Answer:
The difference between the sidereal and synodic months occurs becuase as our moon moves around the earth, the earth also moves around our sun. Our moon must travel a little farther in its path to make up for the added distance and complete the phase cycle.
Explanation:
Hope this helps.
Answer: The area of brick in contact with the floor is 1539
.
Explanation:
Given: Length = 19 cm
Width = 9 cm
Height = 9 cm
As the brick is rectangular in shape. Hence, its area will be calculated as follows.
![Area = length \times width \times height](https://tex.z-dn.net/?f=Area%20%3D%20length%20%5Ctimes%20width%20%20%5Ctimes%20height)
Substitute the values into above formula as follows.
![Area = length \times width \times height\\= 19 cm \times 9 cm \times 9 cm\\= 1539 cm^{3}](https://tex.z-dn.net/?f=Area%20%3D%20length%20%5Ctimes%20width%20%20%5Ctimes%20height%5C%5C%3D%2019%20cm%20%5Ctimes%209%20cm%20%5Ctimes%209%20cm%5C%5C%3D%201539%20cm%5E%7B3%7D)
Thus, we can conclude that area of brick in contact with the floor is 1539
.
Answer:
magnitude: 21.6; direction: 33.7 degrees
Explanation:
When we multiply a vector by a scalar, we have to multiply each component of the vector by the scalar number. In this case, we have
vector: (-3,-2)
Scalar: -6
so the vector multiplied by the scalar will have components
![(-3\cdot (-6), -2 \cdot (-6))=(18,12)](https://tex.z-dn.net/?f=%28-3%5Ccdot%20%28-6%29%2C%20-2%20%5Ccdot%20%28-6%29%29%3D%2818%2C12%29)
The magnitude is given by Pythagorean's theorem:
![m=\sqrt{18^2+12^2}=21.6](https://tex.z-dn.net/?f=m%3D%5Csqrt%7B18%5E2%2B12%5E2%7D%3D21.6)
and the direction is given by the arctan of the ratio between the y-component and the x-component:
![\theta = tan^{-1} (\frac{12}{18})=33.7^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%5E%7B-1%7D%20%28%5Cfrac%7B12%7D%7B18%7D%29%3D33.7%5E%7B%5Ccirc%7D)
By equation of motion we have v = u + at
Where u = Initial velocity, v = final velocity, t = time taken and a = acceleration
Here v = 141 m/s, u = 17.7 m/s and t = 6 s
On substitution we will get
141 = 17.7+ 6a
So, a = (141-17.7)/6 = 20. 55 m/![s^{2}](https://tex.z-dn.net/?f=s%5E%7B2%7D)
Aceeleration = 20. 55 m/
along north direction.
Divide 24 by 12.
24/t = 12
24/12 = t
24/12 = 2
t = 2