Answer:
The first one A, " These are lines of equal air pressure".
Explanation:
Given:
Temperature of water, = =273 +(-6) =267 K
Temperature surrounding refrigerator, = =273 + 21 =294 K
Specific heat given for water, = 4.19 KJ/kg/K
Specific heat given for ice, = 2.1 KJ/kg/K
Latent heat of fusion, = 335KJ/kg
Solution:
Coefficient of Performance (COP) for refrigerator is given by:
Max =
= = 9.89
Coefficient of Performance (COP) for heat pump is given by:
Max = = 10.89
Answer:
a)f=2.25 Hz
b)Time period T=.144 s
c)tex]V_{max}[/tex]=0.42 m/s
d)Phase angle Ф=87.3°
e)
Explanation:
a)
Natural frequency
=14.14 rad/s
w=2πf
⇒f=2.25 Hz
b) Time period
T=
Time period T=.144 s
c)Displacement equation
Boundary condition
t=o,x=0.03 m
t=0,v=.02m/s , V=
Now by using these above conditions
A=0.03,B=0.0014
x=0.03 cos14.14 t+0.0014 sin14.14 t
⇒x=0.03003sin(14.14t+87.3)
=0.42 m/s
d)
Phase angle Ф=87.3°
e)
Maximum acceleration
=6.0041
Answer:
The number is 768
Explanation:
The given parameters of the three digits number are;
The number is a multiple of four, therefore, a factor of the number = 4
The value of the first digit = A prime number larger than 5
The sum of the last two digits > 10
The value of the ones (place value) digit > The tens (place value) digit
Let 'xyz' represent the digits of the three digits number, we have;
x = A prime number digit larger than 5
∴ x = 7
y + z > 10
z > y and z > x
Given that 4 is a factor of the number, we have;
4 is a factor of 'z'
4 is also a factor of yz
Therefore, the digit, z > 7 and z is divisible by 4, therefore, z = 8
y + z = y + 8 > 10
∴ y > 10 - 8
y > 2
The multiples of 4 larger than 728 with the last digit equal to 8 are found using Microsoft Excel and presented as follows;
748, 768, 788
The numbers that have a larger ones place value are; 748 and 768
The sum of the las two digits are therefore, 4 + 8 = 12 and 6 + 8 = 14
The number that has the largest ones place value for the sum of the last two digits is 768
The number is 768
Answer:
Explanation: 1995 would be correct.