Question

In a recent study of how mice negotiate turns, the mice ran around a circular 90∘ turn on a track with a radius of 0.10 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this turn was 1.39 m/s. Part A What is the minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed?

Answer 1

The minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed without sleeping is 1.97.

Minimum coefficient of friction

The minimum coefficient of friction is calculated as follows;

F = μmg = mac

μmg = mac

where;

• ac is centripetal acceleration

μg = ac

μg = v²/r

μ = v²/rg

where;

• μ is the minimum coefficient of friction
• v is velocity
• r is radius of the path
• g is acceleration due to gravity

μ = (1.39²)/(0.1 x 9.8)

μ = 1.97

Thus, the minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed without sleeping is 1.97.

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