Answer:
<u>Option-(A): </u>A new moon is quite near the Sun in the sky.
Explanation:
- While the position of the new moon inside our sky has such an orientation that we are not able to see or observe the actual position and shape of the new moon.
- As the path or revolution is much more elliptical then we can imagine, for the moon there are certain position of motion inside the celestial space that for some times it looks for different then the other and such position generates the concept of a new moon.
Answer: the constant angular velocity of the arms is 86.1883 rad/sec
Explanation:
First we calculate the linear velocity of the single sprinkler;
Area of the nozzle = π/4 × d²
given that d = 8mm = 8 × 10⁻³
Area of the nozzle = π/4 × (8 × 10⁻³)²
A = 5.024 × 10⁻⁵ m²
Now total discharge is dived into 4 jets so discharge for single jet will be;
Q_single = Q / n = 0.006 / 4 = 1.5 × 10⁻³ m³/sec
So using continuity equation ;
Q_single = A × V_single
V_single = Q_single/A
we substitute
V_single = (1.5 × 10⁻³) / (5.024 × 10⁻⁵)
V_single = 29.8566 m/s
Now resolving the forces as shown in the second image,
Vt = Vcos30°
Vt = 29.8566 × cos30°
Vt = 25.8565 m/s
Finally we calculate the angular velocity;
Vt = rω
ω_single = Vt / r
from the given diagram, radius is 300mm = 0.3m
so we substitute
ω_single = 25.8565 / 0.3
ω_single = 86.1883 rad/sec
Therefore the constant angular velocity of the arms is 86.1883 rad/sec
Answer:
Rotation around the front-to-back axis is called roll. Rotation around the side-to-side axis is called pitch. Rotation around the vertical axis is called yaw.
Explanation:
Answer:
461.73 K
Explanation:
Given that,
The mass of a bullet, m = 5.7 g
Speed of the bullet, v = 490 m/s
Half the kinetic energy of the bullet is transformed into internal energy and remains with the bullet while the other half is transmitted to the tree.
Using the conservation of energy,
Where
x is the specific heat of lead, c = 130 J/kg K
So,
So, the increase in temperature of the bullet is 461.73 K.
Answer:
Explanation:
The reaction between hypothetical elements X and Y to produce hypothetical compound XY₂ is represented with the chemical equation:
That equation means that one atom (or one mole of atoms) of element X reacts with 2 atoms (or two moles of atoms) of element Y to produce one molecule (one mole of molecules) of compound XY₂.
Elements X and Y are the reactants, and compound XY₂ is the product.
Hence, the mole ratio is:
- 1 mol X : 2 mol Y : 1 mol XY₂
Since, 10.0 mol of Y completely react you can set the corresponding proportions with X and XY₂ to find how many moles of them will be in the reaction:
<u>1. Moles of X</u>:
- Theoretical ratio: 1 mol of X / 2 mol of Y
- Ratio with 10.0 mol of Y: U / 10.0 mol of Y
- Proportion: equal the two ratios: 1 mol X / 2 mol Y = U / 10.0 mol Y
- Solve for U: U = 10.0 mol Y × 1 mol X / 2 mol Y = 5.0 mol X
- Result: 5.0 moles of X are in the reaction.
<u>2. Total moles of X and Y in the reaction:</u>
- The total number of moles is the sum of the moles of the two reactants: 10.0 moles of Y + 5.0 moles of X = 15.0 moles. Hence 15.0 mol of X and Y are in the reaction: option C).