Acart of mass 250 g is place on a frictionless horizontal air track. a spring having a spring constant of 9.5 n/m is attached between the cart and the left end o f the track. if the cart is displaced 4.5 cm from its equilibrium position, find: a) the period at which it oscillates.[1.0 s] b) its maximum speed.[0.28 m/s] c) its speed when it is located 2.0 cm from its equilibrium position.[0.25 m/s]

When considering gravity acceleration and the force of acceleration, what must be true? a. the direction of acceleration must be perpendicular to the direction of the force. b. the direction of the force and the direction of acceleration must be the same as each other. c. the direction of the force and the direction of acceleration must be opposite of each other. d. the mass of the body must be the same as the acceleration of the body.

Two kilograms of air within a piston–cylinder assembly executes a carnot power cycle with maximum and minimum temperatures of 800 k and 300 k, respectively. the heat transfer to the air during the isothermal expansion is 60 kj. at the end of the isothermal expansion the volume is 0.4 m3. assume the ideal gas model for the air. determine the thermal efficiency, the volume at the beginning of the isothermal expansion, in m3, and the work during the adiabatic expansion, in kj.

Find v1, the speed of the fluid in the left end of the main pipe. express your answer in terms of h1, h2, g, and either a1 and a2 or γ, which is equal to a1a2.