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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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Page 1: topic here
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Page 7: topic here

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.

Page 8: topic here

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

of…?

Page 9: topic here

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

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

of…?

Page 10: topic here

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

Page 11: topic here

230 N

(or 225.4 N)

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

Page 12: topic here

What is the value of G?

Page 13: topic here

What is the value of G?

6.67 E-11 Nm2kg2

Page 14: topic here

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

8,000 km?

Page 15: topic here

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

Page 16: topic here

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?

Page 17: topic here

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?

Page 18: topic here

What is the equation for Centripetal Force?

Page 19: topic here

What is the equation for Centripetal Force?

Fc = mv2 / r

Page 20: topic here

What is the equation for Centripetal Acceleration?

Page 21: topic here

What is the equation for Centripetal Acceleration?

ac = v2 / r

Page 22: topic here

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

skidding?

Page 23: topic here

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?

Page 24: topic here

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?

Page 25: topic here

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?

Page 26: topic here

2-25

Type question here. Adjust size & position as necessary.

Page 27: topic here

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?

Page 28: topic here

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

of the ball?

Page 29: topic here

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

Page 30: topic here

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.

Page 31: topic here

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

Page 32: topic here

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..

Page 33: topic here

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

Page 34: topic here

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?

Page 35: topic here

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?

Page 36: topic here

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?

Page 37: topic here

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?

Page 38: topic here

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

Page 39: topic here

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

Fg

FN

Page 40: topic here

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

Page 41: topic here

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

Fg

FN

Page 42: topic here

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

rider feels weightless (to scale).

Page 43: topic here

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

rider feels weightless (to scale).

Fg

Page 44: topic here

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

of the 40m tall loop?

Page 45: topic here

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

Page 46: topic here

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

tall loop?

Page 47: topic here

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?

Page 48: topic here

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

Page 49: topic here

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

Approximately 2 or 3 Earths would fit

in the red spot.

Page 50: topic here

How many of your body cells die each day?

Page 51: topic here

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?

Page 52: topic here

What is Jason Bourne’s real name?

Page 53: topic here

What is Jason Bourne’s real name?

David Webb

Page 54: topic here

Name the most recent horse to win the Triple Crown?

Page 55: topic here

Name the most recent horse to win the Triple Crown?

Affirmed

In 1978

Page 56: topic here

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

Page 57: topic here

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

McDonalds

Page 58: topic here

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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