Figure P14.59 shows two springs, each with spring constant 20 N/m, connecting a 2.5 kg block to two walls. The block slides on a frictionless surface. The block is displaced 1.0 cm from equilibrium. a. What is the magnitude of the restoring force? b. Given this, what is the effective spring constant of the two springs working together? c. If the mass is released, it will oscillate. What is the frequency?
Figure P14.59 shows two springs, each with spring constant 20 N/m, connecting a 2.5 kg block to two walls. The block slides on a frictionless surface. The block is displaced 1.0 cm from equilibrium. a. What is the magnitude of the restoring force? b. Given this, what is the effective spring constant of the two springs working together? c. If the mass is released, it will oscillate. What is the frequency?
Figure P14.59 shows two springs, each with spring constant 20 N/m, connecting a 2.5 kg block to two walls. The block slides on a frictionless surface. The block is displaced 1.0 cm from equilibrium.
a. What is the magnitude of the restoring force?
b. Given this, what is the effective spring constant of the two springs working together?
c. If the mass is released, it will oscillate. What is the frequency?
Part 3: Symbolic Algebra
Often problems in science and engineering are done with variables only. Don't let the different letters
confuse you. Manipulate them algebraically as though they were numbers.
1. Solve 3x-7= x + 3 for x
2x-1
2. Solve-
for x
2+2
In questions 3-11 solve for the required symbol/letter
3. v2 +2a(s-80), a =
=
4. B=
Ho I
2π r
5. K = kz²
6.xm=
MAL
,d=
d
7.T, 2
=
8.F=Gm
9. mgh=mv²
10.qV = mu²
80
12. Suppose that the height in meters of a thrown ball after t seconds is given by h =6+4t-t².
Complete the square to find the highest point and the time when this happens.
13. Solve by completing the square c₁t² + cat + 3 = 0.
14. Solve for the time t in the following expression = 0 + vot+at²
A blacksmith cools a 1.60 kg chunk of iron, initially
at a temperature of 650.0° C, by trickling 30.0°C
water over it. All the water boils away, and the iron
ends up at a temperature of 120.0° C.
For related problem-solving tips and strategies, you
may want to view a Video Tutor Solution of
Changes in both temperature and phase.
Part A
How much water did the blacksmith trickle over the iron?
Express your answer with the appropriate units.
HÅ
mwater =
Value
0
?
Units
Submit
Request Answer
Steel train rails are laid in 13.0-m-long segments
placed end to end. The rails are laid on a winter
day when their temperature is -6.0° C.
Part A
How much space must be left between adjacent rails if they are just to touch on a summer day when their
temperature is 32.0°C?
Express your answer with the appropriate units.
☐
о
μΑ
?
D =
Value
Units
Submit
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Part B
If the rails are originally laid in contact, what is the stress in them on a summer day when their temperature is
32.0°C?
Express your answer in pascals. Enter positive value if the stress is tensile and negative value if the
stress is compressive.
F
A
Ο ΑΣΦ
?
Ра
Chapter 14 Solutions
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