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A pion is created in the higher reaches of Earth's atmosphere when an incoming high-energy cosmic-ray particle collides with an atomic nucleus. A pion so formed descends toward Earth with a speed of 0.97c. In a reference frame in which they are at rest, pions decay with an average life of 28 ns. As measured in a frame fixed with respect to Earth, how far (on the average) will such a pion move through the atmosphere before it decays?
A small coil with N_2 loops each of area A_2, is placed inside a long solenoid, near its center. Determine the mutual inductance as a function of theta, the angle of the plane between a small coil and the axis of the solenoid
When 3880 J of heat are added to a 0.159-m-long silver bar, its length increases by 4.31 x 10-3 m. What is the mass of the bar
A 61 kg speed skater with the velocity of 16 m/s comes into a curve of 18 m radius. How much friction should be exerted between skates and ice to negotiate the curve.
A 775-g object undergoes an acceleration given by = (2.00 ? + 5.00 ?) m/s , find the resultant force acting on the object
A rock is dropped from a high tower and falls freely under the influence of gravity. Which one of the following statements concerning the rock as it falls is true? Neglect the effects of air resistance.
An ordinary workshop grindstone has a radius of 7.50 cm and rotates at 6000 rpm. What is the linear speed of a point on its edge
A solid, uniform sphere of mass 2.0 kg and radius 1.7 m rolls without slipping down an inclined plane of height 1.7 m. What is the angular velocity of the sphere
a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. calculate the structure's rotational inertia about the axis of rotation
q1. a coiled telephone cord forms a spiral with 56 turns a diameter of 1.30 cm and an unstretched length of 60.0 cm.
An automobile tire has a radius of 0.335 m, and its center moves forward with a linear speed of v = 16.1 m/s. Determine the angular speed of the wheel
A hollow, conducting sphere with an outer radius of 0.252 m and an inner radius of 0.210 m has a uniform surface charge density of +6.57×10?6 C/m^2. find the new charge density on the outside of the sphere
An electron moves from the initial position r = (0.1m)I to final position r=(0.2m)j. what is the surface charge density (i.e. charge per area) on the inner surface of the conducting sphere
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