Answer:
1.29 moles
0.753 moles
0.745 moles
Explanation:
PV=nRT
n=PV/RT
n=(1)(34.2)/(0.0821)(323.7)
n=1.29
n=PV/RT
n=(1)(22.4)=(0.0821)(362.15)
n=0.753
n=PV/RT
n=(1)(16.7)/(0.0821)(273.15)
n=0.745
In the ideal gas equation, T is measured in Kelvin.
Answer: 49.5 m
Explanation:
The speed of sound 
is given by a relation between the distance 
and the time 
:
(1)
Where:
is the speed of sound in air (taking into account this value may vary according to the medium the sound wave travels)
since we are told th hunter was initially 412.5 meters from the cliff and then moves a distance 
towards the cliff
Since the time given as data (2.2 s) is the time it takes to the sound wave to travel from the hunter's gun and then go back to the position where the hunter is after being reflected by the cliff
Having this information clarified, let's isolate and then find :
(2)
(3)
Finding :
This is the distance at which the hunter is from the cliff.
Answer:
E) The centripetal force is always perpendicular to the velocity.
Explanation:
Due to gravity and inertia, the satellite follows a uniform circular motion. In this movement, the velocity is always tangent to the orbit and the centripetal force is directed towards the center. Therefore, there is no net acceleration in the same direction of velocity, which implies that it remains constant.
Answer:
α = 17.0 rad/s²
Explanation:
For this problem let's use the torque expression
τ = I α
Torque is the product of force by the distance that is half the length of the pencil
τ = F x
Let's use trigonometry
sin 10 = x / (l / 2)
x = l / 2 sin 10
τ = mg l /2 sin 10
The moment of inertia of pencil that we approximate as a rod with the axis of rotation at one end
I = 1/3 m L²
We replace
mg l / 2 sin 10 = 1/3 m l² α
α = 3/2 g/l sin 10
Let's reduce the magnitudes to the SI system
l = 15.0 cm = 0.150 m
m = 10.0 g = 0.0100 kg
Let's calculate
α = 3/2 9.8 / 0.150 sin 10
α = 17.0 rad/s²
