# physics

A sled and rider have a total mass of 58.4 kg. They are on a snowy hill accelerating at 0.4g. The coefficient of kinetic friction between the sled and the snow is 0.17. What is the angle of the hill's slope measured upward from the horizontal? You may find a spreadsheet program helpful in answering this question. Can somebody shows me how to get to the answer key? The answer key is 32.9degree

1. Net force down the hill: F=ma and those are given.
force friction:=mg*mu*sinTheta
net force=ma=mg*cosTheta-mg*mu*sinTheta

so you have to solve
acceleration=g*cosTheta-g*mu*sinTheta or
a/g= cosTheta-mu*sinTheta
You can do this with a spreadsheet, or calculator, or iteration until you zero into the solution.
For a spreadsheet, column 1 angle, then for column two, use this for formula:
cosTheta-mu*sinTheta-a/g
as you vary theta, when column two becomes zero, you have a solution. On many calculators, you can also do the same thing. Yes, you know mu, a, and g. If you have a spreadsheet, use that, and you may have to use the Theta in radians, if so, add a third column converting to degrees.

posted by bobpursley

First Name

## Similar Questions

1. ### physics

A sled and rider have a total mass of 57.2 kg. They are on a snowy hill accelerating at 0.5g. The coefficient of kinetic friction between the sled and the snow is 0.20. What is the angle of the hill's slope measured upward from
2. ### physics

A sled and rider have a total mass of 58.4 kg. They are on a snowy hill accelerating at 0.4g. The coefficient of kinetic friction between the sled and the snow is 0.17. What is the angle of the hill's slope measured upward from
3. ### Physics

A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in the figure, with h = 3.9 m and θ = 11°. The total mass of the sled and the girl is 35 kg and the coefficient of kinetic
4. ### physics

A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in the figure, with h = 3.4 m and θ = 14°. The total mass of the sled and the girl is 35 kg and the coefficient of kinetic
5. ### Physic

A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in the figure, with h = 3.7 m and θ = 18°. The total mass of the sled and the girl is 35 kg and the coefficient of kinetic
6. ### Physics

A man pulls a 25kg sled a distance of 80 meters across a flat, snowy surface. He holds the handle of the sled at an angle of 30degrees with the ground. How much work does he do on the sled against the force of friction?(Assume the
7. ### Physics

A man pulls a 25kg sled a distance of 80 meters across a flat, snowy surface. He holds the handle of the sled at an angle of 30degrees with the ground. How much work does he do on the sled against the force of friction?(Assume the
8. ### Physics

A man pulls a 25kg sled a distance of 80 meters across a flat, snowy surface. He holds the handle of the sled at an angle of 30degrees with the ground. How much work does he do on the sled against the force of friction?(Assume the
9. ### physics

You and your friend are sledding on two sides of a triangle-shaped hill. On your side, the hill slopes up at 30.0° from the horizontal; on your friend's side, it slopes down at the same angle. You do not want to climb up the
10. ### Physics

You and your friend are sledding on two sides of a triangle-shaped hill. On your side, the hill slopes up at 30.0° from the horizontal; on your friend's side, it slopes down at the same angle. You do not want to climb up the

More Similar Questions