Invasive species are _______ species that have a ______ impact on a given ecosystem.
2 answers:
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Answer: 1872 N
Explanation:
This problem can be solved by using one of the Kinematics equations and Newton's second law of motion:
(1)
(2)
Where:
is the bullet's final speed (when it leaves the muzzle)
is the bullet's initial speed (at rest)
is the bullet's acceleration
is the distance traveled by the bullet before leaving the muzzle
is the force
is the mass of the bullet
Knowing this, let's begin by isolating from (1):
(3)
(4)
(5)
Substituting (5) in (2):
(6)
Finally:
A) 2.02 s
To find the time it takes for the bunny to reach the rocks below the cliff, we just need to analyze its vertical motion. This motion is a free fall motion, which is a uniformly accelerated motion. So we can use the suvat equation:
where
s is the vertical displacement
u is the initial vertical velocity
a is the acceleration
t is the time
For the bunny here, choosing downward as positive direction,
(initial vertical velocity is zero)
s = 20 m
(acceleration of gravity)
And solving for t, we find the time of flight:
B) 14.1 m
For this part, we need to consider the horizontal motion of the bunny.
The horizontal motion of the bunny is a uniform motion with constant velocity, which is the initial velocity of the bunny:
Therefore the distance covered after time t is given by
And substituting the time at which the bunny hits the ground,
t = 2.02 s
We find how far the bunny went from the cliff:
C) 21.0 m/s at below the horizontal
The horizontal component of the velocity is constant during the entire motion, so it will still be the same when the bunny hits the ground:
Instead, the vertical velocity is given by
And substituting t = 2.02 s, we find the vertical velocity at the moment of impact:
So, the magnitude of the final velocity is
And the angle is given by
below the horizontal