Problem 1:
Given:
m = 10 kg
v = 20 m/s
Required:
KE
Solution:
[tex]KE = \dfrac{1}{2}mv^{2}[/tex]
[tex]KE = \dfrac{1}{2}(\text{10 kg})(\text{20 m/s})^{2}[/tex]
[tex]\boxed{KE = \text{2,000 J}}[/tex]
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Problem 2:
Given:
m = 6 kg
h = 3 m
Required:
PE
Solution:
PE = mgh
PE = (6 kg)(9.8 m/s²)(3 m)
[tex]\boxed{PE = \text{176.4 J}}[/tex]
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Problem 3:
Given:
m = 2,000 kg
d = 10 m
t = 60 s
Required:
P
Solution:
Solving for F
F = weight = mg
F = (2,000 kg)(9.8 m/s²)
F = 19,600 N
Solving for W
W = Fd
W = (19,600 N)(10 m)
W = 196,000 J
Solving for P
[tex]P = \dfrac{W}{t}[/tex]
[tex]P = \dfrac{\text{196,000 J}}{\text{60 s}}[/tex]
[tex]\boxed{P = \text{3,266.67 W}}[/tex]
---------------------------------------------------------
Problem 4:
Given:
T = 26°C
Required:
v
Solution:
v = 331 + 0.6T
v = 331 + 0.6(26)
[tex]\boxed{v = \text{346.6 m/s}}[/tex]
---------------------------------------------------------
Problem 5:
Given:
T = 29°C
Required:
v
Solution:
v = 331 + 0.6T
v = 331 + 0.6(29)
[tex]\boxed{v = \text{348.4 m/s}}[/tex]
[tex]\\[/tex]
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