Classical Mechanics Answers

Your materials are a plank of wood, a ruler, protractor, and photo gate. Describe an experiment below

for determining the coefficient of kinetic friction between the plank of wood and the tissue box. Assume that you are on Earth

and the downwards direction is negative and the upwards direction is positive and that the mass of the tissue box is 143.7 grams.

 A particle of mass m moves according to laws x=A·cosωt and y=B·sinωt. Find the force acting on thisparticle in each point of its trajectory.

Find the law of motion of a particle in the field U(x) = – Bx², if its total energy is zero (B is positive constant). 

 A particle of mass m moves under action of force F = – kr (k is positive constant). Find r(t) and v(t). (Boundary conditions r(0) = r_o, v(0) = v_o, at t=0). 

 A particle of mass m moves in uniform gravitational field in medium with resistance directly proportional to the velocity, i.e.F_res = – kv (k is positive proportionality coefficient). Find r(t) and r(t), if  r(0) = r_o{0;0;r_o}, and v(0) = v_o{v_ocosθ; 0; v_osinθ}.

In a bath, a plane wave propagates from the shallow part towards the suddenly deep part. As it passes the interface from shallow to deep, it refracts. The angle of incidence is 22º, the angle of refraction 31º. a) In which part is the speed of sound greater and by how many percent? b) Calculate the wavelength in the shallow part if it is 5.5 cm in the deeper part!

If you could explain in detail itd be great!

Which statement is true?

A: In case of longitudinal waves the direction of oscillation and propagation are perpendicular to each other.

B: Mechanical waves can only be transverse.

C: Mechanical waves propagate as transverse waves only in solid materials (and partially on liquid surfaces).

D: Waves always carry material.

Waves are propagating on the surface of water towards the shore with a velocity of 1.5 m/s. The distance between two neighboring crests is six meters. There is a piece of wood somewhere further in the water that turns up and disappears periodically as the water waves when you are looking at it from the shore. Calculate the time interval between two turn-ups.

If you could explain in detail itd be great!

Let us consider a swing as a harmonic oscillator! The velocity of the swing at the lowest position is 3 m/s. The acceleration at the highest point is 3 m/s2 . Write down the displacement-time function!

The parameters of the spring oscillator shown by the figure are: m = 3 kg and k = 300 N/m. We displace the ball to the left by s = 10 cm from the equilibrium position, then release it. Let us assume there is no loss of energy in the system! Calculate:

a) the natural frequency of the system,

b) the period of the oscillation,

c) the amplitude of the oscillation! 

The period of a mass-on-spring oscillator is 3 seconds. Upon decreasing its mass by 500 g, the period will become 2 seconds.

a) Calculate the original mass!

b) Calculate the spring constant! 

Could you please explain in detail how to use the equation below?

A ball (m=0.8 kg) falls to the floor from a height of 2 m and bounces back to a height of 1.2 m. Calculate the amount of energy lost due to air drag and collision with the ground.

Could you please explain it in detail?