4. A plane traveling at 200 m/s drops supplies from 1500 m above the ground. If it reaches
1 answer:
Answer:
3500 m
Explanation:
To find the horizontal displacement of the box of supplies, we just need to analyze its horizontal motion.
The horizontal motion of the box is a uniform motion with constant velocity, since there are no forces acting along this direction. Therefore, the horizontal displacement is given by
where
is the horizontal velocity
t is the time
The horizontal velocity of the supplies is the same as the plane, therefore
So, since the time of flight is
t = 17.5 s
The horizontal displacement is
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To solve this problem we will apply the concept related to the kinetic energy theorem. Said theorem states that the work done by the net force (sum of all forces) applied to a particle is equal to the change experienced by the kinetic energy of that particle. This is:
Here,
m = mass
v = Velocity
Our values are given as,
Replacing,
Therefore the mechanical energy lost due to friction acting on the runner is 907J