Answer:
a) The final velocity is 20 m/s when the large-mass object is the one moving initially.
b) The final velocity is 9.0 m/s when the small-mass object is the one moving initially.
Explanation:
The momentum of the system is calculated as the sum of the momenta of each object. Each momentum is calculated as follows:
p = m · v
Where:
p = momentum.
m = mass.
v = velocity.
Then, the momentum of the system is the following:
m1 · v1 + m2 · v2 = (m1 + m2) · v
Where:
m1 = mass of the bigger object.
v1 = velocity of the bigger object.
m2 = mass of the smaller object.
v2 = velocity of the smaller object.
v = final velocity of the two objects after the collision.
Solving the equation for the final velocity:
(m1 · v1 + m2 · v2)/ (m1 + m2) = v
a) Let´s calculate the final velocity when the bigger object is moving:
(7.1 kg · 29 m/s + 3.2 kg · 0)/(7.1 kg + 3.2 kg) = v
<u>v = 20 m/s</u>
b) When the smaller object is moving:
(7.1 kg · 0 m/s + 3.2 kg · 29 m/s) / (7.1 kg + 3.2 kg) = v
<u>v = 9.0 m/s</u>
If you have (1 x 10⁹) cubic meters of volume, and 1/2 gram of mass
in each cubic meter, then you have
(1/2 x 10⁹) grams = (5 x 10⁸) grams = (5 x 10⁵) kilograms of mass .
On Earth, that mass weighs 4,900,000 newtons .
(about 1,102,300 pounds)
(about 551 tons)
I think option C is correct..hope it helps
The Earth Science answers are shown below.
Explanation:
1. The movement of the sun will change the angle it has on the sky in 30 minutes, it is always moving from the east to the west, so in 30 minutes it would move more west, no matter at what time you make the experiment. From Earth, the Sun looks like it moves across the sky in the daytime and appears to disappear at night. This is because the Earth is spinning towards the east. The Earth spins about its axis, an imaginary line that runs through the middle of the Earth between the North and South poles
2. No, both marks are the same distance from the ground. the amount of stick above the mark will not affect the distance that the shadow of the mark moves at all.
The Sun's clockwise motion is an apparent motion caused by the rotation of the Earth. The counterclockwise rotation of the Earth in the Sun's light causes the shadow of the gnomon to move clockwise. As the Sun appears to move higher above the horizon before solar noon, the shadow grows shorter and shorter.
3. In the summer the shadows are shorter, and in the winter the shadows are longer. In the morning your shadow will point west and in the afternoon it will point east. If your shadow is long, it is near sunrise or sunset. Your shadow is shortest around noon.
4. If the sun rises in the east and sets in the west, then the Earth should rotate in the opposite direction from west to east (anti-clockwise). Earth's spin (or rotation) on its axis. Earth rotates or spins toward the east, and that's why the Sun, Moon, planets, and stars all rise in the east and make their way westward across the sky.
