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2 years ago

Determine the magnitude of the effective value of g⃗ at a latitude of 60 ∘ on the earth. assume the earth is a rotating sphere.

1 answer:

5 0

In addition to acceleration of gravity we experience centrifugal acceleration away from the axis of rotation of the earth. this additional acceleration has value ac = r w^2 where w = angular velocity and r is distance from your spot on earth to the earth's axis of rotation so r = R cos(l) where l = 60 deg is the lattitude and R the earth's radius and w = 1 / (24hr x 3600sec/hr)
now you look up R and calculate ac then you combine the centrifugal acc. vector ac with the gravitational acceleration vector ag = G Me/R^2 to get effective ag' = ag -

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An aluminum "12 gauge" wire has a diameter d of 0.205 centimeters. The resistivity ρ of aluminum is 2.75×10−8 ohm-meters. The el

Alborosie

Answer:

I = 4.75 A

Explanation:

To find the current in the wire you use the following relation:

$J=\frac{E}{\rho}$ (1)

E: electric field E(t)=0.0004t2−0.0001t+0.0004

ρ: resistivity of the material = 2.75×10−8 ohm-meters

J: current density

The current density is also given by:

$J=\frac{I}{A}$ (2)

I: current

A: cross area of the wire = π(d/2)^2

d: diameter of the wire = 0.205 cm = 0.00205 m

You replace the equation (2) into the equation (1), and you solve for the current I:

$\frac{I}{A}=\frac{E(t)}{\rho}\\\\I(t)=\frac{AE(t)}{\rho}$

Next, you replace for all variables:

$I(t)=\frac{\pi (d/2)^2E(t)}{\rho}\\\\I(t)=\frac{\pi(0.00205m/2)^2(0.0004t^2-0.0001t+0.0004)}{2.75*10^{-8}\Omega.m}\\\\I(t)=4.75A$

hence, the current in the wire is 4.75A

4 0

2 years ago

Discuss the pros and cons of fission and fusion reactions.

Jet001 [13]

Fission: -

Pros:

- "It does not contribute to the air pollutants in the environment."

- "It does not need costly energy fuels."

- "It is capable of providing energy for 2 to 3 years."

- "It does not make global warming worse."

- "It produces a nuclear reaction that is important."

- "It helps with the field of astronomy."

Cons:

- "It can harm the environment in a way that it disposes waste."

- "It poses a risk to public health."

- "It can cause deadly and costly accidents."

- "It has the potential to open the door for terrorists to create powerful weapons."

Fusion Reactions: -

Pros:

- "Clean energy ."

- "Virtually limitless fuel available ."

- "No chain reaction. Easier to control or stop than fission ."

- "Nuclear fission is either a nuclear reaction or a radioactive decay process in which the nucleus of an atom splits into smaller parts (lighter nuclei) ."

- "Little or no nuclear waste. Core remains radioactive for only 100 years. Possibly radioactive structural elements ."

- "Very low fuel cost."

Cons:

- "Unproven (it will take another years of research to explore it on commercial scale) ."

- "Commercial power plants will be very expensive to build ."

- "Requires extremely high temperatures .

If cold fusion could be achieved, it would be much easier to implement."

8 0

2 years ago

To what temperature will a 79.0 g piece of glass raise if it absorbs 9457 calories of heat and its specific heat capacity is 0.5

ruslelena [56]

Answer:

T_final = 279.4 [°C]

Explanation:

In order to solve this problem, we must use the following equation of thermal energy.

$Q=m*C_{p}*(T_{f}-T_{i})$

where:

Q = heat = 9457 [cal]

m = mass = 79 [g] = 0.079 [kg]

Cp = specific heat = 0.5 [cal/g*°C]

T_initial = initial temperature = 40 [°C]

T_final = final temperature [°C]

$9457 = 79*0.5*(T_{f}-40)\\239.41=T_{f}-40\\\\T_{f}=279.4[C]$

8 0

2 years ago

Bambi is walking along the train tracks when he suddenly notices a fast approaching train and freezes in his tracks like a deer

Dmitrij [34]

Answer:

The final speed of the train and Bambi after collision is 7.44 m/s

Explanation:

Given;

mass of the train, m₁ = 1000kg

mass of Bambi, m₂ = 75kg

initial speed of the train, u₁ = 8 m/s

initial speed of Bambi, u₂ = 0 m/s

If Bambi gets stuck to the front of the train, then the collision is inelastic.

m₁u₁ + m₂u₂ = v(m₁ + m₂)

where;

v is the final speed of the train and Bambi after collision

Substitute the given values and solve for v

1000 x 8 + 75 x 0 = v (1000 + 75)

8000 = v (1075)

v = 8000/1075

v = 7.44 m/s

Therefore, the final speed of the train and Bambi after collision is 7.44 m/s

8 0

2 years ago

The mass of an object is 100 mg. What is the object's mass in kg? Please show some work to help explain it.

Trava [24]

100 mg

100 * 10^-3 g

0.1 g

0.1 * 10^-3 kg

10^-4 kg

- 1 kg = 1000 g

- 1 g = 1000 mg

6 0

2 years ago

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