 11M.1.HL.TZ2.8: A spacecraft is in orbit at a...
- 11M.1.HL.TZ2.7: A spacecraft moves from point X to point Y in the gravitational field of Earth. At point X,...
- 13M.1.HL.TZ2.6: Which graph shows how the total energy E of an orbiting satellite varies with distance r from...
- 11M.2.HL.TZ2.8a: A satellite, of mass m, is in orbit about Earth at a distance r from the centre...
- 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...
- 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...
- 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...
- 11M.2.HL.TZ1.2b: Deduce for the probe in orbit that its (i) speed is \(v = \sqrt {\frac{{GM}}{r}} \). (ii)...
- 11M.2.HL.TZ1.2c: It is now required to place the probe in another circular orbit further away from the...
- 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...
- 10M.1.HL.TZ1.9: The escape speed from the surface of a planet depends on A. both the radius and the mass...
- 09N.1.HL.TZ0.7: Which of the following represents a scalar and a vector quantity?
- 10N.1.SL.TZ0.20: Which arrangement of three point charges at the corner of an equilateral triangle will result...
- 10N.1.HL.TZ0.25: Two positive and two negative point charges of equal magnitude are placed at the vertices of...
- 10N.2.HL.TZ0.B4Part2.b: (i) calculate the change in gravitational potential energy of the rocket at a distance 4R...