Answer:
1. about 1.5 AU
2. about 5 AU
3. about 8 light-years
4. about 100,000 light-years
5. less than 0.01 AU
Explanation:
a. Mars is about 1.5 AU from the Sun.
b. Jupiter is about 5 AU from the Sun.
c. The star Sirius is about 8 light-years from the Sun.
d. The diameter of the Milky Way Galaxy is about 100,000 light-years.
e. The distance from Earth to the Moon is less than 0.01 AU.
Note: AU is an acronym for Astronomical Unit and it is a standard unit by astronomers to illustrate the distance between the planetary bodies found in the solar system.
To solve this problem it is necessary to apply the concepts related to the kinematic equations of angular motion.
By definition, acceleration can be expressed as the change in angular velocity squared over a given period of distance traveled.
where,
Angular velocity
Angular displacement.
In turn, as a function of time, we can represent it as,
For our case we have to,
PART A) In the case of angular acceleration we have to,
PART B) Through the definition of angular acceleration as a function of time we can calculate it,
Before anything, if you are lifting the Work value have to be negative, reason is because the formula to the work of the weight is:
*Photo to help you to visualize. (P = Weight Force, F = Force)
If you are lifting, you are exercising a force that opposes the Weight Force, Force up (lifting) and Weight Force down (gravity pulling).
This forms a 180 angle and the cos 180 = -1.
Well let's do the question:
Work (W) = -40 J (Joule = Kg x m^2/s^2)
(negative, explanation given)
Weight Force (P) = 10 N (Newton = kg x m/s^2)
Distance (D) = ?
W = P x d x cos theta
-> -40 = 10 x d x -1
-> -40 = -10 x d
-> d = -40/-10 (J/N)
-> d = 4 meters
Answer:43.311 J
Explanation:
Given
mass of frame
mass of wheel
radius of wheel
v=3.22 m/s
Moment of inertia of each wheel\left ( I\right )=\frac{1}{2}mr^2[/tex]
kinetic Energy of whole cycle=Kinetic energy of wheels and frame+rotational energy of Wheels
K.E.=39.037+4.274=43.311J