Math Review
What are fundamental units (or base units)?
This quantity is defined as the rate of change of displacement with respect to time.
What is velocity?
Projectile motion is analyzed by treating these two perpendicular directions independently.
What are the horizontal (x) and vertical (y) directions?
This law states that an object at rest stays at rest and object in motion stays in motion unless acted upon by a net external force.
What is Newton's First Law?
Extra points: What other name is there for this law?
The mechanical work done by a constant force equals the component force along the displacement multiplied by this quantity.
What is displacement?
Converting from miles per hour to meters per second uses this method of tracking and cancelling units.
What is dimensional analysis?
On an x versus t graph, the slope at a point gives this quantity.
What is instantaneous velocity?
A ball rolled horinzontally off a table and a ball dropped straight down from the same height share this same motion characteristic.
What is the same time of flight (vertical motion)?
This quantity, equal to mg, changes value when you go from Earth to the Moon even though your mass stays the same.
What is your weight?
When pushing a lawnmower at an angle, we use this vector operation to calculate work.
What is the dot product?
In a right triangle, the ratio of the opposite side to the hypotenuse defines this trigonometric function.
What is sine?
These three equations of motion relate displacement, velocity, acceleration, and time under constant acceleration.
What are the kinematic equations?
Extra points: Can you tell me what the three equations are?
In the cart--and-ball example, the ball lands back in the cart because they share the same value of this component of velocity.
What is the horizontal velocity (Vx)?
For a block on an incline, the component of its weight pulling it down the slope is mg times this trigonometric function of the angle.
What is mg sin theta?
This law for springs states that the restoring force is proportional to displacement.
What is Hooke's Law?
In proper scientific notation, there must be exactly this many nonzero digits to the left of the decimal point.
What is one?
Near Earth's surface, freely falling objects accelerate at approximately this value, ignoring air resistance.
What is 9.8 m/s^2?
Ignoring air resistance, this launch angle gives the maximum range for a projectile fired from ground level.
What is 45 degrees?
This law tells us that for every action force there is an equal and opposite reaction force.
What is Newton's Third Law?
For an isolated system with no nonconservatice forces, the sum of these two forms of mechanical energy remains constant.
What are kinetic and potential energy?
From PV = nRT, if temperature and moles are constant, pressure and volume are related this way.
What is inversely proportional?
A car brakes with constant acceleration from 25.0 m/s to rest in 4.00 s. This is the magnitude of its acceleration.
What is 6.25 m/s^2?
In the long-distance projectile example, ignoring air resistance causes the projectile's vertical motion to be governed solely by this acceleration.
What is gravitational acceleration?
The maximum static friction force between two surfaces is given by mu sub s multiplied by this force quantity.
What is the normal force?
Power is defined as the rate of doing work with respect to time and is measured in this SI unit.
What is the watt (W)?