Think about this hypothetical (not real) situation: Astronaut Dustin and Astronaut Barb are floating in space. The force of grav
1 answer:
The distance between Dustin and the planet is larger than the distance between Barb and the planet
Explanation:
The magnitude of the gravitational force between each astronaut and the planet is given by
where :
is the gravitational constant
M is the mass of the planet
m is the mass of the astronaut
r is the separation between the astronaut and the planet
In this problem, we have:
- The force of gravity between Dustin and the planet is 120,265 N
- The force of gravity between Barb and the planet is 354,999 N
We see that the force exerted by the Planet on Barb is much greater than the force exerted by the planet on Dustin. Assuming that the mass of Dustin and Barb is similar, then we can say that the magnitude of the force of gravity depends mainly on the distance:
And since the force is inversely proportional to the square of the distance, this means that the distance between Dustin and the planet is larger than the distance between Barb and the planet.
Learn more about gravitational force:
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Answer:
The acceleration of the spacecraft is 16,367.62 miles/hr²
Explanation:
Given;
thrust of the spacecraft, F = 5.31 x 10⁶ N
mass of the spacecraft, m = 5,760,000 lbm = 2612692.051 kg
The acceleration of the spacecraft in m/s² is given by Newton's second law of motion;
F = ma
a = F / m
The acceleration in miles per hour square is given by;
Therefore, the acceleration of the spacecraft is 16,367.62 miles/hr²
Answer:
The length is and the angle is
Explanation:
The period of the pendulum is related to its length
by
where is the acceleration due to gravity.
Solving for we get
putting in and
we get:
There are two forces acting on the pendulum: The gravitational force and the
student's force. Therefore, the angular displacement
that these forces give is
putting in ,
, and
we get
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