Answer: 0.66 V
Explanation:
Given
Magnetic field, B = 0.963 T
Instantaneous rare = 74.5 cm/s = 0.745 m/s
radius, r = 14.7 cm = 0.147 m
We will use the formula
emf = dΦ/dt
emf = d(BA)/dt
emf = d(Bπr²)/dt
if B is constant, then we can say
emf = Bπ d(r²)/dt on differentiating, we have,
emf = Bπ (2r dr/dt)
emf = 2πrB dr/dt substituting each values, we have
emf = 2 * 3.142 * 0.147 * 0.963 * 0.745
emf = 0.66 V
Therefore, the induced emf in the loop at that instant is 0.66 V
7kinetic energy is decreasing in B
The escape velocity on Venus is 9761 m/s
Explanation:
The escape velocity from a planet is the speed that an object on the surface of that planet must have in order to completely escape the gravitational field of the planet.
Mathematically, it is calculated as

where
G is the gravitational constant
M is the mass of the planet
R is the radius of the planet
For Venus, we have:
is the mass
is the radius
Substituting, we find the escape velocity on Venus:

Learn more about velocity:
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Explanation:
a) The height of the ball h with respect to the reference line is

so its initial gravitational potential energy
is



b) To find the speed of the ball at the reference point, let's use the conservation law of energy:

We know that the initial kinetic energy
as well as its final gravitational potential energy
are zero so we can write the conservation law as

Note that the mass gets cancelled out and then we solve for the velocity v as



Answer:
4.1%
Explanation:
Given that water specific heat c = 4186 J/kgC. If water is flowing with mass rate of 200kg/s and temperature is dropping from 200C to 25C. Then the thermal energy rate from the water should be
or 146510kW
Since the turbine is only able to extract 6000kW of power, then the thermal efficiency is:
or 4.1%