To solve this problem we need to use the emf equation, that is,
Where E is the induced emf
I the current in the first coil
M the mutual inductance
Solving for a)
Solving for b) we need the FLux through each turn, that is
Where N is the number of turns in the second coil
Average density is defined by following formula
here in order to find out the average density of helium we can fill a balloon of helium gas and then we can find it's volume and its mass.
The ratio of mass and volume of that balloon will help us to find the average density of helium
So by the above experiment the average density of helium is approx 0.179 kg/m^3.
Answer:
a) -5.26 m/s
b) 27.91 m
Explanation:
a) The acceleration due to gravity makes the velocity increase in magnitude in a linear way. The average velocity over the interval will be equal to the actual velocity halfway through the interval. The velocity at the beginning of the interval will be higher (less negative) by the amount velocity changes in the first half of the interval.
average velocity = (0 -(26.5 m))/(1.85 s) ≈ -14.324 m/s
The change in velocity in the first half of the interval is ...
Δv = (Δt/2)×(-9.8 m/s²) = (1.85 s)(-4.9 m/s²) = -9.065 m/s
So, the initial velocity (at the beginning of the last 1.85 s interval) is ...
v1 = (average velocity) -Δv = (-14.324 m/s) -(-9.065 m/s)
v1 = -5.259 m/s
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b) The velocity when the object hits the ground is ...
v2 = average velocity +Δv = -14.324 m/s -9.065 m/s = -23.389 m/s
This is related to the distance traveled by ...
v² = 2dg . . . . . where g is the acceleration and d is the distance traveled
d = v²/(2g) = 23.389²/(2·9.8) = 27.911 . . . . meters
The object travels a total distance of about 27.911 meters.
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The attached graph shows height vs. time.
Answer:
D) Reduce the internal friction of the engine's parts.
Explanation:
To increase the efficiency of the car's engine, an engineer most like has to reduce the friction within the internal engine parts. Reducing these friction reduces the useful energy lost as heat in these internal parts of the engine, when the engine parts do work against friction to move. In most everyday activities, engines and machines, energy is usually lost as heat due to frictional forces arising from two or more surfaces in contact.
You just told us that it's 200g of water. So it doesn't matter what happened to it. If you were telling us the truth right at the beginning of the question, then the mass of the water is 200g.