A string 1.0 m long breaks when its tension is 100 N. What is the greatest speed at which it can be used to whirl a 1.0 kg stone?

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter7: Gravitation
Section: Chapter Questions
Problem 51A
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Number 7 the 1st photo has the formulas I am supposed to use
e:_Yund It
Period: 2
Circular Motion Math Worksheet
Date:
Formulas: T = 1/f
(S)
f= 1/T V= (2ar) / T a =V /r
(Hz)
Fe = (mV²)/ r
(N)
Fe = m ac
(mis)
0.5 kg ball moves in a circle that is 0.4 m in radius at a speed of 4.0 m/s. Calculate its centripe
celeration.
as/Unknown:
Equation:
Substitution:
Solve:
= to m/s
0,4m
mls
eulate the centripetal force on the ball in question #1.
Unknown:
o.5 K9
Equation:
Substitution:
Solve:
Fc = Co.5)(40)
Z0.0.
G.4
cárt at the end of a string 0.70 m long moves in a circle on a table. The cart has a mass
e string has a breaking strength of 40 NI
Transcribed Image Text:e:_Yund It Period: 2 Circular Motion Math Worksheet Date: Formulas: T = 1/f (S) f= 1/T V= (2ar) / T a =V /r (Hz) Fe = (mV²)/ r (N) Fe = m ac (mis) 0.5 kg ball moves in a circle that is 0.4 m in radius at a speed of 4.0 m/s. Calculate its centripe celeration. as/Unknown: Equation: Substitution: Solve: = to m/s 0,4m mls eulate the centripetal force on the ball in question #1. Unknown: o.5 K9 Equation: Substitution: Solve: Fc = Co.5)(40) Z0.0. G.4 cárt at the end of a string 0.70 m long moves in a circle on a table. The cart has a mass e string has a breaking strength of 40 NI
(C) What is the linear speed of a point on its rim?
Equation:
ソンイン、
Givens/Unknown:
Substitution:
Solve:
33.5
V =.526 m/
U=
V
(2 25)
(D) What is the centripetal acceleration of a point on its rim?
Givens/Unknown:
V=-526/5
Equation:
Solve:
Substitution:
(0.526m (5)
3ocme Im
( Ooch
1.8t m/s?
What is the minimum radius at which an airplane flying at 300 m/s can make a U-turn if its centripetal
acceleration is NOT to exceed 4 gs? [4g = 39.2 m/s?]
Givens/Unknown:
300 ms
T9= 39.2m/3
Equation:
Substitution:
Solve:
こ
(300
39.2
r=ZZ95.91m
7.
A string 1.0 m long breaks when its tension is 100 N. What is the greatest speed at which it can be used
to whirl a 1.0 kg stone?
Givens/Unknown:
Equation:
Substitution:
Solve:
T=looN
m=l.0kg
8.
What is the centripetal force needed to keep a 3.0 kg mass moving in a circle of radius 0.50 m at a speed
of 8.0 m/s?
Givens/Unknown:
Equation:
Substitution:
Solve:
ms 3.0 Kg
R:0.50 m
Fc= 384.0 N
V =
8.0 m/s
9.
A 2000 kg car is rounding a curve of radius 200 m on a level road. The maximum frictional force the
road can exert on the tires of the car is 4000 N. What is the highest speed at which the car can round the
curve?
Givens/Unknown:
Equation:
Substitution:
Solve:
F-R
YoOX Zors 20 mls
R= 7an
7060
V=VFXR
Transcribed Image Text:(C) What is the linear speed of a point on its rim? Equation: ソンイン、 Givens/Unknown: Substitution: Solve: 33.5 V =.526 m/ U= V (2 25) (D) What is the centripetal acceleration of a point on its rim? Givens/Unknown: V=-526/5 Equation: Solve: Substitution: (0.526m (5) 3ocme Im ( Ooch 1.8t m/s? What is the minimum radius at which an airplane flying at 300 m/s can make a U-turn if its centripetal acceleration is NOT to exceed 4 gs? [4g = 39.2 m/s?] Givens/Unknown: 300 ms T9= 39.2m/3 Equation: Substitution: Solve: こ (300 39.2 r=ZZ95.91m 7. A string 1.0 m long breaks when its tension is 100 N. What is the greatest speed at which it can be used to whirl a 1.0 kg stone? Givens/Unknown: Equation: Substitution: Solve: T=looN m=l.0kg 8. What is the centripetal force needed to keep a 3.0 kg mass moving in a circle of radius 0.50 m at a speed of 8.0 m/s? Givens/Unknown: Equation: Substitution: Solve: ms 3.0 Kg R:0.50 m Fc= 384.0 N V = 8.0 m/s 9. A 2000 kg car is rounding a curve of radius 200 m on a level road. The maximum frictional force the road can exert on the tires of the car is 4000 N. What is the highest speed at which the car can round the curve? Givens/Unknown: Equation: Substitution: Solve: F-R YoOX Zors 20 mls R= 7an 7060 V=VFXR
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