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Gravitational Force and Field · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

The distance between two point masses is tripled. The gravitational force between them becomes

2

A mango falls from a tree. The force of the mango on the Earth is

3

A \(4\,\text{kg}\) mass is at \(x = 0\) and a \(9\,\text{kg}\) mass at \(x = 4\,\text{m}\). A \(1\,\text{kg}\) mass is placed at \(x = 1\,\text{m}\). The net gravitational force on it is

4

Four equal masses sit at the corners of a square. A fifth mass is placed at the centre of the square. The net gravitational force on the fifth mass is

5

Two masses \(m\) and \(9m\) are a distance \(d\) apart. The net gravitational field is zero at a point on the line between them, at a distance from \(m\) of

6

A test mass moves along the axis of a uniform ring of radius \(R\), starting at its centre. The field on it is greatest at a distance from the centre of

7

A small body is placed inside a uniform hollow sphere, away from its centre. The gravitational field of the sphere there is

8

Take \(g = 9.8\,\text{m/s}^2\) at the Earth's surface. At a height equal to the Earth's radius, \(g\) is

9

Treat the Earth as a uniform sphere with \(g = 9.8\,\text{m/s}^2\) at its surface. Halfway from the surface to the centre, \(g\) is

10

The Earth's spin does not change the effective value of \(g\)