AP PHYSICS: Final Speed of a Block / Incline System

Q1 : A mass ( m1 ) of 1.20 kg is situated at the bottom of an incline that is 30o to the horizontal. At the top of the incline, there’s a 0.500 kg disk that is kept fixed by a frictionless axle. A cord is placed over the disk and used to lift aContinue reading “AP PHYSICS: Final Speed of a Block / Incline System”

ENERGY AND MOMENTUM: The Potential Energy of a Pendulum

Q: A pendulum of unknown mass ( m ) is rotated through an angle ( θ ) until it is vertically displaced by a distance ( Δh ). As a consequence, it has a gain in potential energy ( PE ) within the gravitational field that is directly proportional to its vertical displacement. If theContinue reading “ENERGY AND MOMENTUM: The Potential Energy of a Pendulum”

FLUIDS: Potential Energy, Kinetic Energy, Momentum, and Torricelli’s Theorem

Q: A 0.2 m container is full of a fluid of unknown density ( ρ ). A spigot at the bottom of the container is opened to allow fluid to flow at an unknown velocity ( v ) onto the ground. With what velocity will the fluid flow through the spigot? A: In a separateContinue reading “FLUIDS: Potential Energy, Kinetic Energy, Momentum, and Torricelli’s Theorem”

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 isContinue reading “FLUIDS: Torricelli’s Theorem and the Conservation of Energy”

INTRODUCTION TO ELECTRONICS: Energy and Power ( Part 2 )

Newton’s First Law of Motion states that a body that sits still or moves with a constant velocity with respect to a motionless observer will have its status unaltered until acted upon by an unbalanced force. Such a change in motion is accompanied by an acceleration, which is a change of velocity of an object:Continue reading “INTRODUCTION TO ELECTRONICS: Energy and Power ( Part 2 )”

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 (Continue reading “ENERGY AND MOMENTUM: The Joule”

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 lineContinue reading “ENERGY AND MOMENTUM: What is the Initial Velocity of the Marble?”

ENERGY and MOMENTUM: How Fast Will the Block Move When a Compressed Spring is Released?

Q: A spring with a spring constant k = 100 N/m is compressed a distance ( x ) = 100 mm. A block with a mass ( m ) = 0.250 kg is placed next to the spring. The surface upon which the block rests is frictionless and horizontal. When the spring and block areContinue reading “ENERGY and MOMENTUM: How Fast Will the Block Move When a Compressed Spring is Released?”

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 massesContinue reading “FORCE AND ACCELERATION: The Gravitational Force of Attraction”

ENERGY AND MOMENTUM: Which Object Will Roll Down a Hill More Rapidly?

If a buggy and a sphere of equal masses begin rolling side-by-side down a hill, which will reach the bottom of the hill first ( neglecting wind resistance ) ? For simplicity, we should pretend that the energy transfer in this problem is 100% efficient: no losses occur due to sound, random vibrations, or windContinue reading “ENERGY AND MOMENTUM: Which Object Will Roll Down a Hill More Rapidly?”