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A particle starts from rest and moves in a straight line with constant acceleration passing two points A and B, which are 100m apart in 15s. If the velocity of the particle at B is three times its velocity at A, find: (a) the velocity of the particle at A; (b) its acceleration; (c) the distance of A from the starting point.
Find the unit tangent vector, the unit normal vector, the curvature and the radius of curvature of the circle x= a cos theta, y= a sin theta, z=0 at point with parameter theta.
If a potential is given by ax^3+bx+c then what is the condition for equilibrium
A particle has charge -3.00 nC. (a) Find the magnitude
nd direction of the electric field due to this particle at a point
.250 m directly above it. (b) At what distance from this particle
pes its electric field have a magnitude of 12.0 N/C?
1. The electric force between two point charges with a magnitude of 800uC and 900uC is 15 N. How far apart are the two charges in cm?
2. A force of 500 N between two identical point charges is separated by a distance of 47m. Calculate the magnitude of the two point charges.
Oil flows through a standard 25 mm diameter orifice under 5.5 m head at a
measured rate of 3 L/s. The jet strikes a wall 1.5 m away and 0.12 m
vertically below the centreline of the contracted section of the jet. Determine
all the coefficients of the orifice.
What must be the magnitude and direction of E that will balance the weight of
a.) an electron
b.) a proton
show your solution
A box of mass 20 kilograms is kept on a smooth horizontal surface. Another object of mass 16 kg is kept on the box. The two objects are connected by light in extensible string and the string goes over smooth pulley . If a force of 6 newton is applied on the box , and the acceleration of the box.
An object of mass 4 kg is moved on a horizontal surface with a constant acceleration of 0.2m/s^2 , by a horizontal force of 6 Newtons. Find the friction force acting on the object and the coefficient of friction.
Motion of a particle is determined by the equation
d x dx x t
dt dt
2
2
-
-
4 8 20cos2
The particle starts from rest at x = 0. Find x(t).
