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?”
Category Archives: Energy and Momentum
ELASTIC COLLISIONS: Kinetic Energy, Momentum, Two Equations, and Two Unknown Variables
If a + b = c, and if b = e + f, then it’s also true that a + e + f = c. Any time a variable is common to two or more similar equations, solving one of the two equations will enable us to substitute the common variable into the remaining equation.Continue reading “ELASTIC COLLISIONS: Kinetic Energy, Momentum, Two Equations, and Two Unknown Variables”
GAS LAWS: Boltzmann’s Constant
In previous circumstances, a known quantity of an ideal gas in moles ( n ) was shown to influence a volume of space in accordance with the Ideal Gas Law ( PV = nRT ). It is useful, however, to be able to determine the number of molecules ( N ) of a gas thatContinue reading “GAS LAWS: Boltzmann’s Constant”
GAS LAWS: The Ideal Gas Law.
In general terms, E = mc^2 regards energy liberated when various types of subatomic collisions occur ( and typically dislodge a nucleus ), with m = mass ( kg ), and c = speed of light ( 3.0 * 10^8 m/s ). E/m = constant, and although different, a system in which gases undergo elasticContinue reading “GAS LAWS: The Ideal Gas Law.”
ENERGY AND MOMENTUM: Artificial Gravity in a Spinning Spacecraft.
Q: A team of engineers is building a spaceship to go to Jupiter. Their design includes a gravity ring, a spinning section where (in the ring’s reference frame) astronauts are pushed outwards by the centrifugal force. In their current design, the ring has to spin once every ten seconds in order to provide the sameContinue reading “ENERGY AND MOMENTUM: Artificial Gravity in a Spinning Spacecraft.”
ENERGY AND MOMENTUM: ( x ) and ( y ) Vector Components of Motion.
Q: A steel ball of mass 10 kg moves due East at 5.0 m/s. It collides with a rubber ball of mass 5.0 kg moving at 10 m/s due North. After the collision the steel ball moves at an angle of 60° East of North with a speed of 4.0 m/s. What is the velocityContinue reading “ENERGY AND MOMENTUM: ( x ) and ( y ) Vector Components of Motion.”
GAS LAWS: Boyle’s Law, Charle’s Law, and Gay-Lussac’s Law.
GAS LAWS: Boyle’s Law, Charles’s Law, and Gay-Lussac’s Law The most easily observable macroscopic traits of a gas are its pressure ( P ), volume ( V ), mass ( m ), and temperature ( T ). Pressure is measured in Pascals ( or psi ) and has units of force ( N ) perContinue reading “GAS LAWS: Boyle’s Law, Charle’s Law, and Gay-Lussac’s Law.”