Finding speed of a object on slope

In summary: MG, in summary, a 42.5kg person is skiing down a 42.0 degree hill with a coefficient of kinetic friction of 0.180. After 4.56 seconds, the person's speed is 6.06m/s. The forces acting on the skier are the person's weight, the normal force from the hill, and the friction force between the skis and snow. The direction of the weight and normal force is perpendicular to the slope of the hill, while the direction of the friction force is parallel to the slope. The net force causing the skier's acceleration is the difference between the weight and the friction force. Using the equation fnet=ma, the acceleration can be calculated, and using
  • #1
thewestbrew
2
0

Homework Statement



A 42.5kg person is going down a hill sloped at 42.0 degrees.

The coefficient of kinetic friction between the snow and skis is 0.180.

How fast is the skier going 4.56 seconds after starting from rest?



Homework Equations



ffkmax=coefficient of kinetic friction*Normal Force

fnet=mass*a

mg*cos(42)

mg*sin(42)


The Attempt at a Solution



mg=425

mg*cos(42)=315.8

Fn=mg*cos

ffkmax=(.18)(315.8)=56.8

ffkmax=netforce (no idea from this point on)

fnet=ma 56.8/m=a 56.8N/42.5kg= 1.33ms/^2

V=Vo+a*t

V=(0)+(1.33)(4.56)=6.06m/s
 
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  • #2
thewestbrew said:

Homework Statement



A 42.5kg person is going down a hill sloped at 42.0 degrees.

The coefficient of kinetic friction between the snow and skis is 0.180.

How fast is the skier going 4.56 seconds after starting from rest?

Homework Equations



ffkmax=coefficient of kinetic friction*Normal Force

fnet=mass*a

mg*cos(42)

mg*sin(42)

The Attempt at a Solution



mg=425

mg*cos(42)=315.8

Fn=mg*cos

ffkmax=(.18)(315.8)=56.8

ffkmax=netforce (no idea from this point on)

fnet=ma 56.8/m=a 56.8N/42.5kg= 1.33ms/^2

V=Vo+a*t

V=(0)+(1.33)(4.56)=6.06m/s

What are the forces acting on the skier? What are the directions of these forces?

You seem to be saying that the friction force is the net force that is accelerating the skier down the hill!

AM
 

Related to Finding speed of a object on slope

1. How do I calculate the speed of an object on a slope?

To calculate the speed of an object on a slope, you need to know the distance traveled and the time it took to travel that distance. You can then use the formula speed = distance / time to find the speed of the object.

2. Is the speed of an object on a slope different from its speed on a flat surface?

Yes, the speed of an object on a slope is different from its speed on a flat surface. This is because the slope adds an additional force, gravity, which affects the speed of the object.

3. What are the factors that affect the speed of an object on a slope?

The factors that affect the speed of an object on a slope include the angle of the slope, the mass of the object, and the force of gravity. Other factors such as friction and air resistance may also have an impact on the speed of the object.

4. Can the speed of an object on a slope ever be greater than its speed on a flat surface?

Yes, the speed of an object on a slope can be greater than its speed on a flat surface if the angle of the slope is steep enough. This is because gravity will act on the object with a greater force, causing it to accelerate and increase its speed.

5. How can I use the speed of an object on a slope in real-life situations?

The speed of an object on a slope can be used in various real-life situations, such as calculating the speed of a roller coaster on a steep drop, determining the speed of a car going up or down a hill, or understanding the speed of a skier going down a slope. It can also be applied in sports, such as determining the speed of a skateboarder going down a ramp.

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