A cable that is anchored at P (0,0,0) and passes through Q
(2,8,5) supports a 100 lb weight as shown. Express the tension T in
the cable in Cartesian vector
form.
Two particles a and b with same charge q and same mass m move
uniformly in a circular orbit around a stationary particle with a
charge Q. If a has a speed Va=4m/s and radius Ra=6m, what is the
radius of the orbit Rb of b if its speed is Vb=8m/s?
4). (a). Calculate an expression for the work done during an
isothermal, reversible expansion for a gas which is described using
the van der Waals equation of state.
(b). The van der Waals constants for a gas are a = 506.5 kPa L2
mol2 and b = 6.0x10−2 L mol−1. Determine the work done by 2.0 moles
of a gas that expands from 1.5 L to 10 L at 325 K.
(c). The a constant is attributed to attractive forces...
Q4.) Calculate the work done by the air drag by solving
for Wother in the equation below. Two terms in the equation have a
value of zero. You will need the height and mass of the ball and
the final velocity.
U1+K1+Wother=U2+K2
height =1.22m
mass=510grams
final velocty =3.667m/s
Q5.) Calculate the fraction of the initial
potential energy this work is (as a percentage), i.e.:
WotherU1×100%
Q6.) What final velocity would you expect in the absence
of air resistance? Use the...
A ring of radius 2 m weighs 100 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm/s. How much work has to be done to stop it?
Calculate the work done by the adiabatic expansion between the
same volumes used in the isothermal expansion: 2 m3 to 5
m3 for both the a.) irreversible and b.) reversible
processes. Use a monoatomic ideal gas: CV=3R/2 (bar
above CV); P1 = 5 Pa; take T1 to be 300K
calculate the work done when: a) a 55 N force acting
at an angle of 28 degrees to the horizontal pushes an object 5m
horizontally. b) a spring of spring constant 45n/m is stretched by
32cm.
Propose a reasonable value for pressure, volume, and temperature
etc., the heat transfer Q, work done W, and internal energy change
ΔU for each of the steps in the Carnot cycle and thermal
efficiency.