# Tutor profile: Lauren S.

## Questions

### Subject: Physics (Newtonian Mechanics)

Given that George weighs 85 kg and can run 100 meters in 15 seconds how much force would he have if have to use to come to a dead stop once he runs the full 100 meters. Assume perfect conditions.

1) Identify the known equations and variables. F=ma F=force m=mass a=acceleration 2) Determine George's velocity at the 100 meter mark velocity = distance/time v=100/15 m/s = 6.66 m/s 3) Determine George's acceleration acceleration = (Delta)v/(Delta)t (Delta)v = vf - vi vf = 0 m/s vi = 6.66 m/s (Delta)t = tf - ti tf = 15 s ti = 0 s a = 6.66/15 = 0.44 m/s^s 4) Use the force equation to determine George's force after running 100 meters. F = 85*0.44 = 85.44 newtons

### Subject: Basic Math

Tell if the fraction on the left is less or greater than the fraction on the right. 2/3 or 2/5

Visual pie method: Draw two circles and divide one into three equal parts and one into five. For the circle with 3 section shade in 2 and for the circle with 5 sections shade in 2. The circle with more shaded area represents the larger fraction. By Common Denominator: In order to see which fraction is larger, the denominators should be made the same. The easiest way to do this is by multiplying them together. To find common denominator 3*5 = 15 To find fraction equivalents: 2*5 = 10, 2*3 = 6 Resulting fractions (10/15) and (6/15) The fraction with the larger numerator is greater.

### Subject: Algebra

If you are given the equation y = (9/12)x -10 what is the slope of the line and the coordinate of the y-intercept in the form (x,y).

1) You should first identify the formula for the equation given: Y=mx+b 2) Label each variable in the equation given to match the known formula for a linear equation. Y = y-coordinate, m = slope, x = x-coordinate, b = y-intercept 3) By identifying each variable you can correctly answer the promt. m = slope = (9/12), b = y-intercept = -10 Since the question asked for Y-intecept it measn that the value of coordinate x is 0. this means the coordinates of the y-intercept is (0,-10)

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