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The positive kaon (K+) which is an elementary particle has on average a lifetime of 0.1237µs when measured in the rest frame of the kaon. Kaons moving with a speed of 0 .990c relative to the laboratory reference frame are produced.
a) Which frame has the proper time?
b) How far can the kaons travel in the laboratory frame during their lifetime?
A heating element using nichrome connected to a 230 V supply draws an initial current of 3.2 A which settles after a few seconds to a steady value of 2.8 A. What is the steady temperature of the heating element if the room temperature is 27.0 °C? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70 x 10-4 °C1.
Find the centre and radius of the equation of the circle. 2x^2+2y^2-8x+5y+10=0
Use a scale drawing and find the x and y components of the following
vectors.In each case the magnitude of the vector and the angle measured
counterclockwise from the +x-axis.

a. Magnitude = 9.0 m , angle = 60°
b. Magnitude = 15.0 km, angle = 315°
c. Magnitude = 4.6 cm, angle = 14°
Enumerate the action-reaction pair/s
a) when a ball hits a ball
b) when a book rests on a table
Three forces F1, F2, and F3 acting on a particle are in equilibrium.
a) write an equation to represent the equilibrium of the forces F1,F2 and F3.
b) draw a vector diagram to represent the equation (a).
A proton with the rest mass of 1.67 x 10 kg is initially moving at 0.90c in the +z-direction, relative to the reference frame of a physics laboratory. Then a constant force

F = (-3.0 x 10 12 N) i+ (5.0 × 10- N)j

is applied to the proton. What is the angle between the applied force and the resulting acceleration of the proton?

 At a distance of 55 million light years from Earth, and with a mass equal to 2.4e12 solar masses, calculate the angular diameter of that black hole's event horizon as viewed from the Earth. (express your answer in arcseconds)

An object is released from rest and falls under the action of gravity. After time, t, its momentum is
A stone of mass 0.15 kg is fired from a catapult. The velocity of the stone changes from 0 to 4.0 m/s in 0.50 s. What is the average resultant force acting on the stone while it is being fired?
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