Answers
Hope this helps!
Answer:
At a higher velocity.
Related Questions
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A boat that travels 3.00 m/s relative to the water is crossing a river that is 1.00 km wide. The destination on the far side of the river is 0.500 km downstream from the starting point. (a) If the river current is 2.00 m/s, in what direction should the boat be pointed in order to reach the destination? (b) How much time will the trip take?
Why is there so much more carbon dioxide in the atmosphere of Venus than in that of Earth? Why so much more carbon dioxide than on Mars?
A vertical straight wire carrying an upward 24-A current exerts an attractive force per unit length of 88 X 104N/m on a second parallel wire 7.0 cm away. What current (magnitude and direction) flows in the second wire?
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Final answer:
To find the new angular momentum of the system if each of the masses were solid spheres, calculate the moment of inertia for each sphere using the formula (2/5) × m × r^2. Multiply the moment of inertia of each sphere by the angular velocity of the system to find the new angular momentum.
Explanation:
The angular momentum of a system can be found by multiplying the moment of inertia of the system with its angular velocity.
If each of the masses were instead a solid sphere 15.0 cm in diameter, we would need to calculate the moment of inertia of each sphere using the formula for the moment of inertia of a solid sphere, I = (2/5) × m × r^2, where m is the mass and r is the radius of the sphere.
Once we have the moment of inertia for each sphere, we can multiply it by the angular velocity of the system to find the new angular momentum.
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Final answer:
The new angular momentum, given the same angular speed, will be 0.9 times the original, as the moment of inertia for the system is replaced with that of solid spheres of given mass and radius.
Explanation:
The question is asking for the new angular momentum of a sphere with a given diameter if we replace each of the masses in a given system with it. To compute the new angular momentum, it's crucial to recognize that angular momentum (L) is given by the product of the moment of inertia (I) and angular velocity (w). The moment of inertia for a solid sphere is given by (2/5)mr^2, where m is the mass and r is the radius of the sphere. Since angular velocity has not been specified in the question, it would be assumed to remain unchanged.
So, for this specific system, each mass is replaced with a solid sphere of mass 20 kg and radius 15 cm (or 0.15 m). Thus using the formula for solid sphere inertia, I = (2/5)*(20 kg)*(0.15 m)^2 = 0.9 kg*m^2. If w remains the same, then the new angular momentum L = I * w will be 0.9 times the original angular momentum. This is because w is the same but the moment of inertia has a new value due to the shape and size of the new masses.
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Answers
(a) Length of the wire is 3.162 m
(b)Power delivered to the coil is 339.7 W
Electrical Power:
The electrical power is given by
P = V² / R
R = V² / P
Resistance of the heating coil, R
R = (110² / 500)
R = 12100 / 500
R = 24.2 Ω
Now the resistivity of a wire is given by
ρ= RA/L
here ρ = 1.50×10⁻⁶ Ωm
so after rearranging we get:
L = RA / ρ
Now, the radius of wirer = 0.5 / 2 mm = 0.25 mm = 2.5×10⁻⁴ m
So the cross sectional area can be calculated as follows
hence,
(b)The dependency of resistance with temperature is as follows:
R = R₀[1 + αΔT]
α = for Nichrome
So the power generated is :
P = V² / R
P = (110² / 35.62)
P = 12100/ 35.62
P = 339.70 watts
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Answer:
a) 3.162 m
b) 339.7 W
Explanation:
Assume ρ = 1.50*10^-6 Ωm, and
α = 4.000 10-4(°C)−1 for Nichrome
To solve this, we would use the formula
P = V² / R
So when we rearrange and make R subject of formula, we have
R = V² / P
Resistance of the heating coil, R
R = (110² / 500)
R = 12100 / 500
R = 24.2 ohms
Recall the formula for resistivity of a wire
R = ρ.L/A
Again, in rearranging and making L subject of formula, we have
L = R.A / ρ
To make it uniform, we convert our radius from mm to m.
Diameter, D = 0.5 mm
Radius of wire = 0.5 / 2 mm = 0.25 mm = 0.00025 m
We then use this radius to find our area
A = πr²
A = π * 0.00025²
A = 1.96*10^-7 m²
And finally, we solve for L
L = (24.2 * 1.96*10^-7 / 1.50*10^-6) =
L = 3.162 m
(b)
Temperature coefficient of resistance.
