Find the volume of an object with a density of 3.2 g/mL and a mass of 12 g.
2 answers:
You might be interested in
Answer:
- Bigger mass of planet B
- orbiting closer to planet B
Explanation:
The orbital velocity of the vessel around the planet can be found by equalizing the force of gravity between the vessel and the planet and the centripetal force:
where
G is the gravitational constant
m is the mass of the vessel
M is the mass of the planet
r is the distance between the vessel and the centre of the planet
v is the orbital velocity of the vessel
Re-arranging the formula, we find an expression for v:
We see that:
- the bigger the mass of the planet, M, the bigger the velocity
- the bigger the distance between the vessel and the planet, r, the smaller the velocity
So, the correct choices that increase the orbital velocity are:
- Bigger mass of planet B
- orbiting closer to planet B
The angular acceleration of a rotating object is given by
where
is the final angular speed of the object
is its initial angular speed
is the time taken to accelerate
For the wheel in our problem,
, 
and 
, so its angular acceleration is
where
For the wheel in our problem,