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AcaDec. Science w/ Ms. Hendryx 9/8/11. Units (dimensional analysis). What am I asked for ? What units? What do I know ? What units do I have to work with? What do I need to know? What units are missing? Solve!. Units (dimensional analysis).
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AcaDec Science w/ Ms. Hendryx 9/8/11
Units (dimensional analysis) What am I asked for? What units? What do I know? What units do I have to work with? What do I need to know? What units are missing? Solve!
Units (dimensional analysis) There are 8 slurps in a burp, and there are 5 burps in a farkle. 3 farkles are equal to 4 bonks. If I have 2 bonks, how many slurps do I have?
Units (dimensional analysis) Force has units of Newtons. A Newton is defined as (kg*m)/s2. If I have a ball with a force of 3 Newtons moving with a velocity of 10 m/s for 2 seconds, what is the mass of the ball?
Review kinematics: v = v0+ at Δx = ½(v0+ v)t Δx = v0t + ½at2 v2 = v02 +2aΔx
Units (dimensional analysis) What is an object’s acceleration if it begins at rest and reaches 10m/s in 5s? What is an object’s final velocity if it begins at 3m/s and accelerates at 2m/s2 for 4s?
Units (dimensional analysis) What was the original velocity of an object that traveled 2m at an acceleration of 5m/s2 and reached a final velocity of 6m/s?
kinematics Which equation solves for the time it takes for a ball to reach the ground if thrown horizontally at 5m/s from a height of 25m? a. -25m = -5m/s(t) + . (9.8m/s2)t2 b. 25m = 5m/s(t) + . (9.8m/s2)t2 c. 25m = 0 + . (9.8m/s2)t2 d. -25m = 5m/s(t) + . (-9.8m/s2)t2 e. 25m = 5m/s(t)
practice When solving two-dimensional motion problems, the variable that remains the same in both the x- and y-directions is a. velocity b. displacement c. acceleration d. time e. momentum
Newton’s laws • Objects in motion stay in motion, and objects at rest stay at rest unless a force is applied. (Constant velocity unless a force is present) • F = ma • For every action, there is an equal and opposite reaction.
Important forces: GRAVITY: F = mg g = -9.81 m/s2 FRICTION (only works as opposing force): Static—before the object starts moving (block on a ramp) Kinetic—after the object starts moving (block on a ramp; air resistance) NORMAL FORCE: Supporting force (perpendicular to surface; book on desk)
practice You strike a golf ball with 150 N of force, at an angle of 30 degrees above the horizontal. As a result, the golf ball exerts a. a force of 150 N at an angle of 30 degrees above the horizontal on your golf club b. a force of 150 N at an angle of 0 degrees above the horizontal on your golf club c. a force of 150 N at an angle of 30 degrees below the horizontal on your golf club d. no force on your golf club; otherwise the ball would not move e. no force on your golf club; otherwise your golf club would fly backwards
practice Ignore air resistance effects. A ball is thrown straight up into the air at 5 m/s. At the highest point in its trajectory, a. velocity is zero b. velocity is constant c. acceleration decreases d. acceleration is zero e. acceleration increases
Force diagram Draw arrows corresponding to the forces acting on the blocks: m m