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Consider a thin spherical shell of radius 14.0 cm with a total charge of 32.0 μC distributed uniformly on its surface. Find the electric field (a) 10.0 cm and (b) 20.0 cm from the center of the charge distribution
Two infinite parallel plates, charged with uniform surface charges densities σ1, σ2 as shown. Find the electrostatic field (in N/C) at point A: σ1 = -60 nC/m^2 , σ2 = 20 nC/m^2
Four identical point charges (q=+ 23 μC) are located on the corners of a rectangle as shown in figure. The dimensions of the rectangle L=80 cm, W=20 cm. Calculate the magnitude of the net electric force (in N) exerted on the charge at the upper right corner.
Data on the compressive strength of a concrete block after testing are as follows: 2.54 MPa, 2.59 MPa, 2.50 MPa, 2.56 MPa, and 2.52 MPa
Find: the range
A solenoid of length 2.2 m has a diameter of 0.9 m. The magnetic field at its centre is 0.4 tesla. Estimate the energy stored in the field of this coil.
Consider a circus act where the actor (of mass m) slides without friction under the
influence of gravity on a wire that makes an angle a with the upward verticle axis,
and rotates with constant angular velocity w.
(i) Write the Lagrangian using the appropriate generalized coordinates.
(ii) Write down the equation of motion for the generalized coordinates and discuss
the motion of the stunt actor.
State the Hamilton’s principle. In what is known as folk’s physics analogues
principles are often phrased to describe every day’s experience. For example, water
is said to take a path of least resistance while flowing from one point to another
point*. Likewise, example of least action/effort is also seen in human pathways as
shown in the following bicycle-lane! Discuss if these behaviors somehow relate to
Hamilton’s principle or simply human’s innate behavior of least effort! Have you
acted in similar ?
THE EARTH ATTRACTS US WITH ITS GRAVITATIONAL Force. Why doesn't it attract us with its electric force especially when fe is so much greater than fg.
A sound wave will not travel forever. What happens to the amplitude and wavelength if no energy is supplied to it?
What form of energy is the energy transferred into?
- A conical flask with a base of diameter 7.0 cm is filled to a depth of 10cm with a liquid of density 840 kg/m3. Find the total force due to the liquid on the base in Newton’s.
- A tube 1.98 m long is sealed at one end. It is lowered mouth downwards into water of density 1000 kg/m3 when atmospheric pressure is 100,000 N/m2. If the water rises 0.98m in the tubes and the temperature remains constant. Find the depth of the top of the tube below the surface of the water.
- a. A weight of 50N is suspended from a beam by a string. What horizontal force must be applied to the weight to keep the string at an angle of 40degrees to the vertical? What is tension in the string?
3.b. The resultant of two forces makes angles 30degrees and 45 degrees with them, and has a magnitude of 25N. Find the magnitude of the two forces.
