The number of radians (d) that the wheel have turned may be calculated by the equation,
d = (v1)(t) + 0.5 x a x t²
where v1 is the initial velocity, a is the acceleration, and t is time. Substituting the known values
d = (18 rad/s)(3s) + (0.5) x (-2 rad/s²) x (3s)²
The value of d is 63 radians.
Answer:
a).
b).
Explanation:
For the block that stays on the track, its maximal height is attained when all of the kinetic energy is converted to potential energy
a).
The height for the block on the longer track can by find using this equation:
Cancel the mass as a factor in each element in the equation
b).
The other lost some kinetic energy so, use a projectile motion to determine the total height for the other bock:
Solve to v'
Driving a motor........
chemical energy is converted into kinetic energy.
Falling off of cliff
.........gravitational potential energy is converted into kinetic energy.
Hydroelectric energy generation
.......gravitational potential energy is converted into kinetic energy (i.e. driving a generator), which is then converted into electrical energy.
Nuclear power generation
.........mass is converted into energy, which then drives a steam turbine, which is then converted into electrical energy.
The electric flux through the hole is .
- Electric flux is the number of electric field lines cutting through the surface and is measured as surface intregal of electric field over that surface
- Mathematically it is given by where E is the electric field and A is the area.
- Gauss's law states that electric flux through closed surface is equal to the 1 / ε₀ times the charge enclosed by that surface which is given by Ф = q / ε₀ where q is the central charge and ε₀ is the permittivity of the medium.
It is given , hollow sphere of radius 10.0cm surrounds a 10.0-μC charge.
The whole surface of hollow sphere
Area of the hole ( both side )
According to Gauss's theorem, the flow from a particular charge in the center is given by
This flux flows through the surface of the sphere, so the flux per unit area which is given by
Flux through area of hole is given by :
Learn about more electric flux here :
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