When rolling a shape down a hill, what equations should you use to get the speed at the bottom?

E(i)=E(f). So Ug(i) = K(rot) + K(trans). And recall that v = sigma * r

What is important to remember when considering net torque? How might it be phrased in a problem?

It is the sum of all of the forces, taking sign into account (clockwise vs counterclockwise). It may be phrased as the force needed to maintain static equilibrium.

What equations are important to remember for a vehicle turning a curve, and whether it can stay on the path?

F(centripetal) = f(static). Use Fc = (mv^2)/r, f = (mu)mg

How do you calculate percent? (ex: 5% of 234)

Multiply the two numbers and then move the decimal over two times. Ex 5 * 234 = 1170, answer is 11.7

What equations are important to know for a merry go round?

"I" initial * (sigma)initial= "I" final * (sigma)final AKA Ii*wi = If*wf. Recall that I = sum of mr^2, including the merry go round

What does L represent? What are its equations?

L is angular momentum. Equations are L = I * sigma, or L = r * p * sin(theta) -- where p=mv

What equations are important to know for sliding physics?

k(final)-k(initial) = W = F*d. Friction = (mu)mg. So, kfinal - kinitial = -(mu)mg. Recall that k = 1/2mv^2.

What equations are important to know for a bullet/block problem?

Sliding physics, and (for b=bullet, a=block) ...m(bullet)*mv(bullet initial) = m(bullet)*v

What is the difference between elastic and inelastic collisions?

Inelastic-- they stick together. Elastic-- they bounce off of each other.

What equations are important to remember for collisions?

p(initial)=p(final), and p=mv. If it's elastic, p(final of A) = -p(final of B). If inelastic, p(final of A) = p(final of A) + p(final of B)

What is the equation for tangential velocity? What kind of problem might it be useful for?

Vt = (sigma)*r ... Useful for instance, when determining the speed at the top of a blade of a wind turbine.

How should you approach a torque equation that asks how far someone can go on a board or ladder (for instance) before it tips?

Get the sum of of all the forces, and then sum of torques. Recall F can be tension, weight, friction, normal, etc. And the radius is where everything is; you're trying to find the radius of whoever is moving along the board when the net force is 0.

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physics 6a final

Question	Answer
What is the equation for work?	w = Fdcos(theta)
When rolling a shape down a hill, what equations should you use to get the speed at the bottom?	E(i)=E(f). So Ug(i) = K(rot) + K(trans). And recall that v = sigma * r
What is important to remember when considering net torque? How might it be phrased in a problem?	It is the sum of all of the forces, taking sign into account (clockwise vs counterclockwise). It may be phrased as the force needed to maintain static equilibrium.
What equations are important to remember for a vehicle turning a curve, and whether it can stay on the path?	F(centripetal) = f(static). Use Fc = (mv^2)/r, f = (mu)mg
How do you calculate percent? (ex: 5% of 234)	Multiply the two numbers and then move the decimal over two times. Ex 5 * 234 = 1170, answer is 11.7
What does sigma (funny w) represent?	Angular velocity
What equations are important to know for a merry go round?	"I" initial * (sigma)initial= "I" final * (sigma)final AKA Iiwi = Ifwf. Recall that I = sum of mr^2, including the merry go round
What does "I" represent?	Moment of inertia
What does L represent? What are its equations?	L is angular momentum. Equations are L = I * sigma, or L = r * p * sin(theta) -- where p=mv
What does p represent?	p is momentum. p=mv
What equations are important to know for sliding physics?	k(final)-k(initial) = W = F*d. Friction = (mu)mg. So, kfinal - kinitial = -(mu)mg. Recall that k = 1/2mv^2.
What equations are important to know for a bullet/block problem?	Sliding physics, and (for b=bullet, a=block) ...m(bullet)mv(bullet initial) = m(bullet)v
What is the difference between elastic and inelastic collisions?	Inelastic-- they stick together. Elastic-- they bounce off of each other.
What equations are important to remember for collisions?	p(initial)=p(final), and p=mv. If it's elastic, p(final of A) = -p(final of B). If inelastic, p(final of A) = p(final of A) + p(final of B)
What is the equation for tangential velocity? What kind of problem might it be useful for?	Vt = (sigma)*r ... Useful for instance, when determining the speed at the top of a blade of a wind turbine.
What are the units for sigma?	rad/sec or rev/sec etc
How should you approach a torque equation that asks how far someone can go on a board or ladder (for instance) before it tips?	Get the sum of of all the forces, and then sum of torques. Recall F can be tension, weight, friction, normal, etc. And the radius is where everything is; you're trying to find the radius of whoever is moving along the board when the net force is 0.

Created by: clownestate

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