# Tutor profile: Morgan P.

## Questions

### Subject: Physics (Newtonian Mechanics)

You make a curve in a car traveling 10 m/s. The radius of the curve is 10 m. If you and the car have a mass of 3000 kg, what is the frictional force required between the tires and the ground to keep you from sliding off the road?

You are moving in a circle, so you must have some acceleration caused by a centripetal force. Centripetal force = $$\frac{ m* v^{2}} {r}$$. Plugging in our know information we get Centripetal force = $$\frac{ 3000* 10^{2}} {10}$$. This computes to 30,000 N.

### Subject: Pre-Algebra

If 3x +3 = 9, then 4x + 6 = ?

Using the given equation we subtract 3 from both sides to get 3x = 6. Then, we divide each side of the equation by 3 in order to isolate the variable x. We get x = 2. now we can plug in 2 for x on the second equation. We get 4(2) + 6 = 14.

### Subject: Basic Math

There is a bag of 23 marbles. Three are blue, 10 are red, and 10 are pink. What is the probability that you take out two blue marbles in a row?

The chances of taking out the first blue marble are 3/23. The chances of the second blue marble being drawn are 2/22 because one marble is now gone. 2/22 reduces to 1/11. From the rules of probability we know to multiply these two chances as 3/23 *1/11 = 3/253.

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