
has units of m,

has units of m/s,

has units of s, and

has units of m/s^2. The constant 1/2 does not have units.
Hence, the first term on the right has units of: m/s *s = m
While the second term on the right has units of: m/s^2 * s * s = m
Thus, the equation is dimensionally correct.
The first object also has half the inertia.
Answer: Option A
<u>Explanation:</u>
Inertia is the tendency of an object to remain in its state. It resists the change in the state of object due to any external forces. So the inertia is the property of an object to resists the change in its state due to any kind of external force. Thus as the mass decreases, the central mass of inertia of the object will also decrease as both are directly proportional to each other.
Answer:

Explanation:
Newton's Law of Universal Gravitation:
- F = force of gravity (N)
- G = gravitational constant

= mass of Object 1 (kg)
= mass of Object 2 (kg)- r = distance between the center of mass (m)
Let's convert our given information to scientific notation:
Now using the gravitational force and the distance between centers of mass that are given, we can plug these into Newton's law:
Remove the units for better readability.
Divide both sides of the equation by the gravitational constant G.
Distribute the power of 2 inside the parentheses.
If we evaluate the left side of the equation, we get:
Multiply both sides of the equation by r.
In order to find the mass of one asteroid, we can use the fact that both asteroids have the same mass, therefore, we can rewrite
as
.
Square root both sides of the equation.
Since m is in units of kg, we can state that the mass of each asteroid is 2.79 * 10⁵ kg.
Compressional waves are mechanical.mechanical waves require a medium to travel. in a vacuum, there is no matter, so the waves cannot travel