Answer and Explanation:
We know that resistance from the given equation of resistance it is clear that resistance depends on resistivity length and area of the material but we can not change the length because it is given that the length must be 2.5 cm long.
So we can do two two things to reduce the resistance
Answer:
3.4 x 10^-4 T
Explanation:
A = 1.5 x 10^-3 m^2
N = 50
R = 180 ohm
q = 9.3 x 106-5 c
Let B be the magnetic field.
Initially the normal of coil is parallel to the magnetic field so the magnetic flux is maximum and then it is rotated by 90 degree, it means the normal of the coil makes an angle 90 degree with the magnetic field so the flux is zero .
Let e be the induced emf and i be the induced current
e = rate of change of magnetic flux
e = dФ / dt
i / R = B x A / t
i x t / ( A x R) = B
B = q / ( A x R)
B = (9.3 x 10^-5) / (1.5 x 10^-3 x 180) = 3.4 x 10^-4 T
The magnitude of the magnetic field can be calculated using Faraday's Law of electromagnetic induction, by setting up and solving an equation involving the number of turns in the coil, the area of the coil, and the time it takes for the coil to rotate.
To calculate the magnitude of the magnetic field, we can use Faraday's Law of electromagnetic induction, which can be expressed as E = d(N∙Φ )/dt, where E represents the induced EMF, N is the number of turns, and Φ is the magnetic flux (flux equals the product of the magnetic field B, the area A through which it passes and the cosine of the angle between B and A).
Given the information in the problem, we know that E = Q/R ∙ t. Since the coil is rotated through 90 degrees, it goes from being parallel to being perpendicular to the field, resulting in a change in magnetic flux of BNA. We can set up the equation E = d(NBA)/dt = Q/R ∙ t = [(50 turns) ∙ (1.5 × 10-3 m²) ∙ B)/(t)]
We can solve this equation to determine the magnitude of the magnetic field B. Remember, always double-check your calculations to ensure their accuracy.
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Answer:
0.58 J
Explanation:
We know that Total energy is conserved.
Initial Kinetic energy + Initial potential energy = final kinetic energy+ final potential energy + dissipated heat energy
Initial kinetic energy = 0 ( magnet is at rest initially)
Initial Potential energy = m g h = (0.20 kg)(9.81 m/s²)(0.35 m) = 0.69 J
Final kinetic energy = 0.5 m v² = 0.5 ×0.20 kg × 1.10 m/s = 0.11 J
Final potential energy = 0
∴ Dissipated heat energy = (0.69 -0.11) J = 0.58 J
(b) What is the object's specific heat?
When an object gets heated by a temperature ΔT energy needed, E = mcΔT
Here energy is given E = 2050 J
Mass of object = 150 g
Change in temperature ΔT = 15 = 15 K
a) Heat capacity of an object equal to the ratio of the heat added to (or removed from) an object to the resulting temperature change.
So heat capacity = E/ΔT = 2050/15 = 136.67 J/K
b) We have E = mcΔT
c =
So object's specific heat = 911.11 J/kgK
The problem discusses the change in acceleration when a passenger is added to a car. It requires understanding of Newton's second law of motion, force equals mass times acceleration, and then recalculating the acceleration with the passenger added to the total mass.
This problem pertains to Newton's second law of motion, stating that the force applied on an object equals its mass times its acceleration (F = ma). Given that the initial acceleration of the Lamborghini Huracan with a driver is 0.80g or 0.80*9.80 m/s², we can calculate the force applied by the car. By multiplying the car's mass (1510 kg) with its acceleration, we will find the force.
Οnce we have the force, we can calculate the new acceleration if the 80 kg passenger rode along. Given that the force is constant, we determine the car's new acceleration by dividing this force with the new total mass (car mass + passenger's mass). So the question ultimately requires an application of the concepts of force, mass, and acceleration.
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The new acceleration of the Lamborghini Huracan with an added passenger can be calculated by finding the initial force using the car's mass and acceleration, and then using this force with the increased mass (original mass + passenger's mass) to find the new acceleration. The new acceleration will be less than the initial acceleration due to the increased mass.
To determine the new acceleration of the Lamborghini Huracan with an added passenger, we first calculate the initial force acting on the car. This can be done by using Newton's second law which states that Force = mass * acceleration. Initially, the acceleration is 0.80g (where g is acceleration due to gravity = 9.81 m/s²), and the mass is 1510 kg (including the driver). Therefore, the initial force = 1510 kg * 0.8 * 9.81 m/s².
However, when an 80-kg passenger rides along, the total mass becomes 1510 kg + 80 kg = 1590 kg. To find the new acceleration, we keep the force constant (as it is not affected by the introduction of the passenger) and rearrange the formula F = m*a as a = F/m. Use the increased mass to find the new acceleration. Please note that the new acceleration will be less than the initial acceleration due to increased mass.
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Answer:
a n c
Explanation:
The volume rate of flow can be determined using the equation Q = Av, where Q is the volume rate of flow, A is the cross-sectional area of the pipe, and v is the average speed of the water. Given the diameter of the wider section of the pipe is 6.0 cm and the gauge pressure is 32.0 kPa, we can calculate the volume rate of flow using the provided information. The volume rate of flow is found to be 0.0018 m³/s.
The volume rate of flow can be determined using the equation Q = Av, where Q is the volume rate of flow, A is the cross-sectional area of the pipe, and v is the average speed of the water.
Given that the diameter of the wider section of the pipe is 6.0 cm, the radius is 3.0 cm and the gauge pressure is 32.0 kPa. Similarly, for the narrower section with a diameter of 4.0 cm, the radius is 2.0 cm and the gauge pressure is 24.0 kPa.
Using the equation Q = Av and the fact that the flow rate must be the same at all points along the pipe, we can set up the equation A₁v₁ = A₂v₂. Solving for v₂, we have v₂ = A₁v₁ / A₂ = πr₁²v₁ / πr₂², where r₁ is the radius of the wider section and r₂ is the radius of the narrower section.
Substituting the values, we get v₂ = (3.14)(3.0 cm)²(32.0 kPa) / [(3.14)(2.0 cm)²] = 18.0 cm/s. Since v = d/t, we can convert cm/s to m³/s by multiplying by 0.0001, so the volume rate of flow is 0.0018 m³/s.
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Answer:
The force exerted on the roof is
Explanation:
From the question we are told that
The speed of the wind is
The area of the roof is
The air density of Boulder is
The atmospheric pressure is
For a laminar flow the Bernoulli’s principle is mathematically represented as
Where is the speed of air in the building
is the speed of air outside the building
are the pressure of inside and outside the house
are the height above and below the roof
Now for
The above equation becomes
Since pressure is mathematically represented as
The above equation can be written as
The initial velocity is 0
Substituting value