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The following data were obtained in a refraction survey.


Distance(m) 0 5 10 15 20 25 30 35 40 45 50 55 60

Time(msecs) 11 22 32 37 38 41 42 41 41 42 42 43 44


(i) Plot the time-distance graph and

(ii) Calculate the depth to the refractor below the shot point.



1. A mild earthquake occurred in near Washington D.C. at 8.00 Greenwich Mean Time. The shock was registered on seismograms in different cities at the times shown below. Plot a graph showing travel time versus distance for both P and S-waves.

city Distance(km) P-wave arrival time S-wave arrival time

Buenos Aires 8640 710 1302

Cairo Egypt 9590 757 1392

Bogota Colombia 4840 485 865

Chicago 988 144 212


Assumethat a gravitational anomaly inthe solar systemhas shied a field of asteroids into Earth’s


orbit, and the field is now moving directly towards Earth. The asteroid field has a density of ρ


(asteroids/volume), and each asteroid has an average mass of m. The asteroid field stretches


over a distance d in Earth’s path. Assume that the Earth moves with a velocity of v, the asteroids


with u, and that v  u. Let R be the radius and M the mass of the Earth. The Earth collides with


the asteroid field:


Show that the slow-down ∆v of the Earth due to the asteroid collisions is given by:


∆v = v 1 − 1 + πR12dρMm 

A toroid core has N = 1200 turns, length L = 80cm, cross-sectional area A = 60cm2



,



current I = 1.5A. Compute B and H. Assume an empty core.

A 14.5 cm high object is placed 50.0 cm in front of a concave mirror with radius of curvature equal to 30.0 cm. determine the distance, height, and image formed by the mirror.

An aircraft flying at an unknown initial velocity accelerates uniformly,at the rate of 5m/s².it reaches a velocity of 200m/s after accelerating over a distance of 3000 m. calculate the initial velocity of the aircraft

Determine the charge transferred when a current of 5mA flow for 10 minutes

A d, c motor consumes 47.25MJ when connected to a 250 V supply for 1 hour 45 minutes. Determine the power rating of the motor and the current taken from the supply

A particle moves in a straight line with an initial

velocity of 30 m/s and constant acceleration 30 m/s2

.

(a) What is its displacement at t = 5 s? (b) What is its

velocity at this same time?


how much work is done on a 5 kg block if it is to be moved on a ramp 30° above the horizontal and height of 1 meter? what are the values of work done by each force?

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