Find the quality factor of a mathematic pendulum `l=50 cm` long if during the time interval `tau=5.2 ` min its total mechanical energy decreases `eta=4.0.10^(4)` times.

A narrow beam of alpha particles with kinetic energy T== 0.50 MeV falls normally on a golden foil whose t=mass of thickness is rho d= 1.5 mg//cm^(2) The beam intensity is I_(0)= 5.0.10^(5) particles per second. Find the number of alpha particles scattered by the foil during the time interval tau=30 m in into the angular interval: (a) 59-61^(@) , (b) over theta_(0)=60^(@) .

Determine the period of small oscillations of a mathematical pendulum, that is a ball suspended by a thread l=20 cm in length, if it is located in a liquuid whose density is eta=3.0 times less than that of the ball. The resistance of the liquid is to be neglected.

Determine the period of small oscillations of a mathematical pendulum, that is a ball suspended by a thread l=20 cm in length, if it is located in a liquid whose density is eta=3.0 times less than that of the ball. The resistance of the liquid is to be neglected.

Find the quality factor of the oscillator whose displacement amplitude decreases eta =2.0 times every n=110 oscillation.

Damped oscillations are induced in a cirucuit whose quality factor is Q=50 and natural oscillation frequency is v_(0)=5.5 kHz . How soon will the energy stored in the circuit decrease eta= 2.0 times ?

The time period of a simple pendulum is 2 s. The mass of its bob is 10 g and the bob is oscillating with an amplitude of 4 cm. What is the total mechanical energy of the bob?

A capacitor filled with dielectric of permittivity epsilon = 2.1 losses half the charge acquired during a time interval tau = 3.0 min . Assuming the charge to leak only thorugh the dielectric filler, calculate its resistivity.

The time period of a simple pendulum is 4.25. When its length is decreased by 1m its period is 3.75. Find the original length of the pendulum.

At the moment t=0 a particle leaves the origin and moves in the positive direction of the x-axis. Its velocity varies with time as v=v_0(1-t//tau) , where v_0 is the initial velocity vector whose modulus equals v_0=10.0cm//s , tau=5.0s . Find: (a) the x coordinate of the particle at the moments of time 6.0 , 10 , and 20s , (b) the moments of time when the particles is at the distance 10.0cm from the origion, (c) the distance s covered by the particle during the first 4.0 and 8.0s , draw the approximate plot s(t) .