Answer:
Atomic Size and Mass:
convert given density to kg/m^3 = 8900kg/m^3 2) convert to moles/m^3 (kg/m^3 * mol/kg) = 150847 mol/m^3 (not rounding in my actual calculations) 3) convert to atoms/m^3 (6.022^23 atoms/mol) = 9.084e28 atoms/m^3 4) take the cube root to get the number of atoms per meter, = 4495309334 atoms/m 5) take the reciprocal to get the diameter of an atom, = 2.2245e-10 m/atom 6) find the mass of one atom (kg/mol * mol/atoms) = 9.7974e-26 kg/atom Young's Modulus: Y=(F/A)/(dL/L) 1) F=mg = (45kg)(9.8N/kg) = 441 N 2) A = (0.0018m)^2 = 3.5344e-6 m^2 3) dL = 0.0016m 4) L = 2.44m 5) Y = 1.834e11 N/m^2 Interatomic Spring Stiffness: Ks,i = dY 1) From above, diameter of one atom = 2.2245e-10 m 2) From above, Y = 1.834e11 N/m^2 3) Ks,i = 40.799 N/m (not rounding in my actual calculations) Speed of Sound: v = ωd 1) ω = √(Ks,i / m,a) 2) From above, Ks,i = 40.799 N/m 3) From above, m,a = 9.7974e-26 kg 4) ω=2.0406e13 N/m*kg 5) From above, d=2.2245e-10 m 6) v=ωd = 4539 m/s (not rounding in actual calculations) Time Elapsed: 1) length sound traveled = L+dL = 2.44166 m 2) From above, speed of sound = 4539 m/s 3) T = (L+dL)/v = 0.000537505 s
A would be the correct answer. Its the only one to make sense since you are trying to solve the conflict!
Answer:
a) about 20.4 meters high
b) about 4.08 seconds
Explanation:
Part a)
To find the maximum height the ball reaches under the action of gravity (g = 9.8 m/s^2) use the equation that connects change in velocity over time with acceleration.


In our case, the initial velocity of the ball as it leaves the hands of the person is Vi = 20 m/s, while thw final velocity of the ball as it reaches its maximum height is zero (0) m/s. Therefore we can solve for the time it takes the ball to reach the top:

Now we use this time in the expression for the distance covered (final position Xf minus initial position Xi) under acceleration:

Part b) Now we use the expression for distance covered under acceleration to find the time it takes for the ball to leave the person's hand and come back to it (notice that Xf-Xi in this case will be zero - same final and initial position)

To solve for "t" in this quadratic equation, we can factor it out as shown:

Therefore there are two possible solutions when each of the two factors equals zero:
1) t= 0 (which is not representative of our case) , and
2) the expression in parenthesis is zero:

Both of them are unpleasant!
Answer:
How Can You Earn Your GED?
- You must be at least 16 years old to take the GED Test, and you must not be enrolled in high school. ...
- You must pass all four subject tests in the GED battery of tests, which means scoring at least a 145 on each test (New Jersey requires a score of at least 150 to pass).
>Rules
You must be at least 16 years old to take the GED Test, and you must not be enrolled in high school. You should also meet state eligibility requirements for the amount of time you've been out of high school. In some states, you have to be out of high school for at least 60 consecutive days before you're allowed to take the test. Contact the program administrator in your state for more details.
You must pass all four subject tests in the GED battery of tests, which means scoring at least a 145 on each test (New Jersey requires a score of at least 150 to pass). Scores range from 100 to 200 on the 2014 version). A score of 165 on each test is the benchmark for college and career readiness, and you will receive an Honors distinction if you reach this score. The four tests take seven and a half hours total and are administered by computer. You don't have to take them all on the same day, but some states enforce specific time frames for completing the tests. Most questions are multiple choice, although there is also a mix of fill-in-the-blank, drag and drop, and select-an-area questions, as well as an essay question on the Reasoning Through Language Arts section.
If you don't pass a test the first time around, you can retake it, although different states have different requirements for people who need to retake GED tests (such as additional fees or proof of attending a preparation class). Testing accommodations are available for those with disabilities; you can sign up for them through your online account after you register. You usually have to pay to sign up for the tests, but the cost varies from state to state. After you take each test, you will receive your scores within 24 hours. Here are some more details about the score report.
Explanation:
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