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Momentum and Its Conservation · 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 momentum of a body along a line is \(p = 3t^2 + 2\), with \(p\) in kg m/s and \(t\) in seconds. The net force on it at \(t = 1\,\text{s}\) is

2

A \(2\,\text{kg}\) ball moves east at \(3\,\text{m/s}\), and another \(2\,\text{kg}\) ball moves north at \(3\,\text{m/s}\). The size of their total momentum is about

3

Blocks of \(1\,\text{kg}\) and \(3\,\text{kg}\), joined by a spring, lie on a smooth floor. A steady \(8\,\text{N}\) force pulls one of them. The acceleration of their centre of mass is

4

Blocks of \(2\,\text{kg}\) and \(6\,\text{kg}\) rest on a smooth floor and are pushed apart by a spring. The \(6\,\text{kg}\) block moves off at \(1\,\text{m/s}\). The \(2\,\text{kg}\) block moves at

5

A shell bursts in mid-air while gravity acts on it. Its momentum is conserved across the burst because

6

A \(3\,\text{kg}\) gun fires a \(15\,\text{g}\) bullet at \(600\,\text{m/s}\). The recoil speed of the gun is

7

A \(40\,\text{kg}\) child runs off the back of an \(80\,\text{kg}\) cart at rest on a smooth floor, at \(3\,\text{m/s}\) relative to the cart. The child's speed over the floor is

8

A block slides down a smooth wedge that stands free on a smooth floor. For the block and the wedge together,

9

A rocket in free space starts from rest with an exhaust speed of \(2000\,\text{m/s}\). When it has burnt half its starting mass, its speed is about

10

A uniform chain of weight \(W\) is released with its lower end just touching a table. Just before its last link lands, the table pushes up with