Chapter 10: Projectile and Satellite Motion Flashcards
Any object that moves through the air or through space, acted on only by gravity. (and air resistance, if any.)
Projectile
A curved path followed by a projectile acting under the influence of gravity only.
Parabola
Ignoring air drag, how many meters below will a projectile fall Considering where it would have reached if there were no gravity?
4.9t²
If the horizontal component of the Cannon Falls velocity is 20 m/s, how far down range will the cannonball be in five seconds?
d = vt
d = 20(5)
d = 100 m
A baseball is batted at an angle into the air. Once airborne and ignoring air drag what is the balls acceleration vertically? Horizontally?
The vertical acceleration is G (directed downwards) Because the force of gravity is vertical. The horizontal acceleration is zero because no horizontal force acts on the bar.
What part of a baseballs trajectory does the baseball have a minimum speed?
A balls minimum speed occurs at the top of its trajectory. If it is launched vertically, it’s speed at the top is zero. If launched at an angle, the vertical component of velocity is zero at the top, leaving only the horizontal component. So the speed at the top is equal to the horizontal component of the balls velocity at any point.
Consider a batted baseball that follows a parabolic path on a day when the sun is directly overhead. How does the speed of the balls shadow across the field compare with the balls horizontal component of velocity?
They are the same
When a ball is thrown upward at an angle, what happens to the vertical component of its velocity as it rises? As it falls? Suppose that air resistance can be neglected.
It decreases while rising, but it increases while falling.
Wanna ball is thrown upward at an angle, what happens to the horizontal component of its velocity as it rises? Has it falls? Suppose that air resistance can be neglected.
Rising or falling, it does not change.
How many meters does a tossed baseball fall beneath a straight line path in traveling for one second? For two seconds?
In one second, it falls 5 m beneath the line. For two seconds, the ball falls 20 m beneath the line.
(This is found using the equation 1/2 times gravity constant times t²)
You are in an airplane flying 1000 km/h horizontally when an engine falls off. Neglecting air resistance, assume it takes 30 seconds for the engine to hit the ground. Find the height of the airplane.
4.4 km (4,410 m) Use d = .5(9.8)(t²)
you’re in an airplane flying 1000 km/h (280 m/s) horizontally when an engine falls off. Neglecting air resistance, assume it takes 30 seconds for the engine to hit the ground. Find the horizontal distance that the engine moves during its fall.
8.4 s. (d = vt)
A projectile or smaller celestial body that orbits a larger celestial body
Satellite
Calculate the speed of a projectile that covers a distance of 8000 meters in the time it takes for it to fall vertically 5 meters.
s = d/t
8000 / time to fall 5 meters
8000 / 1
= 8000 m/s
What do we call such a high-speed projectile without air drag or obstacles?
earth satellite
