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What is the angular velocity of an object traveling in a circle of radius 0.75 m with a linear speed of 3.5 m/s?
1. Mark bought a pizza of a radius of 0.5 m. A fly lands on the pizza and walks around the edge for a distance of 80 cm. Calculate the angular displacement of the fly?
3) Steam enters a turbine from a height of 6 m, at 50m/s speed at 2MPa pressure and 350C, and after 8.5kW heat loss to the environment, it exits the turbine at 0.1Mpa pressure, with a dryness degree of 0.92, from a height of A meter at a speed of 200m/s. (A indicates a single number height)
a) Develop the expression of the 1st Law of thermodynamics by analyzing the energy of this turbine.
b) Calculate the power of the turbine if the mass of the steam entering the turbine is 1.5kg/s.
4) At E C, 30mL of coffee is forgotten in a thermos glass. If fresh coffee is added to the cooled coffee at F C, the temperature of the coffee rises to GC under room conditions. Calculate the amount of coffee added to the thermos. A two-digit number ending in 0 or 5, where E < G < F)
1) a) What is the difference between open and closed systems, explain on 2 examples each.
b) Show the processes applied to an ideal gas on the P-V diagram with their names.
2) 10 kg of air is contained in a constant volume container at a temperature of AAC and a pressure of 150kPa. How much air is pressed into the container, its pressure is 250kPa and its temperature is BBC? (AA and BB are a two-digit number ending in 0 or 5)
A long copper wire with radius of 1.0 mm carries a uniform surface charge density of 5.0 x 10^-6 C/m².
a. Find the total charge in a 1.0-meter-long section of the wire.
b.. Find the magnitude of the electric field at a distance of 15 cm from the wire.
A solid sphere of mass 2 kg and a massless string of total length 4 meters which is wrapped around the equator of the sphere (total length includes the length of wrapped string and the length of the string hanging from the ceiling). The sphere then falls vertically while rolling down (without slipping) the whole wrapped string and falls on top of an inclined plane. Due to the collision with the inclined plane, it loses all its kinetic energy within a very short time and starts rolling along the inclined plane with zero initial velocity. Consider that a total of 10 Joules of energy is lost during the motion of the sphere along the planes. The magnitude of gravitational acceleration g = 9.8 𝑚/𝑠2.
a. Find the value of the moment of inertia of the sphere about its axis of rotation.
b. What is the magnitude of angular velocity of the sphere when it touches the inclined plane?
c. How far along the second inclined plane (45º) on the right will the center of the sphere travel before it comes to a stop?
As shown in the figure, a very small block of mass m is pushed against a spring of spring constant
k. After some finite compression of length l, the block is released and it leaves the spring and
slides through a horizontal surface. The kinetic friction force between this block and the horizontal
surface is μk = bx, where b is a positive constant. It then slides along a frictionless circular loop
of radius R. Gravitational force is acting vertically downward and the magnitude of gravitational
acceleration is g. When the block reaches at the top of the loop, the force of the loop on the block
(the normal force) is equal to twice the gravitational force on the mass.
(a) Find the work done on the block by the kinetic friction force while it travels from x = 0
to x = d along the horizontal surface.
(b) Find the tangential velocity of the block at the top point of the circular loop.
(c) Find an expression of l in terms of some or all of the following: g, d, b, k, R and m
A 25.0 kg door is 0.925 m wide. A customer pushes it perpendicular to its face with a 19.2 N force, and creates an angular acceleration of 1.84 rad/s2. At what distance from the axis was the force applied?
A large number of neon atoms are in thermal equilibrium. What is the ratio of the number of atoms in a 5s state to number in 3p state at (a) 300K; (b) 600K; (c) 1200K? The energy difference between two states is 1.96 eV. (d) at any of these temperatures, the rate at which a neon gas spontaneously emits 632.8nm radiation is quite low. Explain why?
As the depth of liquid decreases the pressure?
