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a certain type of elementary particle travels with a speed of 2.70 x 10∧8 m/s. at this speed, the half-life is measured to be 4.76 x 10 ∧ -6 s. what is the lifetime of the particle at rest?


Suppose you decide to travel to a star 65 light-years away with a speed that tells you the distance is only 25 light-years. How many years would it take to make the trip?


Suppose you decide to travel to a star 65 light-years away with a speed that tells you the distance is only 25 light-years. How many years would it take to make the trip?


In a terrestrial frame of reference, a star is 56 light-years away. How fast would a person have to travel so that the distance to him is only 35 light-years?


A pipe in an industrial plant is designed to carry a fluid of density 1500 kg m–3 at a speed of 3 m s–1. Any faster than this and the flow could become turbulent, with undesirable results. Any slower than this and the fluid could start to congeal on the sides of the pipe. The fluid is to be carried from a holding tank which is at a pressure of Pt to a manufacturing line at atmospheric pressure (Patm= 100kPa) which is 2.5 m below the holding tank. At what

pressure must the tank be maintained?


1.0 Three equal charges of +6 nC are located at the corners of an equilateral triangle (3) whose sides are 12 cm long, as shown below. Find the potential at the center of the triangle.



2.0 Define the electronvolt.

(2)

oint A. -9 +4x10 C

 2.1 In the Millikan experiment, an oil drop carries four electronic charges (3)

and has a mass of 1.8 x 10-12 g. It is held almost at rest between two horizontal charged plates 1.8 cm apart. What voltage must there be between the two charged plates? (Take electron charge e = 1.60 x 10-19 C)

3.0 Compute the energy stored in a 60𝑝𝐹 capacitor (5)

a) When Charged to a potential difference of 2𝑘𝑣

b) When the charge on each plate is 30𝑛𝐶


A potential difference of 100 V is applied to the primary coil of a transformer. The current through the primary coil is 2.0 A. The potential difference across the secondary coil is 15 V


Calculate the current flowing through the secondary coil.


3. The position of a particle moving along the x-axis is given by x = 7t^2 + 2t^3, where x is in meters and t is in seconds. Determine the following, when t = 1.4 s:

(a) The position (2) (b) The velocity (2) (c) The acceleration (2)


A university graduate standing on the ground fires a rocket into the atmosphere at a velocity of 4000 m/s at an angle of 20o to the vertical axis. Determine (g = 9.8 m/s2):

(a) The time of flight (3) (b) The maximum level


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