Although we usually write Newton's second law for one-dimensional motion in the form F=ma, which holds when mass is constant, a more fundamental version is . The simpler form holds only when the mass is constant. Consider an object whose mass is changing, and use the product rule for derivatives to find Newton’s law. Express your answer in terms of the variables m, a, v, and dm/dt.

Amachine, modeled as a simple spring-mass system, oscillates in simple harmonic motion. its acceleration is measured to have an amplitude of 5,000 mm/s with a fre- quency of 10 hz. compute the maximum displacement the machine undergoes during this oscillation.

Scout feels ill one day before school. her mother puts a thermometer in her mouth and the temperature begins to climb to 100°f. what is happening between the cooler thermometer and scout's body? a) scout's body is applying a force to the particles in the thermometer. b) kinetic energy is being transferred from her mouth to the thermometer. c) potential energy is being lost by the thermometer and gained by scout's body. d) the potential energy stored in foods is converted to mechanical energy to raise the mercury in the thermometer.

More solar radiation is absorbed by earth’s surface than by