Step-by-step explanation:
A man jumps out of an airplane and is accelerating towards the ground. Consider air resistance.
A) Draw the forces acting on the falling man.
There are two forces acting on the falling man: the force of gravity and the force of air resistance. The force of gravity is pulling the man downwards towards the ground, while the force of air resistance is pushing upwards against the man's motion.
F_gravity
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| Man |
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F_air resistance
B) Write a paragraph explaining your diagram and what is happening to the man.
The diagram shows the two forces acting on a man who is jumping out of an airplane and accelerating towards the ground. The force of gravity is the stronger force and is pulling the man downwards towards the ground, while the force of air resistance is pushing upwards against the man's motion. As the man falls, he gains speed due to the force of gravity, but the force of air resistance also increases. Eventually, the force of air resistance will become equal in magnitude to the force of gravity, and the man will reach a constant speed called the terminal velocity. At this point, the net force on the man will be zero and he will continue to fall at a constant speed.
C) What is the final velocity of the man after being in flight for 1.25 minutes.
Assuming that the man falls straight down without any additional forces or complications, we can use the equations of motion to calculate the final velocity.
First, we need to convert the time to seconds:
t = 1.25 minutes = 1.25 x 60 seconds = 75 seconds
Next, we need to know the acceleration due to gravity, which is approximately 9.8 m/s^2.
Using the equation:
v = u + at
where v is the final velocity, u is the initial velocity (which is zero in this case), a is the acceleration due to gravity, and t is the time in seconds, we can calculate the final velocity:
v = 0 + (9.8 m/s^2 x 75 s) = 735 m/s
Therefore, the final velocity of the man after being in flight for 1.25 minutes is approximately 735 m/s.
Note that this calculation assumes that air resistance is negligible, which is not entirely true. In reality, the man would experience air resistance and reach a lower terminal velocity. However, the effects of air resistance can be difficult to model accurately, and this simple calculation provides a reasonable approximation for the final velocity.
If a cyclist is travelling with a speed of 12 miles per hour.
A) Draw a diagram for the action of the cyclist.
The diagram for the action of the cyclist would show the direction of motion and the forces acting on the cyclist. Since the cyclist is travelling at a constant speed, the net force on the cyclist must be zero. The forces acting on the cyclist are the force of friction between the tires and the ground, the force of air resistance, and the force of gravity.
F_air resistance
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| Cyclist |
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F_friction ← |