FLUIDS: Torricelli’s Theorem and the Conservation of Energy

The Law of Conservation of Energy states that energy can neither be created nor destroyed, but it does have the ability to change forms. Take for example an object of mass ( m ) that has been raised to some arbitrary height ( h ). The work ( W ) done on the object is

ENERGY AND MOMENTUM: The Joule

The International System of Units ( SI ) uses seven base units to describe seven fundamental quantities that can be measured by scientists: Symbol Name  Base quantity second ( s )     time meter ( m )        length kilogram ( kg )  mass ampere ( A ) electric current kelvin (

ENERGY AND MOMENTUM: Elastic Collision Determination ( Part 2 )

Q: An elastic collision occurs between two objects of mass ( m1 ) and ( m2 ). Prior to the collision, mass ( m2 ) is stationary and approached by ( m1 ) with a velocity ( v1 ). If only the values of ( m1 ), ( m2 ), and ( v1 ) are

FORCE AND ACCELERATION: 3-4-5 Right-Triangle Mathematics

Q: Two men attempt to pull a box in the diagram below: What is the resultant force in Newtons ( N ) exerted on the box? A: This is a classic question involving a 3-4-5 right triangle. Trigonometry and the Pythagorean Theorem enable us to solve the problem using the numbers 3, 4, and 5.

ENERGY AND MOMENTUM: What is the Initial Velocity of the Marble?

Q: A collision occurs between two marbles of equal mass ( m1 = m2 ). Marble ( m2 ) is initially at rest, and ( m1 ) travels with a velocity ( v1 ). After colliding, ( m2 ) acquires a velocity ( v2′y ) of 1.10 m/s and travels 400 from the original line

ENERGY AND MOMENTUM: What is the final velocity of the hovering disk?

Q: A disk of mass 0.5 kg slides with a constant velocity of 2.4 m/s over an air table before colliding with an elastic band. If the band exerts an average force of 1.4 Newtons on the disk for 1.5 seconds, what is the final velocity of the disc? A1: The disc will experience a

ENERGY AND MOMENTUM: Moment of Inertia and the Parallel Axis Theorem

Inertia is a measure of a system’s ability to resist a change in motion, and it is directly proportional to a system’s massiveness. Such a system or object could be stationary with respect to an observer, or it could move with a constant velocity. When a system moves with constant velocity with respect to an

FORCE AND ACCELERATION: Mechanical Advantage and Tension Within Pulley Systems

The law of conservation of energy states that the total energy of an isolated system remains constant. The SI unit of energy is the joule ( J ), and it’s base-unit composition is kg*m2/s2. Energy is the currency needed to perform work, and work is performed upon an object when an applied force moves it

FORCE AND ACCELERATION: The Gravitational Force of Attraction

Q: An arbitrary distance separates two objects of equal mass. If the mass of each object is doubled, and the distance between the two objects is tripled, how will the force of attraction between the two objects change? A: This question regards the gravitational force of attraction that exists between two objects with well-defined masses

KINEMATICS: The ” architecture of motion. “

Q: A mass m is moving horizontally across the surface of the earth with a velocity of ( v ) = 30 m/s . The mass approaches a ledge with an edge situated 100 m above the ocean. The mass eventually moves off the ledge and falls until it reaches the ocean’s surface. Calculate the