A model train with a mass of #8 kg# is moving along a track at #16 (cm)/s#. If the curvature of the track changes from a radius of #48 cm# to #120 cm#, by how much must the centripetal force applied by the tracks change?
The centripetal force would decrease from 0.427 N to 0.171 N, a change of 0.256 N
Centripetal force required for a circular path is found from
First, we should get rid of the centimetres! Convert both to metres to avoid conversion factor errors.
When travelling at
On the track having the greater radius, less force is required (note the
So, the change is centripetal force is