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The following is Poiseuille’s equation which describes the flow of
fluid through a cylindrical tube. The constants are: P is pressure difference1
,
[P] = ML−1T
−2
, r is radius, η is viscosity of the fluid, [η] = ML−1T
−1
, and l
is the length of the tube:
flow rate = πP r4
8ηl
Here is another version of the same equation, where ρ is the density of the fluid,
[ρ] = ML−3
,
flow rate = πρP r4
8ηl
Use dimensional analysis to determine the dimension(s) of the flow rate- Are
these equations the same?
Find the mass of an object whose rest mass is 1000g when it is travelling at 90% of the speed of light?
a horizontal force of 0.80N is required to pull a 5kg block across a table top at a constant speed. with the block initially at rest, a 20g bullet fired horizontally into the block causes the block to slide 1.5m before coming to rest again. determine the speed v of the bullet where the bullet is assumed to be embedded in the block
2. A Positive electric charge Q is distributed uniformly throughout the volume of an insulating solid sphere with radius a (Figure 2). By using Gauss Law, find the magnitude of the electric field at a point P, a distance r from the center of the sphere where:
a) r𝑟 <a 𝑎 (10 points)
b)r>a
The largest mall in Africa by volume is Mall of Africa, South Africa. It measures approximately 631 m long, 707 yards wide, and 110 ft high. Calculate its volume in cubic meter.
1 m = 3.28 ft ; 1 yard = 0.9 m )
A truck travelling at 54 km/h is slow down to 36 km/h in 10 sec. Find the retardation
A baseball was hit at 45 m/s at ang angle of 45 degrees above the horizontal
a.How long did it remain in the air
b.How far did it travel horizontally
Given that a positive charge Q1=+3c and negative charge Q2=2c, are separated by a distance of 8cm. Take permittivity constant k=9.0×10^9NM^2/c^2.
(a). find The electric field at point p 1cm from Q2
(b) what is the electric potential at point P ,5 cm from Q1.
What is the magnitude of the force acting on a straight wire of length 1.029 m, with a current of 8.71 A, and inclined at an angle of 23.44 degrees to a uniform magnetic field of magnitude 0.692 T?
What length of conductor, placed at right angles to a magnetic field of magnitude 0.052 T, and with a current of 16.04 A, experiences a force of 1.013 N?
