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1.    Eight kilometers below the surface of the ocean the pressure is 82Mpa. Determine the density of the seawater at this depth if the density at the surface is 1025kg/m3 and the average bulk modulus of elasticity is 2.3GPa.



1kg block is placed at an inclined sloped at 10 degrees with the horizontal and is pushed up by a 150N force for 3 seconds from which then the 150N force is then removed. The block will continue sliding upward due to is momentum until it will completely stop. How far has the block traveled? if the coefficient of friction is 0.3 between the block and the inclined plane.



Three vectors OA, OB and OC act from the origin O such that the coordinates of A, B and C are (2, 5),
(8, –3) and (–10, –2), respectively.
(i) Determine whether the vectors are in equilibrium.
(ii) What will be the effect of including a fourth force OD, such that D(4, – 4)? Specify clearly.
Draw and label a diagram to illustrate your answer.
1.Sketch in the interval -2π<_ x 2π, the graph of y= - 2secx+1. Hence deduce the range of values of k for which the equation -2secx+1= k has no solution
2.Sketch the graph of y = 2arcsinx-π/2, showing clearly the exact coordinates of the end-points of the curve and the eaxct coordinates of the point where the curve crosses the x-axis
Explain with the aid of what is a,meant by the moment of a force about a point.b,state the conditions of equilibrium for a number of a number of copalana parallel forces.a meter rule is found to balance at the 48cm mark

25j of energy is stored in a capacitor ot capacitance 2NF . Determine the voltage across the capacitor terminal


40x4gx403=bw3E

60x4gx603=bw3E

Find E and g simultaneously




For a damped oscillator m =250gm, k = 85N/m and b = 70gm/s. (a) What is the period of the
motion? (b) How long does it take for the amplitude of the damped oscillations to drop to half its
initial value?(c) How many oscillations does it complete in life time?
A 2.00 kg block is attached to a spring and force constant of the spring is k = 196 N/m.The block is
held a distance of 5.00 cm from equilibrium and released at t = 0.
(a) Find the angular frequency w, the frequency f, and the period T.
(b) Write an equation for x vs. time.
A mass oscillates with an amplitude of 4.00 m, a frequency of 0.5 Hz and a phase angle of p/4.
(i)What is the period T?
(i)Write an equation for the displacement of the particle.
(iii)Calculate the velocity and acceleration of the object at time t=5s..
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