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A block of mass 5 kg is placed on a frictionless inclined plane making an angle of 3 0 with the horizontal. Calculate the acceleration

A block of mass 5 kg is placed on a frictionless inclined plane making an angle of 30 with the horizontal. Calculate the acceleration of the block and the time it takes to slide 2 meters down the plane from rest.
Electromagnetism:
A circular loop of radius 0.1 meters carries a current of 5 A. Calculate the magnetic field at the center of the loop.
Thermodynamics:
A Carnot engine operates between two heat reservoirs at temperatures of 500 K and 300 K. If the engine absorbs 600 J of heat from the hot reservoir, calculate the work done by the engine and the heat rejected to the cold reservoir.
Optics:
A double-slit experiment is performed with light of wavelength 600 nm. The slits are separated by 0.5 mm and the screen is 2 meters away from the slits. Calculate the distance between the central maximum and the first-order maximum on the screen.
Quantum Mechanics:
Calculate the energy of the first excited state of an electron in a one-dimensional infinite potential well of width 0.1 nm. Use the particle in a box model.
Electric Circuits:
A series RLC circuit has a resistance of 10 ohms, an inductance of 0.1 H, and a capacitance of
10
10F. Calculate the resonant frequency of the circuit.
Relativity:
Calculate the relativistic kinetic energy of an electron moving at 0.8c, where
c is the speed of light.
Fluid Mechanics:
Water flows through a pipe of diameter 0.2 meters with a velocity of 2 m/s. Calculate the Reynolds number and determine whether the flow is laminar or turbulent. Assume the kinematic viscosity of water is
1
1
0
6
2
/
110
6
m
2
/s.
Astrophysics:
Calculate the Schwarzschild radius of a black hole with a mass 10 times that of the Sun. Use the formula
=
2
2
R
s
=
c
2
2GM
, where
G is the gravitational constant,
M is the mass, and
c is the speed of light.
Nuclear Physics:
A sample contains 1 gram of
238
238
U. Calculate the number of
238
238
U atoms in the sample and the activity (decay rate) if the half-life of
238
238
U is
4.468
1
0
9
4.46810
9
years.
Why is SQL in database why it need for daily life

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