241.0 KB - NZTA Education Portal
... moving at constant speed. Newton’s Second Law: If unbalanced forces act on an object, then the object will accelerate in the direction in which the net force acts. Identify a body in a state of motion when the forces acting on it are unbalanced. This body may be: moving at increasing speed (acce ...
... moving at constant speed. Newton’s Second Law: If unbalanced forces act on an object, then the object will accelerate in the direction in which the net force acts. Identify a body in a state of motion when the forces acting on it are unbalanced. This body may be: moving at increasing speed (acce ...
Level Set and Phase Field Methods: Application to
... distance function near the interface while keeping the original zero level set unchanged. In other words, a given a level set function φ, at time t, is reinitialized to a signed distance function by integrating the following partial differential equation to steady state ∂φ = sign (φ0 )(1 − ∇φ ) ∂τ ...
... distance function near the interface while keeping the original zero level set unchanged. In other words, a given a level set function φ, at time t, is reinitialized to a signed distance function by integrating the following partial differential equation to steady state ∂φ = sign (φ0 )(1 − ∇φ ) ∂τ ...
Physicsskiing3
... they would be very safe until they hit an object such as a tree. Then momentum must be conserved and the tree won’t move as the skier flies into it. Friction often affects a skier. As the skier moves down the mountain, the snow can resist the motion of the skier, slowing her down and providing frict ...
... they would be very safe until they hit an object such as a tree. Then momentum must be conserved and the tree won’t move as the skier flies into it. Friction often affects a skier. As the skier moves down the mountain, the snow can resist the motion of the skier, slowing her down and providing frict ...
SECTION7.2 Using the Law of Universal Gravitation
... Orbits of Planets and Satellites (cont.) • The equations for speed and period of a satellite can be used for any object in orbit about another. Central body mass will replace mE, and r will be the distance between the centers of the orbiting body and the central body. • If the mass of the central bo ...
... Orbits of Planets and Satellites (cont.) • The equations for speed and period of a satellite can be used for any object in orbit about another. Central body mass will replace mE, and r will be the distance between the centers of the orbiting body and the central body. • If the mass of the central bo ...
ch 5 - Applying Newton`s Laws
... • In motion through air at the speed of a tossed tennis ball or faster, the resisting force is approximately proportional to v2 rather than v. It is then called air drag or simply drag. Airplanes, falling raindrops, and bicyclists all experience air drag. The air drag on a typical car is negligible ...
... • In motion through air at the speed of a tossed tennis ball or faster, the resisting force is approximately proportional to v2 rather than v. It is then called air drag or simply drag. Airplanes, falling raindrops, and bicyclists all experience air drag. The air drag on a typical car is negligible ...
Josephson junctions
... error.) Indeed, these are exactly Newton’s equations for the motion of a pendulum (parametrized so the pendulum shaft points along θ); it equally well describes the classical motion of a particle in a sinusoidal potential. To round out the analogy, V (t) is a velocity, C is a mass, and Ic is like th ...
... error.) Indeed, these are exactly Newton’s equations for the motion of a pendulum (parametrized so the pendulum shaft points along θ); it equally well describes the classical motion of a particle in a sinusoidal potential. To round out the analogy, V (t) is a velocity, C is a mass, and Ic is like th ...
Collisions - The University of Oklahoma Department of Physics and
... leave a mark as they skid on the highway. Second, the car can slow down by the force of the brakes on the wheels. This formula only works for when the tires are skidding. So the car could have slowed down a lot before the marks were left. ...
... leave a mark as they skid on the highway. Second, the car can slow down by the force of the brakes on the wheels. This formula only works for when the tires are skidding. So the car could have slowed down a lot before the marks were left. ...
13_InstructorSolutions
... (c) x = A cos(ωt + φ ) Let φ = −π /2 so that x = 0 at t = 0. Then x = A cos(ωt − π /2) = A sin(ωt ) [Using the trig identity cos(a − π /2) = sin a ] Find the time t that gives x = 0.120 m. 0.120 m = (0.180 m)sin(ωt ) sin ωt = 0.6667 t = arcsin(0.6667)/ω =0.7297 rad/(5.34 rad/s) = 0.137 s EVALUATE: I ...
... (c) x = A cos(ωt + φ ) Let φ = −π /2 so that x = 0 at t = 0. Then x = A cos(ωt − π /2) = A sin(ωt ) [Using the trig identity cos(a − π /2) = sin a ] Find the time t that gives x = 0.120 m. 0.120 m = (0.180 m)sin(ωt ) sin ωt = 0.6667 t = arcsin(0.6667)/ω =0.7297 rad/(5.34 rad/s) = 0.137 s EVALUATE: I ...
Classical central-force problem
In classical mechanics, the central-force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In many important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.The solution of this problem is important to classical physics, since many naturally occurring forces are central. Examples include gravity and electromagnetism as described by Newton's law of universal gravitation and Coulomb's law, respectively. The problem is also important because some more complicated problems in classical physics (such as the two-body problem with forces along the line connecting the two bodies) can be reduced to a central-force problem. Finally, the solution to the central-force problem often makes a good initial approximation of the true motion, as in calculating the motion of the planets in the Solar System.