(a)
<span>Let: </span>
<span>a be the acceleration of the system, </span>
<span>g be the acceleration due to gravity, </span>
<span>T be the tension in the string. </span>
<span>For mA: </span>
<span>T = mA a </span>
<span>For mB: </span>
<span>mB g - T = mB a </span>
<span>Adding to eliminate T: </span>
<span>mB g = (mA + mB)a ...(1) </span>
<span>a = mB g / (mA + mB) </span>
<span>= 7.0 * 9.81 / (11.0 + 7.0) </span>
<span>= 3.815 m/s^2 </span>
<span>= 3.82 m/s^2 to 3 sig. fig. </span>
<span>(b) </span>
<span>Let: </span>
<span>s be the distance to the edge of the table, </span>
<span>t be the time taken. </span>
<span>s = at^2 / 2 </span>
<span>t = sqrt(2s / a) </span>
<span>= sqrt(2 * 1.250 / 3.815) </span>
<span>= 0.810 sec to 3 sig. fig. </span>
<span>(c) </span>
<span>From (1): </span>
<span>(mA + mB)(a / g) = mB </span>
<span>mA(a / g) = mB(1 - a / g) </span>
<span>mA = mB(g / a - 1) </span>
<span>= 4.0(100 - 1) </span>
<span>= 396 kg.</span>
Checks and Balances
The system of checks and balances is an important part of the Constitution. With checks and balances, each of the three branches of government can limit the powers of the others. This way, no one branch becomes too powerful. Each branch “checks” the power of the other branches to make sure that the power is balanced between them. How does this system of checks and balances work?
The process of how laws are made (see the following page) is a good example of checks and balances in action. First, the legislative branch introduces and votes on a bill. The bill then goes to the executive branch, where the President decides whether he thinks the bill is good for the country. If so, he signs the bill, and it becomes a law.
If the President does not believe the bill is good for the country, he does not sign it. This is called a veto. But the legislative branch gets another chance. With enough votes, the legislative branch can override the executive branch's veto, and the bill becomes a law.
Once a law is in place, the people of the country can test it through the court system, which is under the control of the judicial branch. If someone believes a law is unfair, a lawsuit can be filed. Lawyers then make arguments for and against the case, and a judge decides which side has presented the most convincing arguments. The side that loses can choose to appeal to a higher court, and may eventually reach the highest court of all, the Supreme Court.
If the legislative branch does not agree with the way in which the judicial branch has interpreted the law, they can introduce a new piece of legislation, and the process starts all over again.
<span>Fact Monster™</span>
MinisterBeganEndedLouis Gaspard Amédée, baron Girod de l'Ain30 April 183211 October 1832François Guizot11 October 183210 November 1834Jean-Baptiste Teste10 November 183418 November 1834François Guizot18 November 183422 February 1836
2. D
he really was personal and to himself and didn’t believe in that
Answer:
Building B; it is around 33.29 feet taller than building A
Explanation:
Given that when things are nearer they appear bigger, hence, if the buildings have the same angular elevation from the same spot, the taller building is further away.
This is based on the fact that the hypotenuse touches the top of building A and keeps ongoing at the same angle to building B, further away.
Therefore, we have =>
tan A = ht / 40
ht A = 40 tan 59 = 66.57 ft
tan B =ht / 60
ht B = 60 tan 59 = 99.86 ft.
Therefore, 99.86ft - 66.57ft = 33.29fr
Hence, Building B is taller by 33.29
