The drawing shows a hydraulic chamber with a spring (spring constant = 1150 N/m) attached to the input piston and a rock of mass 44.0 kg resting on the output plunger. The piston and plunger are nearly at the same height, and each has a negligible mass. By how much is the spring compressed from its unstrained position?

A dam on a river is built so that the wall facing the water is shaped like the region above the curve y = 0.3x² and below the line y 100. All distances are measured in meters. The water level is 25m below the top of the dam. The gravitational acceleration is g = 9.8m/s² and the density of water is p= 1000kg/m³. Find the hydrostatic force exerted on the dam. Answer (in Newtons):

A hippo is dozing under water with only its small nostrils sticking out. It has a mass of 3000 kg and a volume of about 2.98 m3 after exhaling. How much force in Newtons does it exert on the ground of the pool (fresh water, density 1g/cm3)?

E 3. A spring is attached to the bottom of an empty swimming pool, with the axis of the spring oriented vertically. An 8.60- kg block of wood (density = 770 kg/m³) is fixed to the top of the spring and compresses it. Then the pool is filled with water, completely covering the block. The spring is now observed to be stretched twice as much as it had been compressed. Determine the percentage of the block's total volume that is hollow. Ignore any air in the hollow space. % 20 C $ 27 R 888 V % 5 T G tv MacBook Air 6: B P H & F7 N 8 M ( 9 AO K O P zoom CIA by m EA 04 M wies or the puffer delete 21 A A

A hippo is dozing under water with only its small nostrils sticking out. It has a mass of 3000 kg and a volume of about 2.99 m3 after exhaling. How much force in Newtons does it exert on the ground of the pool (fresh water, density 1g/cm3)? Suhm Answor Trioc 0/2

4. A light spring of constant k = 90.0 N/m is attached vertically to a table. A balloon (with empty mass 2.50 g) is filled with a mixture of helium (density = 0.179 kg/m³) and air (density = 1.29 kg/m³) to a volume of 4.00 m³ and is then connected to the spring, causing the spring to stretch. If the spring stretches by 1.0 cm, find the required density of the gas mixture, and find how much helium and air you need to produce that mixture.