When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring?

A hand-driven tire pump has a piston with a 2.1 cm diameter and a maximum stroke of 24 cm. (a)  How much work do you do in one stroke if the average gauge pressure is 2.1 × 105 N/m2?  (b)  What average force do you exert on the piston, neglecting friction and gravitational force?

A rectangular swimming pool is 20m long and 10m wide and full of water. The bottom of the pool slopes uniformly from a depth of 0m to a depth of 6m. If the density of the water in the pool is δ kg/m^3 and the acceleration due to gravity is g m/s^2, find the work necessary to pump the water out of the top of the pool. Make sure to draw a diagram! Thank you! This is a calculs work problem from calculus 1&2

Stacy has a hollow can with an air tight plunger in the open end that can slide in and out without friction. The inside has a compressed spring that presses on the plunger outward, and there is a vacuum on the inside of the can. On the outside, the pressure of the atmosphere or some other fluid can press on the plunger to move it deeper into the can. The spring constant of the spring is k = 85 N/m and when the external pressure changes by 410 Pa, the spring is compressed an additional 3.5 cm. What is the radius of the plunger? For your physical representation, draw a free-body-diagram of the forces acting on the plunger.

When a tire pressure gauge is pressed against a tire valve, the air in the tire pushes against a plunger attached to a spring. Suppose the spring constant of the spring is k = 320 N/m and the bar indicator of the gauge extends 2.0 cm when the gauge is pressed against the tire valve. What force does the air in the tire apply to the spring? O 8.40 N 7.10 N O 6.40 N 7.50 N

I need help on this question:The pump in a water tower raises water with a density of ρw = 1.00 kg/liter from a filtered lake at the base of the tower up hT = 26 m to the highest point of the tower. The water begins at rest in the lake and comes to rest at the highest point of the tower. The pump is 100% efficient in lifting the water, and it raises a volume of Vw = 7.2 liters of water up the tower every second. The water tower sits on a mound that is Te = 35 m above sea level. Let gravitational potential energy be zero at ground level.

The drawing shows a hydsraulic chamber with a spring (string constant = 1250N/m) attached to the input piston and an object of 38 kg (resting on the output plunger).  The piston and plunger are at the same height  each having a negligible mass. By how much is the spring compressed from its unstrined position?

The plunger of a syringe has an internal diameter of 1.0 cm and the end of the needle has an internal diameter of 0.35 mm. A practitioner lightly squeezes the plunger, but no serum is emitted by the needle into a vein. So the practitioner gradually increases the squeezing force that she exerts on the plunger such that serum begins to be emitted from the needle into the vein. Assuming no surface tension or friction, what is the minimum squeezing force that the practitioner applies to the plunger in order that serum begins to be emitted from the needle into the vein? Take the pressure of blood in the vein to be 20 mmHg above that of atmospheric pressure. 0.70 N 3.3 N 0.21 N 0.24 N 1.4 N 17N

The plunger of a syringe has an internal diameter of 1.0 cm and the end of the needle has an internal diameter of 0.35 mm. A practitioner lightly squeezes the plunger, but no serum is emitted by the needle into a vein. So the practitioner gradually increases the squeezing force that she exerts on the plunger such that serum begins to be emitted from the needle into the vein. Assuming no surface tension or friction, what is the minimum squeezing force that the practitioner appli to the plunger in order that serum begins to be emitted from the needle into the vein? Take the pressure of blood in the vein to be 20 mmHg above that of atmospheric pressure. 0.70 N 1.4 N 3.3 N 1.7 N 0.21 N 0.24 N

A conical tank with height 10 and radius 2 is filled to the top with a liquid weighing 15 N/m3 . How much work spent pumping all of the liquid out of the tank through the top?