The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U ( x ) = − a / x 12 − b / x 6 where x is the distance between the atoms. (a) At what distance of separation does the potential energy have a local minimum ( x = ∞ ) ? What is the force on an atom at this separation? (c) How does the force vary with the separation distance?
The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U ( x ) = − a / x 12 − b / x 6 where x is the distance between the atoms. (a) At what distance of separation does the potential energy have a local minimum ( x = ∞ ) ? What is the force on an atom at this separation? (c) How does the force vary with the separation distance?
The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by
U
(
x
)
=
−
a
/
x
12
−
b
/
x
6
where x is the distance between the atoms. (a) At what distance of separation does the potential energy have a local minimum
(
x
=
∞
)
? What is the force on an atom at this separation? (c) How does the force vary with the separation distance?
Consider the circuit shown in the figure below. (Let R = 12.0 (2.)
25.0 V
10.0
www
10.0 Ω
b
www
5.00 Ω
w
R
5.00 Ω
i
(a) Find the current in the 12.0-0 resistor.
1.95
×
This is the total current through the battery. Does all of this go through R? A
(b) Find the potential difference between points a and b.
1.72
×
How does the potential difference between points a and b relate to the current through resistor R? V
3.90 ... CP A rocket designed to place small payloads into orbit
is carried to an altitude of 12.0 km above sea level by a converted
airliner. When the airliner is flying in a straight line at a constant
speed of 850 km/h, the rocket is dropped. After the drop, the air-
liner maintains the same altitude and speed and continues to fly in
a straight line. The rocket falls for a brief time, after which its
rocket motor turns on. Once its rocket motor is on, the combined
effects of thrust and gravity give the rocket a constant acceleration
of magnitude 3.00g directed at an angle of 30.0° above the hori-
zontal. For reasons of safety, the rocket should be at least 1.00 km
in front of the airliner when it climbs through the airliner's alti-
tude. Your job is to determine the minimum time that the rocket
must fall before its engine starts. You can ignore air resistance.
Your answer should include (i) a diagram showing the flight paths
of both the rocket and the airliner, labeled at several…
1. In an industrial fabrication process, a fluid, with density p = 800 kg/m and specific heat capacity
c = 5000 J/kg-C°, emerges from a tank at a temperature, T, = 400 °C. The fluid then enters a metal pipe with inner radius a = 2.0 cm and outer radius b = 3.0 cm and thermal conductivity k = 180 W/m•C°.
Outside the pipe the temperature is fixed at Tout = 15 °C.
If the fluid flows at speed v = 8.0 m/s and the length of the pipe is L = 25 m, what is the temperature
of the fluid at the end of the pipe? (Answer: 83 °C)
please I need to show All work problems step by step
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