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A 10.6-kg object oscillates at the end of a vertical spring that has a spring constant of 2.05×104

 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N ? s/m. (a) Calculate the  frequency of the damped oscillation. (b) By what percentage does the amplitude of the oscillation decrease in each cycle? (c) Find the time interval that elapses while the energy of the system drops to 5.00% of its initial value.


(a) What is the average translational kinetic energy of a oxygen molecule at STP?

 (b) What is the total translational kinetic energy of 1.0 mol of molecules at 25°C?


The potential energy of a satellite orbiting the earth is-X joule the energy required to throw it out of the earth's gravitational field is



A 500g uniform sphere of 7.0cm radius spins at 30 rev/s on an axis through it's centre. Find it's, a) rotational kinetic energy, b)angular momentum, C) radius of gyration

Given that the period of 210Po is 138 days, calculate the number of nuclide of P0 that is produced per second and per kilogram. Given that the Avogadro number, N=6.0 x 1023 atoms/mole.


What is Newton second law



1.Drive the base units of the following
a . pressure
b . pressure
The volume v ,of a liquid that flows through a pipe in time t,is given by
V/t =πpr^6/8cl

Where p,is pressure different between the ends of pipe of raidus r and length ,l is a constant
1.Determine the base units of c

2.Hence suggest what the quantity c represent

Exercise: 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?


Vector a has magnitude of 8 units and makes an angle of 45 with the positive x-axis vector b also has the same magnitude of 8 units and directed along the negative x-axis find the magnitude and direction of A+B


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