Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes
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Answer:
The cannon has an initial speed of 13.25 m/s.
Explanation:
The launched cannonball is an example of a projectile. Thus, its launch speed can be determined by the application of the formula;
R = u
Where: R is the range of the projectile, u is its initial speed, H is the height of the cliff and g is the gravitaty.
R = 26.3 m, H = 19.3 m, g = 9.8 m/.
So that:
26.3 = u
=
x
691.69 = x
=
=
= 175.6104
⇒ u =
= 13.2518
u = 13.25 m/s
The initial speed of the cannon is 13.25 m/s.
Answer:
Explanation:
The formula for velocity is:
Where
is the ball's initial velocity.
solving for a:
Answer:
40 N
Explanation:
The gravitational force between the asteroid and the spaceship is given by:
where
is the gravitational constant
is the mass of the asteroid
is the mass of the spaceship
is the distance between the asteroid and the spaceship
The initial force is equal to:
Later, the spaceship moves to a position 3 times as far from the center of the asteroid, so R' = 3R. Therefore, the new force will be
so, the force is decreased by a factor 9. Since the initial force was F=360 N, the new force will be