His victory took place at Trenton. On December 26, 1776, in the morning, George Washington's Continental Army is on the outskirts of Trenton unexpected by the Hessian force guarding the city.
(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>
Answer:
Rome became the most powerful state in the world by the first century BCE through a combination of military power, political flexibility, economic expansion, and more than a bit of good luck. This expansion changed the Mediterranean world and also changed Rome itself.
Explanation:
