# Force on an Incline Plane Problem HELP

• whoopie88
In summary, the person's acceleration while skiing down a hill with a slope of 30° and a coefficient of friction of 0.20 is 102.14 m/s^2. This is found by using the equation mAnet = mgsin30 - μῦFn and substituting the values for Fn and Fnet. The correct solution should be positive 102.14 m/s^2.
whoopie88

## Homework Statement

A 63-kg person on skis is going down a hill sloped at 30° from the horizontal. The coefficient of friction between the skis and the snow is 0.20. What would be the magnitude of the acceleration?

f=ma
fg=mg
fnet=mAnet
Ff=μῦFn

## The Attempt at a Solution

I got -102.14, but I'm supposed to put it in as 102.14 right? Because the magnitude is the absolute value of whatever I get..? I found Fnet by subtracting Ff from Fg,x. I got 535.23 for Fn.

Thank you all!

Fn = Fg,y
Fn = mgcos30
Fn = 63(9.81)cos30
Fn = 535.23

Fnet = mgsin30 - μῦFn
mAnet = mgsin30 - μῦFn
Anet = gsin30 - μῦFn
Anet = 9.81sin30 - 0.2(535.23)
Anet = -102.14

And as I mentioned earlier, I changed it to positive 102.14.

mAnet = mgsin30 - μῦFn

The above equation should be

m*Anet = m*g*sin(30) - μ*m*g*cos(30)

Now solve for A.

Thank you for your help, I didn't realize m canceled out for the Fn formula until you showed me how I could use substitution. Thank you!

## What is the force on an incline plane?

The force on an incline plane is the amount of force that is acting upon an object that is placed on an inclined surface. This force is typically measured in units of Newtons (N), and it is influenced by the angle of the incline plane, the mass of the object, and the force of gravity.

## How do you calculate the force on an incline plane?

The force on an incline plane can be calculated using the formula F = mgsinθ, where F is the force, m is the mass of the object, g is the acceleration due to gravity (usually 9.8 m/s^2), and θ is the angle of the incline plane. This formula is derived from Newton's second law of motion, which states that force is equal to mass times acceleration.

## What are some examples of force on an incline plane in everyday life?

One example of force on an incline plane in everyday life is pushing a shopping cart up a ramp in a parking lot. The force required to move the cart up the ramp is the force on the incline plane. Another example is sliding down a slide at a playground, where the angle of the slide determines the force that pulls the person down.

## How does the angle of the incline plane affect the force?

The angle of the incline plane directly affects the force on the object. As the angle increases, the force required to move the object up the incline also increases. This is because the steeper the incline, the more the force of gravity is pulling the object down, making it harder to move up the incline.

## What other factors can affect the force on an incline plane?

Aside from the angle of the incline plane, the force on an object can also be affected by the mass of the object and the coefficient of friction between the object and the surface of the incline. A heavier object will require more force to move up the incline, and a higher coefficient of friction will make it more difficult to move the object up the incline.

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