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topic here. Gravity. Centripetal Force. Circular Motion. Roller Coasters. Physics is Phun!. Gravity. Centripetal. Circular. Coasters. Physics is Phun!. 5 pt. 5 pt. 5 pt. 5 pt. 5 pt. 10 pt. 10 pt. 10 pt. 10 pt. 10 pt. 15 pt. 15 pt. 15 pt. 15 pt. 15 pt. 20 pt. 20 pt. - PowerPoint PPT Presentation

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25 pt.

5 pt.

10 pt.15 pt.20 pt.

25 pt.

5 pt.

10 pt.15 pt.20 pt.

25 pt.

5 pt.

10 pt.15 pt.20 pt.

25 pt.

5 pt.

10 pt.15 pt.20 pt.

25 pt.

5 pt.

10 pt.15 pt.20 pt.

At the top of its flight, a projectile has an acceleration

of…?

9.8 m/s2 - Downward(or -9.8 m/s2)

At the top of its flight, a projectile has an acceleration

of…?

An object with a mass of 23kg has a weight of what?

230 N

(or 225.4 N)

An object with a mass of 23kg has a weight of what?

What is the value of G?

What is the value of G?

6.67 E-11 Nm2kg2

What is the value of g on a planet with a mass of 4 E23 kg and a diameter of

8,000 km?

What is the value of g on a planet with a mass of 4 E23 kg and a diameter of

8,000 km?

g = G m/r2

g = 6.67 E-11 Nm2kg2 * 4 E23 kg(4,000,000 m)2

g = 1.67 m/s2

An astronaut weighs 700N on Earth. If the astronaut weighs 200N on another planet, which has a radius of 5000 km,

what is the mass of the planet?

mastronaut = 70 kgFg = 200 N = Gm1m2/r2

200N = 6.67 E-11 * 70kg * mplanet

(5,000,000 m)2

mplanet = 1.07 E 24 kg

An astronaut weighs 700N on Earth. If the astronaut weighs 200N on another planet, which has a radius of 5000 km,

what is the mass of the planet?

What is the equation for Centripetal Force?

What is the equation for Centripetal Force?

Fc = mv2 / r

What is the equation for Centripetal Acceleration?

What is the equation for Centripetal Acceleration?

ac = v2 / r

2-15A 1000kg race car goes around a 200m diameter track at 50m/s. How much frictional force is needed to prevent

skidding?

Fc = mv2 / r

Ff = 1000kg*(50m/s)2 / 100m

Ff = 25,000 N

2-15AA 1000kg race car goes around a 200m diameter track at 50m/s. How much frictional force is needed to prevent

skidding?

2-20A race car goes around a 100m diameter track at 100m/s. What coefficient of

friction is needed to prevent skidding? Is this Static, or Kinetic friction?

Ff = mv2 / r FN = mgμ = Ff / FN

μ = (mv2/r)/(mg) = v2/rgμ = 20 .. Static

2-20AA race car goes around a 100m diameter track at 100m/s. What coefficient of

friction is needed to prevent skidding? Is this Static, or Kinetic friction?

2-25

Type question here. Adjust size & position as necessary.

Tan Ө = Fc / FgTan Ө = mv2 / rmg

Tan Ө = v2 / rg = (2r/T)2 / rgӨ = Tan-1 (42r/(g T2))

T = 26o

2-25A

A 0.1kg toy airplane flies around a pole, tied to a string, in a 0.5m radius circle. If the plane takes 2 seconds to circle, what

is the angle between string and pole?

3-5A ball is spun on a 2m string, completing a circle in 1 second. What is the velocity

of the ball?

3-5AA ball is spun on a 2m string, completing a circle in 1 second. What is the velocity

of the ball?

v = d / td = 2r

v = 2r / tv = 12.6 m/s

3-10A ball on a string is spun in a circle, rolling along on the surface of a table-top. Draw a Free-Body diagram for the ball.

3-10AA ball on a string is spun in a circle, rolling along on the surface of a table-top. Draw a Free-Body diagram for the ball.

Ft

Fg

FN

A ball on a string is spun in a circle, moving faster and faster. Draw a pair of

vectors representing the acceleration(s) of the ball..

A ball on a string is spun in a circle, moving faster and faster. Draw a pair of

vectors representing the acceleration(s) of the ball..

ac

at

3-20A toy plane on a string hangs from the

ceiling, flying around every 1.93 seconds. If the string has a length of 1m, and the

string is 20o from the vertical, what is the centripetal acceleration of the plane?

ac = v2 / rac = (2r / T)2 / r

ac = 42r / T2

ac = 42(1 sin20) / (1.93 s)2

ac = 3.6 m/s2

3-20AA toy plane on a string hangs from the

ceiling, flying around every 1.93 seconds. If the string has a length of 1m, and the

string is 20o from the vertical, what is the centripetal acceleration of the plane?

3-25A toy airplane hangs from a 1m string attached to the ceiling. The plane flies in a circle of radius 0.5m. How long does it

take the plane to circle once?

ac = v2 / r Ө = 30o

Tan Ө = ac / gac = 5.77m/s2 = v2/0.5m

v = 1.7 m/s d = 3.14T = 1.85s

3-25AA toy airplane hangs from a 1m string attached to the ceiling. The plane flies in a circle of radius 0.5m. How long does it

take the plane to circle once?

4-5Draw a Free-Body diagram for a roller coaster on a slow hill.

4-5ADraw a Free-Body diagram for a roller coaster on a slow hill.

Fg

FN

4-10Draw a Free-Body diagram for a roller coaster at the bottom of a loop (to scale).

Draw a Free-Body diagram for a roller coaster at the bottom of a loop (to scale).

Fg

FN

Draw a Free-Body diagram for a roller coaster at the top of a loop, where the

rider feels weightless (to scale).

Draw a Free-Body diagram for a roller coaster at the top of a loop, where the

rider feels weightless (to scale).

Fg

How fast must a roller coaster be moving if the rider is to feel weightless at the top

of the 40m tall loop?

How fast must a roller coaster be moving if the rider is to feel weightless at the top

of the 40m tall loop?

FN + Fg = mv2 / r0 N + mg = mv2 / r

10 = v2 / 20mv = 14.14 m/s

How fast is a roller coaster moving if the rider feels 4g’s at the bottom of the 20m

tall loop?

FN - Fg = mv2 / r4g’s means FN = m*4*10m/s2

m4*10 - mg = mv2 / r40 – 10 = v2 / 10m

v = 17.32 m/s

How fast is a roller coaster moving if the rider feels 4g’s at the bottom of the 20m

tall loop?

5-5How many Earths would fit in Jupiter’s large red-spot?

5-5AHow many Earths would fit in Jupiter’s large red-spot?

Approximately 2 or 3 Earths would fit

in the red spot.

How many of your body cells die each day?

Between 50 and 70 BILLION!In a year, this amounts to the proliferation and subsequent

destruction of a mass of cells equal to an individual's body weight.

Between 50 and 70 BILLION!In a year, this amounts to the proliferation and subsequent

destruction of a mass of cells equal to an individual's body weight.

How many of your body cells die each day?

What is Jason Bourne’s real name?

What is Jason Bourne’s real name?

David Webb

Name the most recent horse to win the Triple Crown?

Name the most recent horse to win the Triple Crown?

Affirmed

In 1978

What company is the world’s largest distributor of toys?

What company is the world’s largest distributor of toys?

McDonalds

Daily Double

A 0.1kg toy airplane flies around a pole, tied to a string, in a 0.5m radius circle. If the plane takes 2 seconds to circle, what

is the angle between string and pole?

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