Planet A;
m = the mass
Let r = the radius
Planet B:
Let M = the mass
The radius is 2r (twice the radius of planet A)
The surface gravitational acceleration of planets A and B (they have the same surface gravity) are

Answer: The mass of planet B is 4m.
Answer:
w = 706.32 [N]
Explanation:
The force due to gravitational acceleration can be calculated by means of the product of mass by gravitational acceleration.
w = m*g
where:
w = weight [N] (units of Newtons)
m = mass = 72 [kg]
g = gravity acceleration = 9.81 [m/s²]
Then we have:
![w = 72*9.81\\w = 706.32 [N]](https://tex.z-dn.net/?f=w%20%3D%2072%2A9.81%5C%5Cw%20%3D%20706.32%20%5BN%5D)
Answer:
<em>Magnitude of A=5</em>
<em>Magnitude of B=5.39</em>
Explanation:
<u>The magnitude of Vectors in Rectangular Form</u>
Given a vector v in its rectangular form:

The magnitude of v is:

We are given the vectors


Their magnitudes are:




Answer: M = 6.13 × 10^18 kg
Explanation:
g = GM/r2,
Where
The mass M of the asteroid = ?
The radius r = 110000 m
g = 0.0338 m/s^2
G is the gravitational constant.
SI units its value is approximately 6.674×10^−11m3⋅kg−1⋅s−2
Using the formula
g = GM/r2
Cross multiply
GM = gr^2
6.674×10^-11M = 0.0338 × 110000^2
M = 408×10^6/6.674×10^-11
M = 6.13 × 10^18 kg