A.) To find the equation that relates the force needed to drag a person across the floor and their weight, you can use the data given about Manuel pulling Gil and his brother.
Let F be the force needed to drag a person and W be their weight. As you mentioned, the relationship is of the form:
F = k * W
Now, plug in the data from the problem into the equation. For Gil:
51 pounds = k * (weight of Gil)
For Nick:
102 pounds = k * (2 * (weight of Gil)) [since Nick weighs twice as much as Gil]
Now you have a system of two equations:
1) 51 = k * W_Gil
2) 102 = k * (2 * W_Gil)
You can use these equations to solve for k and the weight of Gil.
First, divide equation (2) by 2:
(2) 51 = k * W_Gil
Now, both equation (1) and (2) are essentially the same:
51 = k * W_Gil
So, the force needed to drag a person across the floor is directly proportional to their weight, with a constant factor of 1 (k=1). In other words, the force needed is equal to the person's weight. The equation is:
F = W
In this math class, the force is measured in pounds instead of Newtons, but the relationship still holds. The force needed to drag a person across the floor is equal to their weight, regardless of the units used for force and weight.
The force needed to overcome friction and drag a person across the floor depends on the person's weight. Manuel Dexterity can drag Gil O' Teen across the floor by pulling with a force of 51 pounds. Gil's brother, Nick who weighs twice as much can be dragged across the floor by pulling with a force of 102 pounds.
A.) How does force cary with the person's weight?
How do I come up with the equation? I don't know how to do this... it's something link
Y=kX or something of the sort...
This stupid math class expects us to use pounds for force instead of newtons
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