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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.

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

1

A ball is thrown up. While it rises \(2\,\text{m}\), gravity does \(-20\,\text{J}\) of work on it. The change in potential energy of the ball and the Earth is

2

A \(2\,\text{kg}\) stone falls from a ledge \(5\,\text{m}\) above the ground into a pit \(1\,\text{m}\) below the ground. Take \(g = 10\,\text{m/s}^2\). The change in its potential energy is

3

A spring of constant \(400\,\text{N/m}\) is compressed by \(5\,\text{cm}\). The energy stored in it is

4

A spring of constant \(k\) is cut into three equal pieces. The spring constant of one piece is

5

Which of these forces has no potential energy?

6

A stone is thrown at \(10\,\text{m/s}\) from a tower \(15\,\text{m}\) high, in some direction. Ignore air resistance and take \(g = 10\,\text{m/s}^2\). Its speed on reaching the ground is

7

A \(1\,\text{kg}\) block slides at \(6\,\text{m/s}\) on a floor with \(\mu_k = 0.3\). Take \(g = 10\,\text{m/s}^2\). The distance it slides before stopping is

8

A particle has potential energy \(U = 3x^2\), with \(U\) in joules and \(x\) in metres. The force on it at \(x = 2\,\text{m}\) is

9

On an energy diagram, the total-energy line meets the potential energy curve at a point. There the particle

10

A particle rests at a maximum of its potential energy curve \(U(x)\). It is in