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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!
A 1kg of water initially at 25 degrees Celsius is brought to boil at 100 degrees. This process is then continued until all the water is completely turned into steam and evaporate. How much heat energy was used in the process if the Latent heat of vaporization is 2260kJ/kg?
parallel to each other.
The variation of speed V of each car with respect to
time is represented in the adjacent figure.
Initially, at to=0 , the two cars start from origin O.
1. Indicate, with justification, the nature of motion
of each car.
2. Indicate the initial speed Vo of each car.
3. Determine the acceleration a1 and a2 of car (A) and car (B)
respectively.
4. Write as a function of time the equation of speed of each car.
5. Show that the time equation of motion of each car is:
XA= t2+2t and XB= -t
2+10t .
6. Determine the position of each car at the instant when the two cars
have same speed.
7. Deduce the distance separates the two cars when they have same
speed .
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.
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.
A 6 L bottle contains 16·1023 N2 molecules. Find the
a) amount of substance and
b) the pressure of the nitrogen gas if its temperature is 0 °C and it is considered ideal.
Could you explain b) in detail please?
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) = ro, v(0) = vo, at t=0).
