Answer:
11.95m/s
Explanation:
A moving object has a kinetic energy of 150 J and a momentum of 25.1 kg·m/s.
a) Find the speed of the object. Answer in units of m
K. E =½mv²
150= ½mv²
Multiply both sides by 2
mv² = 300
Divide both sides by v²
m = 300/v² .................. Equation 1
Momentum is the product of mass and velocity
Momentum = mv
25.1 = mv
Divide both sides by v
m = 25.1/v ................ Equation 2
Equate equations 1 and 2
300/v² = 25.1/v
Cross multiply
25.1v² = 300v
Multiply v with both sides
25.1v = 300
Divide both sides by 25.1
v = 300/25.1
V = 11.95m/s
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A). The sun is highest in London, but will not pass the ship
for another 5 hours.
Since the sun moves from east to west, the ship must be
5 hours west of Greenwich.
Each hour of sun motion is 15° of longitude.
The ship's longitude is (5 x 15°) = 75° West.
The ship may be sailing down Columbia Boulevard
in Maple Shade, New Jersey.
B). The latitude at Buffalo's City Hall is 42.887° North.
Polaris is always within about 2/3 of a degree of that angle
above the northern horizon, when viewed from City Hall.
Choice 2) is the most appropriate.
This Question is incomplete.The complete question is
Combustion gases enter a gas turbine at 627∘C and 1.2 MPa at a rate of 2.5 kg/s and leave at 527∘C and 500 kPa. It is estimated that heat is lost from the turbine at a rate of 20 kW. Using air properties for the combustion gases and assuming the surroundings to be at 25∘C and 100 kPa, determine (a) the actual and reversible power outputs of the turbine. (b) the exergy destroyed within the turbine, and (c) the second-law efficiency of the turbine.
Answer:
(a) W=257.5kW Wrev=367.3kW
(b) X=109.8kW
(c) n=0.7
Explanation:
For Part(a)
Actual power output is determined from the energy balance. The final and initial enthalpy are taken from A-17 for the given temperature
mh₁=W+Q+mh₂
W=m(h₁-h₂)-Q
W=2.5(939.93-821.95)-20
W=257.5kW
The reversible power output is determined from the rate of energy destruction
Wrev=W+X
Wrev=W+T₀(m(s₂-s₁-Rln(p₂/p₁)+Q/T₀)
Wrev=257.5+298( 2.5 (2.71787-2.84856-0.287*ln(500/1200)+20/298)
Wrev=367.3kW
For part(b)
X=Wrev-W
X=367.3-257.5
X=109.8kW
For part (c)
Second-law efficiency is determined from the ratio of the actual and reversible power output:
n=W/Wrev
n=257.5/367.3
n=0.7
Answer:
Slope = M / s
k = +0.016 / s
Explanation:
Given:
- A first order reaction ---- (missing from question)
- Slope is -0.016
Find:
Units of Slope and value of k
Solution:
- The slope of the concentration time graph is called the rate of reaction. For which the rate of reactions is always expressed as change in concentration of reactants per unit time. Hence,
Slope = Change in concentration / time
Slope = M / s
- The units of k constant depends on the order of reaction. The graph given is of first order. Hence, the sum of moles of reactants and products is the same. Hence, the units of constant k is given by:
k = +0.016 / s