R₁₂₀₀ = R₂₀[1 + α(1200 - 20.0) ]
R₁₂₀₀ = R₂₀[1 + α(1180) ]
R₁₂₀₀ = 24.2[ 1 + 4.*10^-4 * 1180 ]
R₁₂₀₀ = 24.2[1 + 0.472]
R₁₂₀₀ = 24.2 * 1.472
R₁₂₀₀ = 35.62 ohms
Putting this value of R in the first formula from part a, we have
P = V² / R
P = (110² / 35.62)
P = 12100/ 35.62
P = 339.70 watts
Answers
Answer:
Explanation:
The average speed of a body is defined as the ratio between total distance and total time
v = dx / dt
v = 162.0 / 2.95
v = 54.9 m / s
The absolute errors (uncertainties) of the distance and time measurements as measured with instruments are the errors of the instruments
Δx = 0.1 cm
Δt = 0.01 s
Relative errors (uncertainties) are the absolute errors between the measured value
Er = Δx /x
Er = 0.1 / 162.0
Er = 6.2 10⁻⁴ length
Er = 0.01 / 2.95
Er = 3.4 10⁻³ time
The most uncertain measure is the time to have a greater relative error
Let's calculate the relative speed error
Δv / v = dv / dx dx + dv / dt dt
dv / dx = 1 / t
dv / dt = x (-1 / t²)
Er = Δv / v = 1 / t Δx + x / t² Δt
Er = 0.1 / 2.95 + 162.0/2.95² 0.01
Er = 0.034 + 0.19
Er = 0.22
We can observe that the relative error of time is much higher than the relative error of distance, so to reduce the speed error, time must be measured with much more precision
Absolut mistake
Er = Δv / v
Δv = Er v
Δv = 0.22 54.9
Δv = 12 cm / s
v± Δv = (5 ±1 ) 10 cm/s
When calculating the relative uncertainty, it is known which magnitude should be more precisely medical to reduce the total error of a derived magnitude
Answers
Answer:
a)
492 kJ
b)
Consistent
Explanation:
Q = Heat stored by woman from food = 600 k J
η = Efficiency of woman = 18% = 0.18
Q' = heat transferred to the environment
heat transferred to the environment is given as
Q' = (1 - η) Q
Inserting the values
Q' = (1 - 0.18) (600)
Q' = 492 kJ
b)
Yes the amount of heat transfer is consistent. The process of sweating produces the heat and keeps the body warm
Final answer:
A woman climbing the Washington Monument metabolizes food energy with 18% efficiency, meaning 82% of the energy is lost as heat. When we calculate this value, we find that 492 kJ of energy is released as heat, which is consistent with the fact that people quickly warm up when exercising.
Explanation:
The woman climbing the Washington Monument metabolizes 6.00×10² kJ of food energy with an efficiency of 18%. This implies that only 18% of the energy consumed is used for performing work, while the remaining (82%) is lost as heat to the environment.
To calculate the energy lost as heat:
- Determine the total energy metabolized, which is 6.00 × 10² kJ.
- Multiply this total energy by the percentage of energy lost as heat (100% - efficiency), which gives: (6.00 × 10² kJ) * (100% - 18%) = 492 kJ.
The released heat of 492 kJ is consistent with the fact that a person quickly warms up when exercising, because a significant portion of the body's metabolic energy is lost as heat due to inefficiencies in converting energy from food into work.
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b) The speed attained at a particular instant in time.
c) The speed that can be reached in a particular amount of time.
PLEASE HURRY
Answers
Answer:
The speed attained at a particular instant in time.
Explanation:
Instantaneous speed is the speed attained at a particular instant in time.
It is given by :
It is equal to the rate of change of speed.
It can be also defined as when the speed of an object is constantly changing, the instantaneous speed is the speed of an object at a particular moment (instant) in time.
Hence, the correct option is (b).
Answers
Answer:
60 %
Explanation:
Efficiency is defined as the ratio of output power to the input power.
Input energy each hour = 9 x 10^12 J
Output energy each hour = 5.4 x 10^12 J
Efficiency = Output energy per hour / input energy per hour
Efficiency = (5.4 x 10^12) / ( 9 x 10^12) = 5.4 / 9 = 0.6
Efficiency in percentage form = 0.6 x 100 = 60 %
Final answer:
The efficiency of a heat engine is calculated using the formula (Energy Input - Energy Output) / Energy Input. Given the figures, the efficiency of the engine is 40%, indicating that 40% of the input energy is converted into work.
Explanation:
The efficiency of a heat engine is determined by the ratio of work output to energy input. In the given scenario, the turbine in an electric power plant is supplied with 9.0 x 10^12 joules of energy, and 5.4 x 10^12 joules of energy is expelled as heat per hour. We can calculate the efficiency using the equation:
Efficiency = (Energy Input - Energy Output) / Energy Input
By substituting the given values, Efficiency = (9.0 x 10^12 J - 5.4 x 10^12 J) / 9.0 x 10^12 J = 0.4 or 40%
This means the heat engine of the power plant has a 40% efficiency, meaning 40% of the energy input is converted into work while 60% is discarded as waste heat.
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