Time Dilation: A certain unstable particle has a mean lifetime of 1.52 × 10-6 s. This is the time interval between its creation in a nuclear process and its extinction into decay products, as measured in a frame of reference at rest with respect to the particle. An average such particle is observed by a scientist on Earth to travel 342 m in its lifetime. What is the speed of the particle relative to Earth? (c = 3.00 × 108 m/s)
A. 0.821c
B. 0.681c
C. 0.600c
D. 0.551c
E. 0.335c
Answer: C
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A uniform rod (mass = 1.5 kg) is 2.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a horizontal position. What is the angular speed of the rod when the rod makes an angle of 30° with the horizontal? (The rotational inertia of the rod about the pin is 2.0 kg/m2)
a. 2.2 rad/s b. 3.6 rad/s c. 2.7 rad/s d. 3.1 rad/s e. 1.8 rad/s
Explain why the laser beams used in inertial confinement fusion are even in number (such as 16 or 32)
What will be an ideal response?
A very light 1.00-m wire consists of two segments of equal length, one of steel (Young's modulus is 2.00 × 1011 N/m2 )
and one of brass (Young's modulus is 9.0 × 1010 N/m2 ). The steel segment is 1.50 mm in diameter, and the brass segment has twice this diameter. When a weight w is hung from the ceiling by this wire, the steel segment stretches by 1.10 mm. Find the weight w. A) 190 N B) 390 N C) 780 N D) 1000 N E) 3100 N