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When the air resistance is ignored, the horizontal range R of a projectile is given by R(θ) = v2 0 g sin 2θ where v0 is the constant initial velocity, g is the acceleration due to gravity, and θ is the angle of elevation or departure. Find the maximum range of projectile.
Analyze all loaded structures below using the consistent deformation method. Before commencing with the calculations, identify first the respective degree of indeterminacy.
Then draw the shear and moment diagram.
The width at upstream of the channel and width at the throat are 2.5m and 1.5m.
i) calculate flow rate in the channel using continuity and specific energy principles.
ii) calculate specific energy at constriction where z = 0.122
iii)if depth at the constriction is critical depth, determine new flow rate.
Solve the equation of x²p²+xp-(y²+y)=0
to what extent do you agree on the statement " low economic growth and consumer spending are the biggest factors effecting wage on the UK
A gas is filled with oxygen at a temperature of 2atm. If the temperature is increased to 50°c and the pressure is increased to 5atm,by what factor does the density of the oxygen increases by
. Assume that the demand and supply functions for a commodity is given as P = 80 - Q and P = 20 + 2Q , respectively. If the seller must pay a tax of $6 per unit. Calculate the new supply function, equilibrium price (with tax and without tax) and the equilibrium quantity.
Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates.
ans.-3.6j – 4k
For p∈P3(R) given by p(x)=a0+a1x+⋯+a3x3, let s(p)=a0+a1+a2+a3 and det(p)=a0. Also, corresponding to the polynomial p∈P3(R), we define the polynomial p∗ to be p(−x). Which of the following are subspaces of P3(R) ?
A point particle of charge 2.5 nC and mass 3.25x10^-3 kg is in uniform electric field directed to the right.It is released from rest and moves to the right .After it was traveled 12.0cm,it's speed is 25m/s.Find the
a)work done on the particle
b) change in the electric potential energy of the particle and
c) magnitude of the electric field.
