Answer:
Explanation:
Coordinate system is one that describe the location of an object in a given plane. It implies the use of axes (coordinates) and points.
Given that the man in the question walks 400 m due north of east. The cardinal points can be used in this case, with the north and east cardinals as the required axis.
scale = 
= 
= 
scale = 1:40
This is a reduced scale which implies that 1 cm on the drawing is equal to 40 m on the original length.
The man's direction is 
north of east.
The graphical drawing of the vector is herewith attached to this answer.
Answer:
The asteroid requires 5.14 years to make one revolution around the Sun.
Explanation:
Kepler's third law establishes that the square of the period of a planet will be proportional to the cube of the semi-major axis of its orbit:
(1)
Where T is the period of revolution and a is the semi-major axis.
In the other hand, the distance between the Earth and the Sun has a value of 
. That value can be known as well as an astronomical unit (1AU).
But 1 year is equivalent to 1 AU according with Kepler's third law, since 1 year is the orbital period of the Earth.
For the special case of the asteroid the distance will be:
That distance will be expressed in terms of astronomical units:
⇒ 
Finally, from equation 1 the period T can be isolated:
Then, the period can be expressed in years:
Hence, the asteroid requires 5.14 years to make one revolution around the Sun.
B
The Ardi fossil is believed to be 4.4 million years old, providing evidence that humans have been on Earth for 4 million years.
It holds kinetic and potential energy
Answer:
The object takes approximately 1.180 seconds to complete one horizontal circle.
Explanation:
From statement we know that the object is experimenting an Uniform Circular Motion, in which acceleration (
), measured in meters per square second, is entirely centripetal and is expressed as:
(1)
Where:
- Period of rotation, measured in seconds.
- Radius of rotation, measured in meters.
If we know that 
and 
, then the time taken by the object to complete one revolution is:
The object takes approximately 1.180 seconds to complete one horizontal circle.
