4 A cyclist in a road race is travelling around a bend on a horizontal circular path of radius 15 metres and is prevented from skidding by a frictional force.
The frictional force has a maximum value of 500 newtons.
The total mass of the cyclist and his cycle is 75 kg
Assume that the cyclist travels at a constant speed.
4
- Work out the greatest speed, in \(\mathrm { km } \mathrm { h } ^ { - 1 }\), at which the cyclist can travel around the bend.
4 - With reference to the surface of the road, describe one limitation of the model.
\(5 \quad\) A ball is thrown vertically upwards with speed \(u\) so that at time \(t\) its displacement \(s\) is given by the formula
$$s = u t - \frac { g t ^ { 2 } } { 2 }$$
Use dimensional analysis to show that this formula is dimensionally consistent.
Fully justify your answer.
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