To calculate work done on an object, _____.
1 answer:
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Answer:
9.60 m/s
Explanation:
The escape speed of an object from the surface of a planet/asteroid is given by:
where
G is the gravitational constant
M is the mass of the planet/asteroid
R is the radius of the planet/asteroid
In this problem we have
is the density of the asteroid
is the volume
So the mass of the asteroid is
The asteroid is approximately spherical, so its volume can be written as
where R is the radius. Solving for R,
Substituting M and R inside the formula of the escape speed, we find:
Answer:
The slope of a position-time graph can be calculated as:
where
is the increment in the y-variable
is the increment in the x-variable
We can verify that the slope of this graph is actually equal to the velocity. In fact:
corresponds to the change in position, so it is the displacement,
corresponds to the change in time
, so the time interval
Therefore the slope of the graph is equal to
which corresponds to the definition of velocity.