Mechanics | Relativity Answers

The speed of sound v in a medium depends on its wavelength λ, the young modulus E, and the density ρ, of the medium. Use the method of dimensional analysis to derive a formula for the speed of sound in a medium

The speed of sound V in a medium depends on it's wavelength , the young modulus E, and the density p, of the medium. Use the method of dimensional analysis to derive a formulas for the speed of sound in a medium .

A,B I a wood weighing 200N it is pivoted at A and held in suspension at B with an in extensible string calculate the tension in the string

Particles of mass m1 and m2 (m2>m1) are connected by a large inextensible string passing over a smooth fixed pulley. Initially both masses hang vertically with mass m2 at a height X above the floor. If the system is released from rest, what speed will mass m2 hit the floor and the mass m1 will rise a further distance (m2-m1)x/m1+m2 after this occurs

a hobo wishes to catch a freight train that stands in front of a train station. he waits 50 ft behind the train, whose last car is 50 ft from the station. as the train starts to leave the station with an acceleration of 2 ft/s^2, the hobo runs toward the train at a constant speed of 15 ft/s. will he catch the train before the last car reach the station or will he have to run past the station to catch the train?

Particles of mass m1 and m2 (m2>m1) are connected by a large inextensible string passing over a smooth fixed pulley. Initially both masses hang vertically with mass m2 at a height X above the floor. If the system is released from rest, what speed will mass m2 hit the floor and the mass m1 will rise a further distance (m2-m1)x/m1+m2 after this occurs

Calculate the sum of the external forces acting on the mass of its mass 2, whose velocity is 5

A car of negligible size is travelling from A to B with 5 s, from B to C with 4 s, from C to D with 3 s, then the car rolls off at D in projectile motion to cross the pit EF. The angles of AB and CD with horizontal are given as 30° and 50° respectively.(a) (i) Find the average speed from A to D.(ii) Find the displacement from A to D in unit vector form.(iii) Find the average velocity from A to D in unit vector form.(iv) Find the magnitude and angle (with horizontal) of the average velocity from A to D.

The position of a particle as a function of time is given by x=(2.0m/s)t+(−3.0m/s^3)t^3. Plot x versus t for time from t=0 to t=1.0s. Find the average velocity of the particle from t = 0.35 s to t = 0.45 s . Find the average velocity of the particle from t = 0.39 s to t = 0.41 s .

Justify the following statement"the law of consevation of linear momentim,as applied to a single particle,is equivalent to newton first law of motion"