- #1
Trevormbarker
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Homework Statement
An adult swimmer is pulling to small children on a tobaggen over level snow. The total wieght including the children of the tobaggen is 47kg. The tobaggen rope makes an angel of 23dgrs with the horizontal. The coefficient of kinetic friction is 0.11. Calculate the magnitude of the tension in the rope needed to keep the sleigh moving at a constant velocity. (hint: normal force does not equal gravitational in magnitude).
Homework Equations
f=ma
ff=(mew)(forcenormal)
The Attempt at a Solution
Okay so I drew a fbd of the 47kg object simplified as a box. for I calculated Fg. (9.8x47) = 460.6N. I drew the Fa force on a angle at 23 degrees.I used trig to and found that the ratio of the force applied going away at the horrizontal to the force applied going away at 23dgrs is 0.92:1
Since uniform velocity means horrizontal forces are equal in magnitude opposite in direction I multiplied G by 0.92 to get Fn then by 0.11 to get Ff. Then I devided by 0.92 to get the magnitude if the force was 23 dgrs off of horizontal. I got 50.66N the answer says 53. I am not sure if I am totally off, If the answer is correct we just rounded diffenerently or if the teacher used 10 for g instead of 9.8 I thnk I may be worng because I never used the weight of the tobaggen. Any help is much appreciated