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.
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°
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)
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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