when a projectile is launched at an angle, the initial velocity has a vertical and a horizontal component.
if the object is launched upward, its speed decreases until it reaches the maximum height and goes down with increasing speed.
the maximum height, called the apex, is the highest point reached by a projectile when the vertical component if the velocity is zero.
the horizontal distance traveled by the projectile is known as the range or R.
Projectiles - are thrown with the same speed at different projection angles reach different maximum heights and cover different ranges.
in projectile motion, the body always goes ''away'' from the point of origin O as shown in the figure below.
range varies as the angle of inclination varies
Any moving object with a quantity of matter has momentum.
momentum simply means ''mass in motion''. it is equal to the product of mass and velocity.
if any object of any mass is not moving, it has zero momentum since its velocity is zero.
In collisions, an object that experiences a greater change in momentum has a greater impulse
a change in momentum is equal to impulse
the force exerted on an object during collision depends on how much the object changes direction or speed.
the larger the force applied over a longer period of time, the more momentum will be transferred from one object to another during a collision.
impulse = force x time
impulse = change in momentum
equal
the total mechanical energy of the object at the highest point compared to its total mechanical energy at the lowest point
the principle of the conservation of mechanical energy
states that the total mechanical energy in a system remains constant as long as the only forces acting are conservative forces.
a kalesa moves from rest
illustrates the direct transformation of potential to kinetic energy
their total momentum after collision is 175 kg. m/s
the total momentum of two objects before collision is 175 kg. m/s
LAW OF CONSERVATION OF MOMENTUM
the total momentum before a collision is equal to the total momentum after a collision
remains constant
ball after collision
kinetic and potential energy
two types of MECHANICAL ENERGY (ME)
THE CHANGE OF MOMENTUM OF THE BUS AND THE CAR ARE THE SAME
a car collided with a bus that has a greater mass and velocity than the car
given the same change in momentum
when the time interval is smaller, the impact force is bigger
same speed at four different angles above the horizontal
30 degrees and 60 degrees
the acceleration of a baseball thrown to the air at an angle of 45 degrees with respect to the hhorizontal as it returns to the ground
-9.8m/s2
0 m/s
vertical velocity of the highest point if you throw a baseball straight up
-5 m/s
the velocity of the ball at the point if a volleyball is tossed vertically upward, with an initial velocity of 5 m/s and caught back at the same level as when it was thrown
changes continously
happens to the vertical velocity of an object as it travels through the air
both angle and initial velocity
factors that affects how far a projectile will land
at the highest point of its flight
a ball is hit at an angle of 30 degrees along its path, a projectile will have the least speed _____
45 degrees
angle should a water hose be aimed in order for the water to land with the greatest horizontal range
8.0 m/s
the speed of the ball when received by the opponent at the same height if a volleyball is served at a speed of 8 m/s at an angle of 35 degrees above the horizontal
conserved
the total momentum in an isolated system
no external force is present
a necessary condition for the total momentum of a system to be conserved
60 degrees
a ball reaches a distance of 50m after is hit at an angle of 30 degrees given the same initial velocity, the ball willl also reach the same distance if it was hit at the ''answer''
it is the product of body'smass and velocity
describe momentum
the change in its momentum
equal to the impulse experienced by a body
same in magnitude but opposite in direction
if collide in a perfectly elastic collission, what would be the velocities after collision