3 Diane pulls a sled at constant speed of 0.89408 m/s along a snowy path on leve

Question

3

Diane pulls a sled at constant speed of 0.89408 m/s along a snowy path on level ground. Diane's little brother Jasper is riding on the sled. The total mass of Jasper and the sled is 22.1 kg. The coefficient of friction on the sled is 0.1, and the cord makes a 20.6o angle with the ground.

Diane is wearing a bracelet which is capable of calculating the amount of work done by its wearer in term of the number of kilocalories (1 cal = 4.186 J, so 1 kcal =4186 J). The bracelet shows that Diane has done a work of 0.9 kcal pulling her brother in the sled.

How far along the path did Diane pull her brother?

********** 168.94m is not correct ************

CHEGG,

Please start with (show how you derive from) simple/basic formulas, and please clearly label and show ALL your work. Thank you!

Explanation / Answer

Here ,

let the distance pulled by diane is d

for constant velocity ,

the net force on the sled must be zero ,

T * cos(20.6) = 0.1 * (22.1 * 9.8 - T * sin(20.6))

solving for T

T = 22.3 N

the tension is 22.3 N

work done . W = 0.9 Kcal

W = 0.9 * 4186 J

W = 3767.4 J

Now , as work done = force * distance * cos(theta)

3767.4 = 22.3 * d * cos(20.6)

sovling for d

d =180.5 m

the distance pulled by her is 180.5 m

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