The area-
The area under the line in a velocity-time graph represents the distance travelled. To find the distance travelled in the graph above, we need to find the area of the light-blue triangle and the dark-blue rectangle.
<span><span>Area of light-blue triangle -
<span>The width of the triangle is 4 seconds and the height is 8 meters per second. To find the area, you use the equation: <span>area of triangle = 1⁄2 × base × height </span><span>so the area of the light-blue triangle is 1⁄2 × 8 × 4 = 16m. </span></span></span><span> Area of dark-blue rectangle
The width of the rectangle is 6 seconds and the height is 8 meters per second. So the area is 8 × 6 = 48m.</span><span> Area under the whole graph
<span>The area of the light-blue triangle plus the area of the dark-blue rectangle is:16 + 48 = 64m.<span>This is the total area under the distance-time graph. This area represents the distance covered.</span></span></span></span>
Answer:
Southern state and local elections in 1876 differed from those in previous years in that the election of 1876 was one of the closest races in American history. It tested the Constitution and resulted in a compromise that ended Reconstruction in America.
The election of 1876 between Rutherford B. Hayes and Democrat Samuel Tilden of New York was one of the most hostile, controversial campaigns in American history. The vote was 8-7 along party lines to award the disputed electoral college votes to Hayes, making him the winner.
Explanation:
The Compromise of 1876 is known for being the catalyst for the end of Reconstruction era, it was one of the most contentious and controversial presidential elections in American history.
Republican nominee Rutherford B. Hayes faced Democrat Samuel J. Tilden. After a controversial post-election process, He lost the popular vote to Democrat Samuel J. Tilden but he won an intensely disputed electoral college vote after a Congressional commission awarded him twenty contested electoral votes Hayes was declared the winner. The Hayes-Tilden Compromise is often seen as the final point that brought an end to Reconstruction, as it led to the removal of the US army from the South.
As Florida's Supreme Court had earlier declared a Democratic victory in the 1876 gubernatorial election, Democrats had been restored to power all across the South. The Compromise of 1876 effectively ended the Reconstruction era.
Southern Democrats' promised to protect civil and political rights of blacks as they were not kept, and to end of federal interference in southern affairs. This led to widespread disenfranchisement of blacks voters. Other factors that contributed to the end of Reconstruction were the Panic of 1873 and political corruption in the United States.
The Compromise of 1877 (the Great Betrayal) was an informal, unwritten deal, that settled the intensely disputed 1876 U.S. presidential election. It resulted in the United States federal government pulling the last troops out of the South, and formally ended the Reconstruction Era.
Answer:
2.25in³
Explanation:
For a 12 awg conductor the minimum volume allowance as stated by the NEC is 2.25in³
See attached Table 314.16(B) from NEC 2011
Dissolves limestone and other rocks.
Answer:
The 5 kg ball moves 3.78 m/s to the left, and the 4 kg ball moves 7.22 m/s to the right.
Explanation:
Momentum before = momentum after
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
(5 kg) (6 m/s) + (4 kg) (-5 m/s) = (5 kg) v₁ + (4 kg) v₂
10 m/s = 5 v₁ + 4 v₂
Assuming an elastic collision, kinetic energy is conserved.
½ m₁ u₁² + ½ m₂ u₂² = ½ m₁ v₁² + ½ m₂ v₂²
m₁ u₁² + m₂ u₂² = m₁ v₁² + m₂ v₂²
(5 kg) (6 m/s)² + (4 kg) (-5 m/s)² = (5 kg) v₁² + (4 kg) v₂²
280 m²/s² = 5 v₁² + 4 v₂²
Substituting:
v₂ = (10 − 5 v₁) / 4
280 = 5 v₁² + 4 [(10 − 5 v₁) / 4]²
280 = 5 v₁² + (10 − 5 v₁)² / 4
1120 = 20 v₁² + (10 − 5 v₁)²
1120 = 20 v₁² + 100 − 100 v₁ + 25 v₁²
0 = 45 v₁² − 100 v₁ − 1020
0 = 9 v₁² − 20 v₁ − 204
0 = (9 v₁ + 34) (v₁ − 6)
v₁ = -3.78 m/s or 6 m/s
u₁ = 6 m/s, so v₁ = -3.78 m/s. Solving for v₂:
v₂ = (10 − 5 v₁) / 4
v₂ = 7.22 m/s
The 5 kg ball moves 3.78 m/s to the left, and the 4 kg ball moves 7.22 m/s to the right.
