Answer:
C. 85%
Explanation:
A cylinder fitted with a piston exists in a high-pressure chamber (3 atm) with an initial volume of 1 L. If a sufficient quantity of a hydrocarbon material is combusted inside the cylinder to produce 1 kJ of energy, and if the volume of the chamber then increases to 1.5 L, what percent of the fuel's energy was lost to friction and heat?
A. 15%
B. 30%
C. 85%
D. 100%
work done by the system will be
W=PdV
p=pressure
dV=change in volume
3tam will be changed to N/m^2
3*1.01*10^5
W=3.03*10^5*(1.5-1)
convert 0.5L to m^3
5*10^-4
W=3.03*10^5*5*10^-4
W=152J
therefore
to find the percentage used
152/1000*100
15%
100%-15%
85% uf the fuel's energy was lost to friction and heat
Answer:
5.522 m
Explanation:
Data provided:
Mass, m = 1.03 kg
spring constant, k = 861.1 N/m
Distance by which the spring is compressed, x = 0.36
Thus,
the energy stored in the spring = 
on substituting the values, we get
the energy stored in the spring = 
now,
by the conservation of energy, we have
Potential energy gained by the mass = Energy gained by the spring
or
mgh = 
where,
g is the acceleration due to the gravity
h is the maximum height reached by the mass before falling
on substituting the values in the above relation, we get
1.03 × 9.81 × h = 
or
h = 5.522 m
Answer:
20.5
Explanation:
in this case, the two vectors are in the same direction, so they simply add:
total motion = 18m/s + 2.5m/s = 20.5m/s to the west
<h2>Answer: 4.928 days
</h2><h2 />
Explanation:
This problem can be solved using the <u>Radioactive Half Life Formula:
</u>
<u></u>
(1)
Where:
is the final amount of the material
is the initial amount of the material
is the time elapsed
is the half life of the material (the quantity we are asked to find)
Knowing this, let's substitute the values and find
from (1):
(2)
(3)
Applying natural logarithm in both sides:
(4)
(5)
Clearing
:
(6)
Finally: