Classical Mechanics Answers

a) The resistor of an RC circuit has a resistance of 10 MΩ, the time constant is 1 s. What is the capacity of the capacitor? b) To what percent of the original value does the voltage of the capacitor decrease in 2 s?

A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by𝑥(𝑡)=𝑏𝑡2−𝑐𝑡3,𝑤ℎ𝑒𝑟𝑒𝑏=2.4𝑚𝑠−1𝑎𝑛𝑑𝑐=0.120𝑚𝑠−3(a)Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s.(b)Calculate the instantaneous velocity of the car at t =0, t = 5.0 s and t = 10.0 s.

water from a dam is channeled through a pipe unto a turbine for electricity generation.the pipe is 1.0 diameter and is always full of water.the water flows at a speed of 1.7m/s.the turbine was located 22m lower than the top of the dam wherr the water drops.the turbi e which operates at an efficiency of 80% drives a generator whuch has 5% losses due to friction.the actual power produced leaves the sub station after another 6% loss from transformers.calculate the actual power produced.

8. Find the law of motion of a particle in the field U(x)=-Cx^4 ,if it is Total energy is zero ( C is positive constant)

Find the initial velocity and time for a stone when it will hit a target A fixed on a wooden block

P placed at coordinate (3,1.25)metres. At t=0, the wooden block begins motion towards the right

with an acceleration of 1.5m/s

2

.At the same moment, a stone is projected with velocity u from

origin towards the falling block. The hitting is seen to be occurring at 45

o

to the horizontal by a

stationary person standing on ground for the stone during its downward motion.

A half section of a uniform cylinder of radius r and mass m rests on two casters A and B, each of which is a uniform cylinder of radius r/4 and mass m/8 (see fig. 8). Knowing that the half cylinder is rotated through a small angle and released and that no slipping occurs, determine the frequency of small oscillations

A truck’s speed increases uniformly from 15 km/h to 60 km/h in 20 s. Determine (a) the average speed, (b) the acceleration, and (c) the distance travelled, all in units of meters and seconds.

A puck with a mass of 0.170 kg has a velocity of + 90.0 km/h. The momentum of the puck is

1.Mark decides to go swimming in the river to cool off Mark is able to swim at 2.6 m/s in calm water. He aims straight South (River runs east west) across the river which has a current of 1.1 m/s East. 

a. Determine Mark’s velocity as seen from the river bank.

b. If it takes him 23 seconds to travel across the river, how far downstream did he end up after his swim

An object starts from rest at time t = 0.00 s and moves in the +x direction with constant acceleration. The object travels 12.0 m from time t = 1.00 s to time t = 2.00 s. Calculate the acceleration of the object.