# Pulling a Sled & Box up a Snowy Hill

• Wommbatt
In summary, at 19kg and 9.80m/s2, 153N is the tension in the rope. When the tension reaches 30kg, the tension is 153N + (30kg*9.80m/s2) = 180N. There is minimal friction, so the sled will continue moving up the slope at a constant speed.

## Homework Statement

A rope attached to a 19.0kg wood sled pulls the sled up a 22.0 degree snow-covered hill. A 11.0 kg wood box rides on top of the sled.

## Homework Equations

I have no what the equation may be, I was just doing some research and came across this website plus others and didn't give the formula just some numbers strung together but I attempted it below but I do not know if it is right. My problem also didn't give me the co-efficients of snow on snow and wood on wood so I also took these from previous problems I found on the internet I'm not sure if they are always constant or not.

## The Attempt at a Solution

(19kg+11kg)(9.80m/s2)(0.5+0.06)cos22degrees)
(30kg)(9.80m/s2)(0.56)cos22degrees
=153N

Wommbatt said:

## Homework Statement

A rope attached to a 19.0kg wood sled pulls the sled up a 22.0 degree snow-covered hill. A 11.0 kg wood box rides on top of the sled.

## Homework Equations

I have no what the equation may be, I was just doing some research and came across this website plus others and didn't give the formula just some numbers strung together but I attempted it below but I do not know if it is right. My problem also didn't give me the co-efficients of snow on snow and wood on wood so I also took these from previous problems I found on the internet I'm not sure if they are always constant or not.

## The Attempt at a Solution

(19kg+11kg)(9.80m/s2)(0.5+0.06)cos22degrees)
(30kg)(9.80m/s2)(0.56)cos22degrees
=153N

No part of this post refers to what you are trying to calculate?

I'm trying to calculate the tension.

Wommbatt said:
I'm trying to calculate the tension.

You have not given enough information.

Is the rope parallel to the slope?

Is the sled accelerating or moving at constant speed?

And yes, is there any friction? - it should be minimal, that is why we use a sled on snow.

Wommbatt said:
I'm trying to calculate the tension.