A force F cos (! t) is applied to a spring of negligible mass which is fixed on one end and on the other end has an attached mass m = 1 kg. The spring constant is k = 100 N/m. If the applied force remains constant in magnitude, the amplitude of oscillation of the mass on the spring is maximum when the fre- quency of the applied force (cycles per second) is about

How would doubling the made of an object change the objects potential energy

Consider an ordinary, helium-filled party balloon with a volume of 2.2 ft3. the lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. using this fact, we can derive archimedes’ principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft3, calculate the maximum weight that can be lifted by the balloon. note: the molecular weight of air is 28.8 and that of helium is 4.

Automobile fuel efficiency is often measured in miles that the car can be driven per gallon of fuel (mpg). heavier cars tend to have lower fuel efficiencies (lower mpg ratings). which variable (weight or fuel efficiency) is most naturally considered the explanatory (predictor) variable in this context?