A large water tank open to the atmosphere supplies water for a nozzle to supply a continuous jet stream of water. The stream needs to reach a height with sufficient flow rate, to be used for fire protection. A pump is used to deliver water up through a pipe angled at 60o to the horizontal and at the top the flow is horizontal out of the nozzle with a diameter of 5 cm. A flow rate of Q= 0.02 m3/s is required. Five different heights are to be evaluated 10 through 50 m at 10 m increments. Also two different pipe diameters are to be evaluated for each condition, 7 cm and 10 cm. The total losses in the piping system can be:

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

Gordon is going for a run through the park, but it is cold outside. the low outside temperature could affect his personal safety.

Madison pushes with a 210-n horizontal force on a 24-kg crate of coffee resting on a warehouse floor. the force of friction on the crate is 74 n. what is the acceleration?