V<span>(a) </span>
<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>
I think the correct answer from the choices listed above is option B. Each of the following is a part of the executive branch except a court. A democratic government, like the United States, is composed of three different branches that perform their specific tasks to aid the government and its people. These three branches are the: Executive, Legislative, and Judiciary. The court belongs to the Judiciary branch of the government upholding justice and making decisions for the land based on existing laws.
Enslaved vs. Slave: Today, most historians speak of “enslaved people” instead of “slaves.” This language separates a person's identity from his/her circumstance.
Answer:
The germinated seed incorporated a small amount of modern carbon. Correct: Incorporation of a small amount of modern carbon would increase the relative amount of carbon-14 and reduce the estimated age of the seed by 250-300 years.
Answer:
Physical geography shaped Europe's development. The continent of Europe is a huge peninsula, with many smaller peninsulas branching out from it. As a result, most land in Europe lies within 300 miles (483 km) of a seacoast. This encouraged trade and helped the European economy to grow.
Explanation:
