Explanation:
Gravitational Potential Energy can be calculated with the following formula:
Where m is mass, g is Gravitational Field Strength, and h is height. GFS on Earth is always 9.81, the combined mass of the cyclist and the bicycle is 70, and the height is 120. Multiplying these values together, we get:
82,404J.
<u>Answer:</u>
The velocity of the truck is 34 m/s.
<u>Explanation:</u>
The momentum (p) of an object is the product of its mass (m) and its velocity (v) which can be written as:
<em>p = mv</em>
Here in this problem, we are given a truck which has a momentum of 40120 kg and a mass of 1180 kg and we are to find its velocity.
So substituting the given values in the above formula to find the velocity of the truck.
Truck's velocity = = 34 m/s.
Answer: 4.6 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)
However, if is measured in Earth years, and
is measured in astronomical units (unit equivalent to the distance between the Sun and the Earth), equation (1) becomes:
(2)
Knowing and isolating
from (2):
(3)
(4)
Finally:
This is Ceres' orbital period