As an inquisitive physics student $($who$$s instructor will completely disavow any part of this$)$ you decide to

ride a roller coaster while sitting on a bathroom scale $($Really$...$ don$$t try this. $..$ you or someone else could

be fatally injured. $..$ I am deadly serious!$).$ The bottom of the seat is parallel to the tracks. When the car

is horizontal, you lift your feet and find that the scale reads $100$ kg$.$ At another point in the ride, the car

is careening down the track with negligible friction at a slope of $30$ below the horizontal. What does the

scale read at that point when you lift your feet?