140 likes | 294 Vues
CONCEPTUAL PHYSICS. Vectors. Vector and Scalar quantities Vector quantities: quantities that require both magnitude (size) and direction. Ex. Force, velocity Vector: arrows are used to represent vectors; the length of the arrow represents the magnitude and tip indicates the direction.
E N D
CONCEPTUAL PHYSICS Vectors
Vector and Scalar quantities • Vector quantities: quantities that require both magnitude (size) and direction. • Ex. Force, velocity • Vector: arrows are used to represent vectors; the length of the arrow represents the magnitude and tip indicates the direction. • Scalar quantities: quantity with magnitude only • Ex. Mass, volume, and time • They obey ordinary laws of addition, subtraction, multiplication and division
Vector representation of force and of velocity • Read pg 66-67 • Resultant: the result of adding two or more vectors. • Vector addition • The resultant of two perpendicular vectors is the diagonal of a rectangle constructed with the two vectors as sides. Resultant
Graphical addition of vectors (pg 15 vectors and projectiles handout) • Vector components (pg 16 vectors and projectiles handout) • Simple trigonometry relationships (for right angles) Sin = opposite cos = adjacent tan = opposite hypotenuse hypotenuse adjacent C2= a2 + b2 hypotenuse opposite adjacent
Equilibrium: an object is in a state of equilibrium when the object is at rest and the net force is zero. • Components of weight: read p 75 • PROJECTILE MOTION • Projectile: any object that moves through space acted upon only by Earth’s gravity • Ex. Cannonball, stone thrown in the air • May start at a given height and move toward the ground in an arc or start at a given level, move upward and then downward following a parabola. YouTube - conceptual physics Projectile Motion http://www.stmary.ws/highschool/physics/home/videos/ForceMotion/HProjectDrop.html
Projectile follow always the following rules: • Have a constant horizontalvelocity. • The have a constant vertical acceleration of 9.8 m/s2 • Horizontal and vertical motion are independent of each other projectileVideoBball
Upwardly moving projectiles • Have different altitudes (height above ground) and different horizontal ranges (distance traveled horizontally) depending on the projection angle. (see Page 80) • Same range is obtained from two different projection angles if they add up to 90 degrees!! • At the top of the path, the vertical component of the velocity is zero. The Physics Classroom Multimedia Physics Studio
Calculate the resultant velocity of an airplane that normally flies at 200 km/h if it encounters a 50 kn/h tailwind. If it encounters a 50 km/h headwind. • Calculate the resultant of the pair of velocities 100 km/h and 75 km/h south.
3) Ivan pulls a sled loaded with logs to his cabin in the woods. If he pulls with a force of 800N in a direction 20.0 above the horizontal, what are the vertical and horizontal components of the force exerted by Ivan?
4) Carlos sees a UFO out his bedroom windows and calls to report it to the police. He says, “The UFO moved 20.0 m east, 10.0 m north, and 30.0 m west before it disappeared.” What was the displacement of the UFO? (solve graphically)
CONCEPTUAL PHYSICS Vectors