Answer: 8 years
Explanation:
According to Kepler’s Third Law of Planetary motion <em>“The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”:</em>
<em />
(1)
In other words: this law states a relation between the orbital period
of a body (moon, planet, satellite, comet, asteroid) orbiting a greater body in space (the Sun, for example) with the size
of its orbit.
However, if
is measured in years (Earth years), and
is measured in astronomical units (equivalent to the distance between the Sun and the Earth:
), equation (1) becomes:
(2)
This means that now both sides of the equation are equal.
Knowing
and isolating
from (2):
(3)
(4)
Finally:
This is the period of the asteroid
Answer:
2.943 J
Explanation:
Data:
acceleration due to gravity, g = 9.81 m/s²
mass of sand = 0.5 kg
distance = 0.6
Thermal energy = the energy possessed by the falling sand
The force of sand = ma
= 
However, the energy is given as the force multiplied by the distance, so
E =fd

Therefore, the thermal energy is 2.943 joules
Answer:

Explanation:
It is given that,


Taking the cross product of v and v such that,




|w| = 13.92
Let
is the unit vector normal to the plane containing u and v. So,


Hence, this is the required solution.
No <span>The atom is composer of neutrons, protons and electrons. </span>
<span>So it is divisible in smaller pieces.</span>
Answer:
Mechanical advantage is the measure of the force amplification achieved by using a tool , mechanical device or machine . The machine preserve the input power and supply trade off force. against movement to obtain a desired amplification in the output force .