Brandon is pulling a desk to the right with a force of 26.00 N. The force of friction to the left is 3.00 N.
1 answer:
Step-by-step explanation:
first and foremost start off with a proper FBD (I drew in the forces and acceleration just to refer back to it quicker, assume right and up are positive)
a) F net = Forces aiding the movement - forces opposing
if the box is sliding to the right then we've got
Fnet = 26 + (-3)
[notice how I wrote that they're both being added because they're vector forces]
Fnet = 23 N
b) using Newton's second law of motion, F = ma, we can find the mass
Fnet = ma
rearrange for mass
M = Fnet/a
M = 23 N / 2.0 ms^-2
M = 11.5 Kg
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Answer:
To purchase 700 business cards, Jamie needs to pay $43.
Step-by-step explanation:
We are given that Jamie ordered 200 business cards and paid $23 in total.
We are also given that Jamie ordered 500 business cards and paid $35.
We can use the rate of change formula to find the average change.
This can also be represented with:
Therefore, we need to identify our variables.
In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.
- The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
- The dependent variable is the variable that adjusts based on the changes made to the independent variable.
We change the amount of business cards that are purchased, which in turn, changes the price.
The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.
Therefore, if we use the coordinate system:
- (200, 23)
- (500, 35)
Now, we can name our coordinates. We use this system:
- (x₁, y₁)
- (x₂, y₂)
This means that we can name our points:
- x₁ = 200
- y₁ = 23
- x₂ = 500
- y₂ = 35
Revisiting the rate of change formula, we can insert these values.
Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.
The slope-intercept equation is:
We already know m:
We also know x and y (we take them from of the coordinate pairs):
Now, we can substitute these values into the equation and solve for b.
Now, we can set up our linear equation.
Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.
Therefore, the price of 700 business cards is equal to $43.