Physics:

Kinematics

Andy

Onorato

Grade:12

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Kinematics equation 1

Kinematics equation 2

Kinematics equation 3

Force of Gravity

Normal Force

Force Equation

Tension Force

Frictional Force

Kinematics Equation 1

The first kinematics equation is v = v

0

+ at.

This equations states that the speed of an object can be

determined by first multiplying the acceleration by how

long the object is traveling and then adding that speed

to the initial speed of the object.

Example: A car that starts at rest accelerates uniformly for 5

sec at 3m/s

2

, how fast is the car going after that 5 sec?

v

= v

0

+

at

v = 0 + (3)(5)

v = 15m/s

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Kinematics Equation

2

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The second kinematics equation is v

2

= v

0

2

+ 2ax.

This equations states that the speed squared of an object

can be determined by first multiplying the acceleration

and the distance traveled of an object by 2, and then

adding that speed to the initial speed squared of the

object.

Example: A boy is standing on the top of the bleachers with a

super ball. He throws the ball straight at the ground at an initial

speed of 5m/s. The bleachers are 30m tall and the acceleration

due to gravity is 10m/s

2

. At what speed does the ball strike the

ground?

v

2

= v

0

2

+

2ax

v

2

=

(5)

2

+

2(10)(30)

v

2

=

625m/s

v = 25m/s

Kinematics Equation

3

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The third kinematics equation is x = v

0

t + ½at

2

.

This equations states that the distance an object travels

can be determined by first multiplying the initial speed

by how long the object travels at that speed. Then add

that amount to ½ the acceleration multiplied by the time

squared.

Example: A girl is jogging at a constant speed of 2m/s. For 6

sec she accelerates at a rate of 1 m/s

2

. How far does she travel

during her time of acceleration.

x

= v

0

t + ½

at

2

x = (2)(6) + ½(1)(6)

2

x = 12 + 18

x = 30m

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Force Equation

The equation we can use to find the force is Force equals the

mass multiplied by the acceleration. So if a 400g object is

accelerating at a constant of 5m/s

2

, how much force does the

object have?

F = ma

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Force of Gravity

The force of gravity is the amount of force the object feels

from gravity. It can be found by multiplying the mass times

the acceleration due to gravity (9.8m/s

2

)

F

g

= mg

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Normal Force

the

normal force

(F

N

)

is the component, that keeps an object

from pushing through another

surface. For

example,

the surface

of a floor or wall, preventing the object from penetrating the

surface.

Tension Force

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The tension

is the pulling force exerted by a string, cable,

chain,

etc

on

another

object.

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Frictional Force

Friction is the

force resisting

the relative motion of solid surfaces, fluid layers,

and material elements sliding against each other.

How fast does a ball hit

the ground when dropped

from a 20m building?

392 m/s

2

19.8 m/s

10 m/s

2

50 m/s

2

Congratulations!!

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problem

Hang in there.

You can do it!

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problem

Complete the problem and then

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Physics Problem

Note that the tension force

on each of the blocks is

of the same magnitude. If

the large block (5g)

feels a force of 10 N,

and the small block weighs

3 g, What force is exerted on the smaller block?

Answer

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answered correctly

Large Block

F = ma

10 = (5)a

a = 2 m/s

2

Small Block

F = ma

F = (3)(2)

F = 6 N

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