7.8 Projectile motion 2 Flashcards
Any form of motion where an object experiences a constant acceleration in a different direction to its velocity will be like _____ _____
Projectile motion
Example of projectile-like motion - ball rolling across an inclined board
The object is projected across the top of the board from the side, its path curves down the board and is parabolic. This is because the object is subjected to constant acceleration acting down the board and it initial velocity is across the board
Example of projectile motion - beam of electrons directed between two oppositely charged parallel plates
Parabolic
Each electron in the beam is acted on by a constant force towards the positive plate because the charge of an electron is negative. Therefore, each electron experiences a constant aacceleration towards the positive plate. Its path is parabolic because its motion parallel to the plates is at ZERO accleration whereas its motion perpendicular to the plates is at constant (non-zero) acceleration
What force does a projectile experience
A drag force/air resistance
What is the drag force experienced by projectiles caused by
Friction between the layers of air near the projectile’s surface where the air flows over the surface
The drag force:
Acts in the opposite direction to the direction of motion of the projectile, and it increases as the projectile’s speed increases
Has a horizontal component that reduces both the horizontal speed of the projectile and its range
Reduces the maximum height of the projectile if its initial direction is above the horizontal and makes its descent steeper than its ascent
Why is the shape of the projectile important
It affects the drag force and may also cause a lift force in the same way as the cross-sectional shape of an aircraft wing creates a lift force
What causes a lift force
Certain shapes which cause the air to flow faster over the top of the object than underneath it. Therefore, the pressure of the air on the top is less than that on the bottom surface, this pressure difference causes a lift force
Displacement at time after projection of an object without gravity or air resistance acting on it
Horizontal component
x=Utcosθ
Vertical component
y=Utsinθ
THEREFORE:
y=Utsinθ - 1/2gt^2
vy=Usinθ - gt