Mechanics 2 and 3 Flashcards

Uniform Circular Motion +Torque+ Work and Energy

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1
Q

Is centripetal force a physical force?

A

No it is not, it is the result of the net physical force. it does not change speed and acts inward. Does not change speed

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2
Q

What are the two changes in speed:

A

Ac=(v^2)/r

Fc=(mv^2)/r

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3
Q

If a car is going around a circular turn of 12m , and the frictional coefff. is 0.3, wha is the maximum speed at which the car can take the turn?

A
What force is keeping you in the circle? 
Static Friction (remember rolling is static) 

So what is the static friction in this problem?

(Us)(mg)=(mv^2)/r
cancel mass out
v=6

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4
Q

Centripetal force is another term for

A

net force that takes a “circular form”

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5
Q

In whole blood fractionation, in which blood is centrifuged to separate it into it’s component parts, how does distance d from the axis of rotation compare to centripetal force felt by an equal mass of plasma at distance d/2?

A

Ac=v^2/R

Fc=M(v^2)/R

make sure you account for change of radius on the change on the velocity.

After solving, you realize Fc is linearly related to distance from center. So 2 times greater radius=2 times greater force.

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6
Q

What is required to unscrew tight bolt?

A

Pull at at end of the lever,

proper angle

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7
Q

What is the formula for torque?

A

torque=rFsin (theta)

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8
Q

Is torque a vector?

A

Yes, but it’s easy to think of torque as rotation.

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9
Q

Torque is maximized when theta in sin(theta) is

A

90 degrees

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10
Q

If nothing is accelerating, net torque is:

A

zero

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11
Q

Two people are pushing on a 1m door, one is trying to open it, another is trying to close it. Guy opening is at 0.5 m, guy trying to close the door is at 1m. The door is motionless, so what force is the person trying to open door pushing?

A

you also have Force of wall against the guy opening the door in order to not have the door rip apart.

but since it is at the pivot, so the torque force is zero.

torque=r sin(theta) (Force)

rF (sin theta)=rF(sin theta)
(1)(50N)(1)=(0.5)(F)
F=100N

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12
Q

What is an alternate to the torque formula?

A

Torque=lF
l= shortest distance from the pivot to the line of action of force.

l=rsin(theta)

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13
Q

How do you keep track of two or more torques, how do you keep track of direction?

A

1) Locate the pivot

2) Then compare torques that at clockwise to those that act counterclockwise.

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14
Q

Ex) Suppose you go down a Sui Slide and your friend goes down a meandering slide, who gets to the bottom first?

Who is going fastest at the bottom?

Assume same initial height, final height, same initial speed.

A

Who is going fastest at the bottom?

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15
Q

What is the formula for Work?

A

work: Fdcos (theta)

Force must be constant and specified

units are newtons times meters =joules

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16
Q

Describe the sign of work:

A

Your force has a component which goes in the same direction as displacement

17
Q

Describe the work done by:

A

kinetic Friction:
negative

Centripetal Force:
No work

Normal Force:

No work (usually)

18
Q

Gravity is a ——- force

A

conservative force

19
Q

What does conservative force mean?

A

It means it only is concerned with the initial and final heights of the object, not the path the object follows.

20
Q

What is the formula for Work done by gravity?

A

Wg=mgh

21
Q

A tension force in a rope is 200N directed at 45 degrees above horizontal pulls a 50 kg crate to the right for 5 m. If Uk=0.2, find the work done by each of the forces acting on the object and the net work done on the object.

A

The overall forces on this block are Force of friction, and, tension force, Force of Gravity, and normal force.

Gravity and normal force presumably cancel each other out, as the block is neither crashing through the table or floating.

So network=work of the rope +work from Kinetic Friction+ work normal+work gravity

=340 overall.

22
Q

What does power mean?

A

Power is the rate at which work is done

23
Q

What are units of power?

A

Watts/ (kg m^2)/s^3

24
Q

For a constant force parallel to a constant velocity:

A

P=(W/t)=(Fd/t)=F(d/t)=F(v)

25
Q

What is kinetic energy?

is it scalar or vector?

A

It is the energy of motion

It is scalar

26
Q

What are the formula for kinetic energy?

A

It would be (0.5)(mv^2)

27
Q

How are work and kinetic energy related?

A

Work can be seen as the change in kinetic energy (final-initial)

28
Q

How much work do you need to stop a 1000kg car moving at 20m/s?

A

We know final kinetic energy is 0, so we have to solve for initial kinetic energy, and subtract form zero

29
Q

When calculating work done by gravity, what is important to keep in mind?

A

it is important to keep in mind gravity is a conservative force.