Horizontal force is needed to pull the sled

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Homework Help Overview

The problem involves calculating the horizontal force required to pull a sled with additional weight at a constant velocity on a horizontal surface. The sled initially weighs 12 kg, and the scenario changes with two girls, each weighing 57 kg, sitting in it.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss drawing free body diagrams and analyzing forces in equilibrium. There are attempts to calculate the coefficient of friction and the effects of added mass on the required pulling force. Questions about the correctness of calculations and assumptions are raised.

Discussion Status

The discussion includes various calculations and interpretations of forces acting on the sled. Some participants offer guidance on how to approach the problem, while others question the accuracy of the results and the assumptions made regarding friction and mass.

Contextual Notes

Participants are working under the assumption that the sled moves at a constant velocity, which implies that the net force is zero. There is also a focus on the coefficient of friction and how it relates to the forces involved.

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A 12 kg sled is pulled along at a constant velocity on a horizintal surface by a horizontal force of 11N. How much horizontal force is needed to pull the sled at a constant velocity it two 57 kg girls are sitting in it?
How would I go about solving this?
Thanks, Amanda
 
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Draw a free body diagram for the first case. Notice that the sled is in equilibrim because it is moving at a constant velocity. Therefore, all forces sum up to zero. Then, it is possible to figure out the coefficient of friction, which is used to solve the problem.
 
Is the answer 116 N?
 
Total mass = 12kg
Force of Gravity = 12x9.8 = 117.6N
Normal force = -Fg = -117.6N

Net vertical Force = Force of Gravity + Normal force = 117.6 + (-117.6) = 0N
Net Horizontal Force = Pull force + Friction force = 11N + (mu_k)*N = 0N since velocity is constant, there is no acceleration.

11 - mu_k*117.6 = 0
-117.6mu_k = -11

mu_k = -11/-117.6 = 0.1

New mass is 12+2x57 = 126kg
Gravity Force = - Normal force = 1234.8N
Fy = 0
Fx = Pull force + Friction Force = 0
Friction force = mu_k * N = 123.4N
Pull force + 123.4 = 0
Pull force = -123.4N.

The negative sign just means its in the opposite direction of the friction force.

*Editted for new mass
 
Last edited:
whozum said:
Total mass = 12kg
Force of Gravity = 12x9.8 = 117.6N
Normal force = -Fg = -117.6N

Net vertical Force = Force of Gravity + Normal force = 117.6 + (-117.6) = 0N
Net Horizontal Force = Pull force + Friction force = 11N + (mu_k)*N = 0N since velocity is constant, there is no acceleration.

11 - mu_k*117.6 = 0
-1136mu_k = -11

mu_k = -11/-117.6 = 0.1

New mass is 12+2x57 = 116kg
Gravity Force = - Normal force = 1136.8N
Fy = 0
Fx = Pull force + Friction Force = 0
Friction force = mu_k * N = 113.7N
Pull force + 113.7 = 0
Pull force = -113.7N.

The negative sign just means its in the opposite direction of the friction force.
New mass is 126kg.
 

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