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A "torsional pendulum" comprises a uniform vertical quartz fiber attached to the top of a uniform solid sphere of mass m = 2 kg and radius r = 0.1m. The fiber exerts a torque on the sphere that is proportional to the amount it has been twisted: torque= -k? theta, with ? = 0.7 Nm/radian. (Here the direction of the vector ?theta points parallel or antiparallel to the fiber direction.) Following the derivation of the equation of motion for a mass on a spring that we did in class, calculate the period of rotational motion of the sphere about its vertical axis. If the sphere is initially given an angular velocity of 1.5 radians/s when the fiber is relaxed, what is the angular amplitude of the subsequent motion?
Zach, whose mass is 71kg , is in an elevator descending at 13m/s . The elevator takes 5.0s to brake to a stop at the first floor. What is Zach's apparent weight while the elevator is braking
If the electric field strength in air exceeds 3.0 ? 106 N/C, the air becomes a conductor, determine the maximum amount of charge that can be carried by a metal sphere4.9 m in radius
A 60 kg skier skis a distance of d=200 m down a q=15o incline starting from rest. His speed at the bottom of the hill is 5 m/s. What was the NET work done on the skier
a proton moves vertically upward perpendicular to a uniform magnetic field and deflects to the right as you watch it. What is the direction of the magnetic field
A particle attached to a spring with k 50 N/m is undergoing simple harmonic motion, and its position is described by the equation x (5.7 m)cos(7.5t), What is the maximum potential energy
A line of charge starts at x = +x0 and extends to positive infinity. The linear charge density is ? = ?0x0/x, Determine the electric field at the origin
An object's moment of inertia is 1.8kgm2 . Its angular velocity is increasing at the rate of 3.3rad/s2, What is the torque on the object
assume that a receiver has first amplifier stage with a 5k ohms input resistance, a power gain of 300, an input audio signal of 20uV, and an operating temperature of 27 Celsius.
A red blood cell typically carries an excess charge of about -2.5 × 10-12 C distributed uniformly over its surface. How many excess electrons does a typical red blood cell have
consider an atomic nucleus to be equivalent to a one-dimentional infinite potential well. what is the wavelength of the emitted light
question1two towers have heights of 420 m and 565 m. if objects were dropped from the top of each what would be the
A 23-g bullet traveling 270m/s penetrates a 1.8kg block of wood and emerges cleanly at 195m/s. how fast does it move after the bullet emerges
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