A child sits on a sled (50kg) on a snowy hill with an incline of 5 degrees. The coefficient of static friction is 0.05. What downward force must a parent apply parallel to the normal force, to prevent the child from sliding down the hill? (Answer: 366N)
The Attempt at a Solution
I drew out the problem on an x-y axis.
Fg(-y direction, x direction)
Fgx(-y, +x direction)
Looks like this ^ when mapped out. I then separated equations based on both directions
- Fn= 490N(cos5)
- Ffs= .05(488N)
- -Ffs+fg(sinθ)+fa= 0m/s^2
Fa= 67N ...... What did i do wrong here?