Force due to wind and rolling friction

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Homework Help Overview

The problem involves analyzing a graph that depicts the speed of a minivan coasting on a straight, level road while loaded with windsurfing equipment and towing a boat. Participants are tasked with finding the force due to wind and rolling friction at a specific speed of 49.27 mph, given the vehicle's mass of 2450 kg.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss converting speed units and drawing tangents to the graph to determine acceleration. Questions arise regarding the implications of negative acceleration on force and the selection of points for slope calculation.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between acceleration and force. Some guidance has been offered regarding the method of determining acceleration from the graph, but no consensus has been reached on the final calculations.

Contextual Notes

Participants note that the force calculated will be approximate due to reliance on graphical data rather than an exact equation. There is also mention of the potential for negative force values based on the acceleration determined from the graph.

bulldog23
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Homework Statement


The graph shows the speed as a function of time for a minivan, coasting on neutral along a straight, level road, loaded with windsurfing equipment and towing a boat.The total mass is 2450kg (weight = 5402lbs). Find the size of the force due to wind and rolling friction when the van speed is 49.27mph (1mph= 0.447m/s).
prob09a_1004minivan.gif



Homework Equations


delta v/delta t=a
F=ma


The Attempt at a Solution


I converted the mph to m/s, and I drew a line tangent to the point on the graph where the speed is 49.27 mph. I just can't seem to get the numbers right for some reason. Can someone help me out?
 
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bulldog23 said:

Homework Statement


The graph shows the speed as a function of time for a minivan, coasting on neutral along a straight, level road, loaded with windsurfing equipment and towing a boat.The total mass is 2450kg (weight = 5402lbs). Find the size of the force due to wind and rolling friction when the van speed is 49.27mph (1mph= 0.447m/s).
prob09a_1004minivan.gif



Homework Equations


delta v/delta t=a
F=ma


The Attempt at a Solution


I converted the mph to m/s, and I drew a line tangent to the point on the graph where the speed is 49.27 mph. I just can't seem to get the numbers right for some reason. Can someone help me out?
When you drew the tangent, what did you conclude about the acceleration at that point?
 
The acceleration is negative, right. So doesn't that make the force negative? The van reaches 49.27 mph at 11 sec. So what other point should I use to find the slope?
 
bulldog23 said:
The acceleration is negative, right. So doesn't that make the force negative? The van reaches 49.27 mph at 11 sec. So what other point should I use to find the slope?
Draw the tangent as best you can, acros the whole graph, and see what the slope is by choosing any 2 convenient points to determine the approximate acceleration ( change in v/change in t) between those points. Yes, the force will be negative.
 
Then once I get the acceleration, I just multiply by 2450 kg?
 
alright, I got it, thanks!
 
bulldog23 said:
Then once I get the acceleration, I just multiply by 2450 kg?
Yes, that should do it. Your answer will be approximate because you're just scaling from the graph, unless you were given the exact equation for the graph.
 

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