Answer:
0.12
Explanation:
The coefficient of static force is the frictional force between two objects which are static.
The net force on the cart is the component of its gravitational force (weight) minus the frictional force. Therefore to prevent the cart from sliding down the track, the frictional force and gravitational force must be equal.
frictional force = gravitational force
[tex]\mu* mgcos\theta=mgsin\theta\\\\m=mass,g=acceleration\ due\ to\ gravity,\mu=coefficient\ of\ static\ friction,\theta=angle\ with\ horizontal\\\\\mu* mgcos\theta=mgsin\theta\\\\\mu=\frac{mgsin\theta}{mgcos\theta} \\\\\mu=tan\theta=tan(7\\\\\mu=0.12[/tex]
