Based on your answer to part (b), define the terms in the following equations:
(i)
[1]
(ii)
[1]
Question 1d
Marks: 3
The following text is about uniform electrostatic and gravitational fields.
(d)
Complete the following sentences by circling the correct words:
A gravitational field is a region of space in which objects with mass / charge will experience a force.
The direction of the gravitational field is always directed away from / towards the centre of the mass.
Gravitational forces are always attractive / repulsive and cannot be attractive / repulsive.
An electric field is a region of space in which objects with mass / charge will experience a force.
The electric field strength is a vector quantity, it is always directed away from / towards a positive charge and away from / towards a negative charge.
Opposite charges (positive and negative) repel / attract each other and like charges (positive-positive or negative-negative) repel / attract each other.
[6]
Question 2a
Marks: 3
(a)
Draw the electric field lines around the positive and negative point charges below.
[3
Question 2b
Marks: 3
The diagram shows two parallel plates of opposite charge.
(b)
Draw the electric field lines between the two plates.
[3]
Question 2c
Marks: 5
Electrostatic fields can be radial or uniform.
(c)
State the defining features of the equipotentials for:
(i)
A radial field
[2]
(ii)
A uniform field
[3]
Question 2d
Marks: 4
(d)
(i)
On the diagram from part (a), draw the equipotential lines.
[2]
(ii)
On the diagram from part (b), draw the equipotential lines.
[2]
Question 3a
Marks: 2
(a)
State the definition for the gravitational potential at a point.
[2]
Question 3b
Marks: 2
(b)
Explain why gravitational potential is always negative.
[2]
Question 3c
Marks: 3
A satellite orbiting the moon, M, is moved from orbit A to orbit B:
The gravitational potential due to the moon of each of these orbits is:
Orbit A: –2.10 MJ kg–1 Orbit B: –1.65 MJ kg–1
(c)
Calculate the gravitational potential difference as the satellite moves from orbit A to orbit B.
[3]
Question 3d
Marks: 2
The satellite has a mass of 950 kg.
(d)
Calculate the work done in moving the satellite from orbit A to orbit B.
[2]
Question 4a
Marks: 2
The diagram shows the electric field lines of a charged conducting sphere of radius r and charge q.
(a)
State and explain the charge on the conducting sphere.
[2]
Question 4b
Marks: 2
Two points A and B are located on the same field line.
(b)
Explain why electric potential decreases from A to B.
[2]
Question 4c
Marks: 3
A proton is placed at A and released from rest. The magnitude of the work done by the electric field in moving the proton from A to B is 2.5 × 10−16 J. Point A is at a distance of 0.1 m from the centre of the sphere and point B is at a distance of 0.5 m.
(c)
Calculate the electric potential between points A and B.
[3]
Question 4d
Marks: 1
(d)
The concept of potential is also used in the context of gravitational fields. Suggest why scientists describe different types of fields using the same terminology.
[1]
Question 5a
Marks: 2
The gravitational potential, around a planet can be calculated using the equation:
Where G is the gravitational constant, m is the mass of the planet and r is the distance from the centre of the planet.
The mass of the Earth is 5.97 × 1024 kg.
(a)
Calculate the gravitational potential at a point 4.23 × 107 m from the centre of the Earth.
[2]
Question 5b
Marks: 3
The gravitational potential on the surface of the Earth is –6.25 × 107 J kg–1.
(b)
Calculate the gravitational potential difference between the surface of the Earth and a point 4.23 × 107 m from the centre of the Earth from part (a).
[3]
Question 5c
Marks: 2
(c)
Calculate the work done in taking a 5.0 kg mass from the surface of the Earth to a point 4.23 × 107 m from the centre of the Earth.
[2]
Question 5d
Marks: 6
(d)
(i)
State the magnitude of the gravitational potential at a point where the Earth’s gravitational effect is negligible.
[1]
(ii)
Calculate the gravitational potential difference between the Earth’s surface (from part b) and the point where the Earth’s gravitational effect is negligible
[3]
(iii)
Calculate the work done in taking the 5.0 kg mass from the surface of the Earth to the point where the Earth’s gravitational effect is negligible.